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From: Anurag Saha Roy Date: Thu, 24 Jun 2021 14:46:53 +0200 Subject: [PATCH 02/25] add alias for opt.run() --- c3/optimizers/c3.py | 1 + 1 file changed, 1 insertion(+) diff --git a/c3/optimizers/c3.py b/c3/optimizers/c3.py index e80e12e0..b4d9bd39 100755 --- a/c3/optimizers/c3.py +++ b/c3/optimizers/c3.py @@ -115,6 +115,7 @@ def __init__( self.fom = g_LL_prime_combined self.__dir_path = dir_path self.__run_name = run_name + self.run = self.learn_model # Alias legacy name for optimization method def log_setup(self) -> None: """ From f12d57099cec3496fb5c2a789be498089dd81d0c Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Thu, 24 Jun 2021 15:10:47 +0200 Subject: [PATCH 03/25] update key name for std --- c3/optimizers/c3.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/c3/optimizers/c3.py b/c3/optimizers/c3.py index b4d9bd39..453b76b0 100755 --- a/c3/optimizers/c3.py +++ b/c3/optimizers/c3.py @@ -245,7 +245,7 @@ def _log_one_dataset( ) -> None: seqs_pp = self.seqs_per_point m_vals = data_set["results"][:seqs_pp] - m_stds = np.array(data_set["result_stds"][:seqs_pp]) + m_stds = np.array(data_set["results_std"][:seqs_pp]) m_shots = data_set["shots"][:seqs_pp] sequences = data_set["seqs"][:seqs_pp] with open(self.logdir + self.logname, "a") as logfile: @@ -310,7 +310,7 @@ def goal_run(self, current_params: tf.constant) -> tf.float64: count += 1 data_set = self.learn_from[ipar] m_vals = data_set["results"][:seqs_pp] - m_stds = data_set["result_stds"][:seqs_pp] + m_stds = data_set["results_std"][:seqs_pp] m_shots = data_set["shots"][:seqs_pp] sequences = data_set["seqs"][:seqs_pp] num_seqs = len(sequences) @@ -389,7 +389,7 @@ def goal_run_with_grad(self, current_params): seqs_pp = self.seqs_per_point m_vals = data_set["results"][:seqs_pp] - m_stds = np.array(data_set["result_stds"][:seqs_pp]) + m_stds = np.array(data_set["results_std"][:seqs_pp]) m_shots = data_set["shots"][:seqs_pp] sequences = data_set["seqs"][:seqs_pp] num_seqs = len(sequences) From ae314847423fd80ba34583fe194d331df59ef068 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Fri, 25 Jun 2021 17:39:46 +0200 Subject: [PATCH 04/25] fix best point read at par with c1 and c2 --- c3/optimizers/c3.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/c3/optimizers/c3.py b/c3/optimizers/c3.py index 453b76b0..eec87155 100755 --- a/c3/optimizers/c3.py +++ b/c3/optimizers/c3.py @@ -196,8 +196,8 @@ def learn_model(self) -> None: ) except KeyboardInterrupt: pass - with open(self.logdir + "best_point_" + self.logname, "r") as file: - best_params = hjson.loads(file.readlines()[1])["params"] + with open(os.path.join(self.logdir, "best_point_" + self.logname), "r") as file: + best_params = hjson.load(file)["optim_status"]["params"] self.pmap.set_parameters(best_params) self.pmap.model.update_model() self.end_log() From 825ec153d074f18d6b6ffbe000b95bce39ecbc91 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:28:22 +0200 Subject: [PATCH 05/25] update cfg to use new small dataset --- test/c3.cfg | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/c3.cfg b/test/c3.cfg index 1dd11e54..b24b72b8 100644 --- a/test/c3.cfg +++ b/test/c3.cfg @@ -4,7 +4,7 @@ "exp_cfg" : "test/one_qubit.hjson", "datafiles" : { - "orbit" : "examples/data/calibration/dataset.pickle", + "orbit" : "examples/data/small_dataset.pkl", }, "algorithm" : "cma_pre_lbfgs", "options" : From c79e9b7577d8862f7c7ebd9e69ad262dee375a6e Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:29:50 +0200 Subject: [PATCH 06/25] use system model based on example blackbox --- test/c3.cfg | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/c3.cfg b/test/c3.cfg index b24b72b8..7153fa5d 100644 --- a/test/c3.cfg +++ b/test/c3.cfg @@ -1,7 +1,7 @@ { "run_name": "c3", "optim_type": "C3", - "exp_cfg" : "test/one_qubit.hjson", + "exp_cfg" : "test/c2_blackbox_exp.hjson", "datafiles" : { "orbit" : "examples/data/small_dataset.pkl", From eb4c4eac859b66a3e553f03a2c9d83c4666c25ed Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:31:11 +0200 Subject: [PATCH 07/25] rectify state labels for single qubit device --- test/c3.cfg | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/c3.cfg b/test/c3.cfg index 7153fa5d..06fce4c8 100644 --- a/test/c3.cfg +++ b/test/c3.cfg @@ -27,7 +27,7 @@ }, "state_labels" : { - "orbit" : [[1, 0], [1, 1]] + "orbit" : [[1, ], [2, ]] }, "exp_opt_map" : [ From 58e1bc97c54ac0a9613b1284e56d1f4b9f00ae4b Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:32:14 +0200 Subject: [PATCH 08/25] set lbfgs maxfun to 50 --- test/c3.cfg | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/c3.cfg b/test/c3.cfg index 06fce4c8..1ed8afc5 100644 --- a/test/c3.cfg +++ b/test/c3.cfg @@ -18,7 +18,7 @@ "spread" : 0.05, "stop_at_sigma" : 0.01 }, - "lbfgs":{} + "lbfgs":{"maxfun": 50, "disp": 0} }, "sampling" : "high_std", "batch_sizes" : From cdcdff8b20fb246a686d5e20f0c76b674f1887c9 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:32:52 +0200 Subject: [PATCH 09/25] only 2 orbit data points are sufficient --- test/c3.cfg | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test/c3.cfg b/test/c3.cfg index 1ed8afc5..50ca4425 100644 --- a/test/c3.cfg +++ b/test/c3.cfg @@ -23,7 +23,7 @@ "sampling" : "high_std", "batch_sizes" : { - "orbit" : 8 + "orbit" : 2 }, "state_labels" : { From e2962447960d37031326bbeca3343e359aa60a78 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:39:19 +0200 Subject: [PATCH 10/25] exp hjson based on blackbox in Simulated Calibration Blackbox freq 5e9 and anhar -210e6 Model freq: { value: 5000100000.0 min_val: 4995000000.0 max_val: 5005000000.0 unit: Hz 2pi symbol: \alpha } Model anhar: { value: -210001000.0 min_val: -380000000.0 max_val: -120000000.00000003 unit: Hz 2pi symbol: \alpha } --- test/c2_blackbox_exp.hjson | 611 +++++++++++++++++++++++++++++++++++++ 1 file changed, 611 insertions(+) create mode 100644 test/c2_blackbox_exp.hjson diff --git a/test/c2_blackbox_exp.hjson b/test/c2_blackbox_exp.hjson new file mode 100644 index 00000000..4d48a037 --- /dev/null +++ b/test/c2_blackbox_exp.hjson @@ -0,0 +1,611 @@ +{ + instructions: + { + "id[0]": + { + gate_length: 7e-09 + drive_channels: + { + d1: + { + no_drive: + { + c3type: Envelope + shape: no_drive + params: + { + amp: + { + value: 1.0 + min_val: -1.0 + max_val: 1.5 + unit: V + symbol: \alpha + } + delta: + { + value: 0.0 + min_val: -5.0 + max_val: 5.0 + unit: V + symbol: \alpha + } + freq_offset: + { + value: 0.0 + min_val: -1.0 + max_val: 1.0 + unit: Hz 2pi + symbol: \alpha + } + xy_angle: + { + value: 0.0 + min_val: -1.0 + max_val: 1.0 + unit: rad + symbol: \alpha + } + sigma: + { + value: 4.999999969612645e-09 + min_val: -2.0 + max_val: 2.0 + unit: s + symbol: \alpha + } + t_final: + { + value: 7e-09 + min_val: 3.5e-09 + max_val: 1.05e-08 + unit: s + symbol: \alpha + } + } + drag: false + } + carrier: + { + c3type: Carrier + params: + { + freq: + { + value: 5050000000.0 + min_val: 4500000000.0 + max_val: 6000000000.0 + unit: Hz 2pi + symbol: \alpha + } + framechange: + { + value: 5.933185307179587 + min_val: -3.141592653589793 + max_val: 9.42477796076938 + unit: rad + symbol: \alpha + } + } + } + } + } + } + "rx90p[0]": + { + gate_length: 7e-09 + drive_channels: + { + d1: + { + gauss: + { + c3type: Envelope + shape: gaussian_nonorm + params: + { + amp: + { + value: 0.45 + min_val: 0.4 + max_val: 0.6 + unit: V + symbol: \alpha + } + delta: + { + value: -1.0 + min_val: -5.0 + max_val: 3.0 + unit: "" + symbol: \alpha + } + freq_offset: + { + value: -50500000.00000001 + min_val: -60000000.0 + max_val: -40000000.0 + unit: Hz 2pi + symbol: \alpha + } + xy_angle: + { + value: -4.440892098500626e-16 + min_val: -1.5707963267948966 + max_val: 7.853981633974483 + unit: rad + symbol: \alpha + } + sigma: + { + value: 1.75e-09 + min_val: 8.75e-10 + max_val: 3.5e-09 + unit: s + symbol: \alpha + } + t_final: + { + value: 7e-09 + min_val: 3.5e-09 + max_val: 1.05e-08 + unit: s + symbol: \alpha + } + } + drag: false + } + carrier: + { + c3type: Carrier + params: + { + freq: + { + value: 5050000000.0 + min_val: 4500000000.0 + max_val: 6000000000.0 + unit: Hz 2pi + symbol: \alpha + } + framechange: + { + value: 0.0 + min_val: -3.141592653589793 + max_val: 9.42477796076938 + unit: rad + symbol: \alpha + } + } + } + } + } + } + "ry90p[0]": + { + gate_length: 7e-09 + drive_channels: + { + d1: + { + gauss: + { + c3type: Envelope + shape: gaussian_nonorm + params: + { + amp: + { + value: 0.45 + min_val: 0.4 + max_val: 0.6 + unit: V + symbol: \alpha + } + delta: + { + value: -1.0 + min_val: -5.0 + max_val: 3.0 + unit: "" + symbol: \alpha + } + freq_offset: + { + value: -50500000.00000001 + min_val: -60000000.0 + max_val: -40000000.0 + unit: Hz 2pi + symbol: \alpha + } + xy_angle: + { + value: 1.5707963267948966 + min_val: -1.5707963267948966 + max_val: 7.853981633974483 + unit: rad + symbol: \alpha + } + sigma: + { + value: 1.75e-09 + min_val: 8.75e-10 + max_val: 3.5e-09 + unit: s + symbol: \alpha + } + t_final: + { + value: 7e-09 + min_val: 3.5e-09 + max_val: 1.05e-08 + unit: s + symbol: \alpha + } + } + drag: false + } + carrier: + { + c3type: Carrier + params: + { + freq: + { + value: 5050000000.0 + min_val: 4500000000.0 + max_val: 6000000000.0 + unit: Hz 2pi + symbol: \alpha + } + framechange: + { + value: 0.0 + min_val: -3.141592653589793 + max_val: 9.42477796076938 + unit: rad + symbol: \alpha + } + } + } + } + } + } + "rx90m[0]": + { + gate_length: 7e-09 + drive_channels: + { + d1: + { + gauss: + { + c3type: Envelope + shape: gaussian_nonorm + params: + { + amp: + { + value: 0.45 + min_val: 0.4 + max_val: 0.6 + unit: V + symbol: \alpha + } + delta: + { + value: -1.0 + min_val: -5.0 + max_val: 3.0 + unit: "" + symbol: \alpha + } + freq_offset: + { + value: -50500000.00000001 + min_val: -60000000.0 + max_val: -40000000.0 + unit: Hz 2pi + symbol: \alpha + } + xy_angle: + { + value: 3.141592653589793 + min_val: -1.5707963267948966 + max_val: 7.853981633974483 + unit: rad + symbol: \alpha + } + sigma: + { + value: 1.75e-09 + min_val: 8.75e-10 + max_val: 3.5e-09 + unit: s + symbol: \alpha + } + t_final: + { + value: 7e-09 + min_val: 3.5e-09 + max_val: 1.05e-08 + unit: s + symbol: \alpha + } + } + drag: false + } + carrier: + { + c3type: Carrier + params: + { + freq: + { + value: 5050000000.0 + min_val: 4500000000.0 + max_val: 6000000000.0 + unit: Hz 2pi + symbol: \alpha + } + framechange: + { + value: 0.0 + min_val: -3.141592653589793 + max_val: 9.42477796076938 + unit: rad + symbol: \alpha + } + } + } + } + } + } + "ry90m[0]": + { + gate_length: 7e-09 + drive_channels: + { + d1: + { + gauss: + { + c3type: Envelope + shape: gaussian_nonorm + params: + { + amp: + { + value: 0.45 + min_val: 0.4 + max_val: 0.6 + unit: V + symbol: \alpha + } + delta: + { + value: -1.0 + min_val: -5.0 + max_val: 3.0 + unit: "" + symbol: \alpha + } + freq_offset: + { + value: -50500000.00000001 + min_val: -60000000.0 + max_val: -40000000.0 + unit: Hz 2pi + symbol: \alpha + } + xy_angle: + { + value: 4.71238898038469 + min_val: -1.5707963267948966 + max_val: 7.853981633974483 + unit: rad + symbol: \alpha + } + sigma: + { + value: 1.75e-09 + min_val: 8.75e-10 + max_val: 3.5e-09 + unit: s + symbol: \alpha + } + t_final: + { + value: 7e-09 + min_val: 3.5e-09 + max_val: 1.05e-08 + unit: s + symbol: \alpha + } + } + drag: false + } + carrier: + { + c3type: Carrier + params: + { + freq: + { + value: 5050000000.0 + min_val: 4500000000.0 + max_val: 6000000000.0 + unit: Hz 2pi + symbol: \alpha + } + framechange: + { + value: 0.0 + min_val: -3.141592653589793 + max_val: 9.42477796076938 + unit: rad + symbol: \alpha + } + } + } + } + } + } + } + model: + { + Qubits: + { + Q1: + { + c3type: Qubit + params: + { + freq: + { + value: 5000100000.0 + min_val: 4995000000.0 + max_val: 5005000000.0 + unit: Hz 2pi + symbol: \alpha + } + anhar: + { + value: -210001000.0 + min_val: -380000000.0 + max_val: -120000000.00000003 + unit: Hz 2pi + symbol: \alpha + } + temp: + { + value: 0.0 + min_val: 0.0 + max_val: 0.12 + unit: K + symbol: \alpha + } + } + hilbert_dim: 3 + } + } + Couplings: + { + d1: + { + c3type: Drive + params: {} + hamiltonian_func: x_drive + connected: + [ + Q1 + ] + } + } + Tasks: + { + init_ground: + { + c3type: InitialiseGround + params: + { + init_temp: + { + value: 0 + min_val: -0.001 + max_val: 0.22 + unit: K + symbol: \alpha + } + } + } + } + } + generator: + { + Devices: + { + LO: + { + c3type: LO + inputs: 0 + outputs: 1 + params: {} + resolution: 100000000000.0 + } + AWG: + { + c3type: AWG + inputs: 0 + outputs: 1 + params: {} + resolution: 2000000000.0 + options: drag_2 + } + DigitalToAnalog: + { + c3type: DigitalToAnalog + inputs: 1 + outputs: 1 + params: {} + resolution: 100000000000.0 + } + Response: + { + c3type: Response + inputs: 1 + outputs: 1 + params: + { + rise_time: + { + value: 3e-10 + min_val: 5e-11 + max_val: 6e-10 + unit: s + symbol: \alpha + } + } + resolution: 100000000000.0 + } + Mixer: + { + c3type: Mixer + inputs: 2 + outputs: 1 + params: {} + resolution: 0 + } + VoltsToHertz: + { + c3type: VoltsToHertz + inputs: 1 + outputs: 1 + params: + { + V_to_Hz: + { + value: 1000000000.0 + min_val: 900000000.0 + max_val: 1100000000.0 + unit: Hz/V + symbol: \alpha + } + } + resolution: 0 + } + } + Chains: + { + d1: + [ + LO + AWG + DigitalToAnalog + Response + Mixer + VoltsToHertz + ] + } + } +} \ No newline at end of file From 393f02910a9b89659504ee2b736b46ff03d6f01f Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:43:40 +0200 Subject: [PATCH 11/25] dataset based on few runs in Simulated Calibration The dataset is an ORBIT experiment with 20 ORBIT sequences, and altogether 30 experiments (calibration runs) were performed. 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    3~-!aV-yN1G*370F0fa|J=p z2W`tI8xUwzf~9RlAV>-XEdj=%N|2HX7{oLeRqN)f)hlEp!O^OqS`XI-^*QX>Lb`S> z&}In~2L$Uz1V9>ypw-R9;lDzsPx zlbI2eB5AG`vu(&g3Pi9FTw6sPtcCu4R-Qu;By$Tv2#$bcLtIU;RSF77lO)B!wFFd2 zfgrf~)H*&@wV)tC+y1;DbArSTRT2}>wt+xZ3qc?Yf|i@jme>M{uN9x*{#bou&z-~0 zgTMPF-c91SN#fSWD5ntb_j$=xSjY) zgqvlixN6)2^7omd`{umZ&vDP5@bF9fFXlHn9vye@MH@eUuH!Db{uA50u(y9;+iL&Z@#(XNdWCOJ z`gYif_xrpn9yDyzwMe|w8A z13nvH+a5{$$<%y8#%@@o}J1iTE>+ceaziQaFq1AB{dx$NdySILSjnf7_neb}r zJv`EKLhtsgytjPgm%3`#sY&>GN^?3O3;$9$fnL^@FMb;<6(yF!6#Y z2-HSmq(D`IM6eJR#3g9C@zQtj&^G#VJ#4*}@r=?R+mVtc#er-aaS7rOQ25YRObA>- zux@UA@O7)Lf=f9xAyg5c%n9nY1t-AG8Y8c*f(y6m|56}6LGZ&F5US9oDnU)qVz!Oa z!GhWdQX4^SEC_{D3w|xd5kO0YsS_xWn9bbrP zT`PvRq#Fn%Mv&Sxv~Gwls`)uYjs(#fY;+X_olaLNvxt=Zx>&A{lTV@}fp5*hr7A%k zKUrNs3u+^XWOiy)ZAje)F7oCp1isa#Dq4e$s6sFtDXl>12--HX04yccBZlbt)Ud%P zRX?}HsMZk#suE1D1={p{whbYP3ybPWbSwDr@Ia8N79w4!0+KmFYO__eSpuq-E8-A= zpcN}_L-gtuA{7mTBZ3lvau6g!fM~M{s3r-RMC+26AXLw1NieUcN<)#kjgQP!C1~5g zwN)guZkmfKxN>SC2)_MZ+ZSHv>R~=5*IL^dI8PRMmD7o z=J87eg-`{oN5P8GQ6e!waPw~i@dXSye5?K9Q&4Ev_-)s2sFJSEKyH?Ryrl{tBz9-w z%UZ^|zp~#v;_0wkG1*oBxAJb80~+65KL15DmpqwmH8^gzUGgWtUlMP4xx#V#UePkV zlE?3i=;xT}eWS`g&J)-D&FM~j;rcxu_{Q%AMefy(8{HcJ-|q8g)3+}@@Xfrb{Xg^j zFqIpUx*g^BVf0SUPoaO~t^7VrtL(m=sV-S%pRDK3c+pRKcjm&mTWm1U$Y8;yNr&%K%-aH7*4H}>My|1;U|jJz~>>)}sa)5mcix^(LgpZ&z|jOg2! z20SqCwSHB5HgjiR`_30jdN;kJHFeXqM*h^zyY+wYo@wI__vQx7zFIUfoYVw8zm$_wL?j z=!NT6JG#%SeBI|&?)-VkaN#<~9@V%GM;_j**RkDuwLQAm;U{)Kvf=QPj_E%1@a}!v F{a?gcfp!1@ literal 0 HcmV?d00001 From 4fad92eaca1bcf83f236033a17974ecd5b7d0592 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:49:58 +0200 Subject: [PATCH 12/25] use correct dataset, exp hjson and state labels --- test/sensitivity.cfg | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/test/sensitivity.cfg b/test/sensitivity.cfg index cfce88e8..cc69914f 100644 --- a/test/sensitivity.cfg +++ b/test/sensitivity.cfg @@ -1,9 +1,9 @@ { "optim_type": "SET", - "exp_cfg" : "test/one_qubit.hjson", + "exp_cfg" : "test/c2_blackbox_exp.hjson", "datafiles" : { - "orbit" : "examples/data/calibration/dataset.pickle", + "orbit" : "examples/data/small_dataset.pkl", }, "dir_path" : "/tmp", "algorithm" : "sweep", @@ -19,7 +19,7 @@ }, "state_labels" : { - "orbit" : [[1, 0], [1, 1]] + "orbit" : [[1, ], [2, ]] }, "estimator" : "g_LL_prime", "estimator_list" : [], From f7460815111998cf07155e85d907cb60186c80d8 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 18:52:36 +0200 Subject: [PATCH 13/25] add markers, add test for creating C3 style optim object --- test/test_optim_init.py | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) diff --git a/test/test_optim_init.py b/test/test_optim_init.py index a58add23..5e156d24 100644 --- a/test/test_optim_init.py +++ b/test/test_optim_init.py @@ -2,36 +2,43 @@ """ import hjson +import pytest from c3.optimizers.c1 import C1 +from c3.optimizers.c3 import C3 from c3.experiment import Experiment from c3.main import run_cfg +@pytest.mark.integration def test_main_c1() -> None: with open("test/c1.cfg", "r") as cfg_file: cfg = hjson.load(cfg_file) run_cfg(cfg, "test/c1.cfg", debug=True) +@pytest.mark.integration def test_main_c2() -> None: with open("test/c2.cfg", "r") as cfg_file: cfg = hjson.load(cfg_file) run_cfg(cfg, "test/c2.cfg", debug=True) +@pytest.mark.integration def test_main_c3() -> None: with open("test/c3.cfg", "r") as cfg_file: cfg = hjson.load(cfg_file) run_cfg(cfg, "test/c3.cfg", debug=True) +@pytest.mark.integration def test_main_sens() -> None: with open("test/sensitivity.cfg", "r") as cfg_file: cfg = hjson.load(cfg_file) run_cfg(cfg, "test/sensitivity.cfg", debug=True) +@pytest.mark.integration def test_create_c1() -> None: with open("test/c1.cfg", "r") as cfg_file: cfg = hjson.load(cfg_file) @@ -42,3 +49,15 @@ def test_create_c1() -> None: exp = Experiment() exp.read_config(cfg.pop("exp_cfg")) C1(**cfg, pmap=exp.pmap) + + +@pytest.mark.integration +def test_create_c3() -> None: + with open("test/c3.cfg", "r") as cfg_file: + cfg = hjson.load(cfg_file) + cfg.pop("optim_type") + cfg.pop("exp_opt_map") + + exp = Experiment() + exp.read_config(cfg.pop("exp_cfg")) + assert isinstance(C3(**cfg, pmap=exp.pmap), C3) From 4f5782ffabb5d76742fd76985569953265204c35 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 19:03:57 +0200 Subject: [PATCH 14/25] test model learning on a small dataset --- test/test_model_learning.py | 55 +++++++++++++++++++++++++++++++++++++ 1 file changed, 55 insertions(+) create mode 100644 test/test_model_learning.py diff --git a/test/test_model_learning.py b/test/test_model_learning.py new file mode 100644 index 00000000..da92ad27 --- /dev/null +++ b/test/test_model_learning.py @@ -0,0 +1,55 @@ +"""Test module for model learning on a small dataset generated from the +blackbox in examples/Simulated_Calibration.ipynb + +PLEASE UPDATE THE DETAILS BELOW IF YOU CHANGE THE DATASET OR THE MODEL + +The dataset is an ORBIT experiment with 20 ORBIT sequences +An individual sequence looks like the following: +['ry90p[0]', 'rx90p[0]', 'rx90p[0]', 'rx90m[0]', 'ry90p[0]', 'ry90p[0]', 'rx90p[0]', +'ry90p[0]', 'rx90p[0]', 'rx90p[0]', 'ry90p[0]', 'rx90m[0]', 'rx90p[0]', 'rx90p[0]', +'ry90p[0]', 'ry90p[0]', 'rx90p[0]', 'ry90p[0]', 'ry90m[0]', 'rx90p[0]', 'rx90p[0]', +'ry90m[0]', 'rx90p[0]', 'rx90p[0]', 'rx90p[0]', 'rx90p[0]'] + +The optimization map is as below: +[['rx90p[0]-d1-gauss-amp', 'ry90p[0]-d1-gauss-amp', 'rx90m[0]-d1-gauss-amp', +'ry90m[0]-d1-gauss-amp'], ['rx90p[0]-d1-gauss-delta', 'ry90p[0]-d1-gauss-delta', +'rx90m[0]-d1-gauss-delta', 'ry90m[0]-d1-gauss-delta'], ['rx90p[0]-d1-gauss-freq_offset', +'ry90p[0]-d1-gauss-freq_offset', 'rx90m[0]-d1-gauss-freq_offset', +'ry90m[0]-d1-gauss-freq_offset'], ['id[0]-d1-carrier-framechange']] + +The blackbox for the dataset has a qubit frequency of 5e9 and anharmonicity of -2.10e8 +We initiate the model with a qubit frequency of 5.0001e9 and anharmonicity of -2.100001e8 +""" + +import hjson +import pytest +import numpy as np + +from c3.optimizers.c3 import C3 +from c3.experiment import Experiment + +OPT_CONFIG_FILE_NAME = "test/c3.cfg" +DESIRED_PARAMS = [-210000000.0, 5000000000.0] +RELATIVE_TOLERANCE = 1e-3 + + +@pytest.mark.integration +@pytest.mark.slow +def test_model_learning() -> None: + with open(OPT_CONFIG_FILE_NAME, "r") as cfg_file: + cfg = hjson.load(cfg_file) + + cfg.pop("optim_type") + + exp = Experiment() + exp.read_config(cfg.pop("exp_cfg")) + exp.pmap.set_opt_map( + [[tuple(par) for par in pset] for pset in cfg.pop("exp_opt_map")] + ) + opt = C3(**cfg, pmap=exp.pmap) + opt.set_exp(exp) + opt.set_created_by(OPT_CONFIG_FILE_NAME) + opt.run() + np.testing.assert_allclose( + opt.current_best_params, DESIRED_PARAMS, rtol=RELATIVE_TOLERANCE + ) From ce9e3b739314d123bceca194921f65033cf70e04 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 19:39:17 +0200 Subject: [PATCH 15/25] remove commented code --- c3/optimizers/c3.py | 1 - 1 file changed, 1 deletion(-) diff --git a/c3/optimizers/c3.py b/c3/optimizers/c3.py index eec87155..2d248403 100755 --- a/c3/optimizers/c3.py +++ b/c3/optimizers/c3.py @@ -136,7 +136,6 @@ def log_setup(self) -> None: ) self.logdir = log_setup(self.__dir_path, run_name) self.logname = "model_learn.log" - # shutil.copy2(self.__real_model_folder, self.logdir) def read_data(self, datafiles: Dict[str, str]) -> None: """ From 47002ded6e8752d5443e125a68863883d087edc5 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Tue, 29 Jun 2021 22:51:54 +0200 Subject: [PATCH 16/25] outline for model learning example --- examples/Simulated_Model_Learning.ipynb | 201 ++++++++++++++++++++++++ 1 file changed, 201 insertions(+) create mode 100644 examples/Simulated_Model_Learning.ipynb diff --git a/examples/Simulated_Model_Learning.ipynb b/examples/Simulated_Model_Learning.ipynb new file mode 100644 index 00000000..a4830783 --- /dev/null +++ b/examples/Simulated_Model_Learning.ipynb @@ -0,0 +1,201 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "50449b25", + "metadata": {}, + "source": [ + "# Model Learning on Dataset from a Simulated Experiment" + ] + }, + { + "cell_type": "markdown", + "id": "747576c7", + "metadata": {}, + "source": [ + "In this notebook, we will use a dataset from a simulated experiment, more specifically, the `Simulated_calibration.ipynb` example notebook and perform Model Learning on a simple 1 qubit model." + ] + }, + { + "cell_type": "markdown", + "id": "06b26abf", + "metadata": {}, + "source": [ + "## The Dataset" + ] + }, + { + "cell_type": "markdown", + "id": "f8e6cf27", + "metadata": {}, + "source": [ + "We will take a look below at the dataset and its properties. To explore more details about how the dataset is generated, please refer to the `Simulated_calibration.ipynb` example notebook." + ] + }, + { + "cell_type": "markdown", + "id": "86255728", + "metadata": {}, + "source": [ + "## The Model for Model Learning" + ] + }, + { + "cell_type": "markdown", + "id": "ec2cefd4", + "metadata": {}, + "source": [ + "An initial model needs to be provided, which we refine by fitting to our calibration data. We do this below. If you want to learn more about what the various components of the model mean, please refer back to the `two_qubits.ipynb` notebook or the documentation." + ] + }, + { + "cell_type": "markdown", + "id": "4cef8f54", + "metadata": {}, + "source": [ + "### Define Constants" + ] + }, + { + "cell_type": "markdown", + "id": "508be327", + "metadata": {}, + "source": [ + "### Model" + ] + }, + { + "cell_type": "markdown", + "id": "1aff6b7d", + "metadata": {}, + "source": [ + "### Generator" + ] + }, + { + "cell_type": "markdown", + "id": "358fbb8d", + "metadata": {}, + "source": [ + "### Gateset" + ] + }, + { + "cell_type": "markdown", + "id": "fed603b9", + "metadata": {}, + "source": [ + "### Experiment" + ] + }, + { + "cell_type": "markdown", + "id": "a9cd504f", + "metadata": {}, + "source": [ + "### Optimizer " + ] + }, + { + "cell_type": "markdown", + "id": "2ac5e080", + "metadata": {}, + "source": [ + "## Model Learning" + ] + }, + { + "cell_type": "markdown", + "id": "ed0c6be0", + "metadata": {}, + "source": [ + "We are now ready to learn from the data and improve our model" + ] + }, + { + "cell_type": "markdown", + "id": "10010c14", + "metadata": {}, + "source": [ + "### Result of Model Learning" + ] + }, + { + "cell_type": "markdown", + "id": "1b259173", + "metadata": {}, + "source": [ + "## Visualisation & Analysis of Results" + ] + }, + { + "cell_type": "markdown", + "id": "eb7f8e59", + "metadata": {}, + "source": [ + "The Model Learning logs provide a useful way to visualise the learning process and also understand what's going wrong (or right). We now process these logs to read some data points and also plot some visualisations of the Model Learning process" + ] + }, + { + "cell_type": "markdown", + "id": "b6b0c19d", + "metadata": {}, + "source": [ + "### Open, Clean-up and Convert Logfiles" + ] + }, + { + "cell_type": "markdown", + "id": "45e9d6da", + "metadata": {}, + "source": [ + "### Summary of Logs" + ] + }, + { + "cell_type": "markdown", + "id": "f4594ff1", + "metadata": {}, + "source": [ + "### Qubit Anharmonicity" + ] + }, + { + "cell_type": "markdown", + "id": "edf93a0f", + "metadata": {}, + "source": [ + "### Qubit Frequency" + ] + }, + { + "cell_type": "markdown", + "id": "bb44d75b", + "metadata": {}, + "source": [ + "### Goal Function" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('c3-qopt': conda)", + "language": "python", + "name": "python388jvsc74a57bd0d5cf14e4d9ab1ea025aa471aed46f344d1515a88cee97f484fbdd896922a10bf" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From fe8644d8634f858b8de6be2a9734eee7eda3ca1a Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 00:07:53 +0200 Subject: [PATCH 17/25] understanding the dataset --- examples/Simulated_Model_Learning.ipynb | 460 ++++++++++++++++++++++-- 1 file changed, 437 insertions(+), 23 deletions(-) diff --git a/examples/Simulated_Model_Learning.ipynb b/examples/Simulated_Model_Learning.ipynb index a4830783..2fa41e27 100644 --- a/examples/Simulated_Model_Learning.ipynb +++ b/examples/Simulated_Model_Learning.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "50449b25", + "id": "51091674", "metadata": {}, "source": [ "# Model Learning on Dataset from a Simulated Experiment" @@ -10,7 +10,7 @@ }, { "cell_type": "markdown", - "id": "747576c7", + "id": "e0e66c40", "metadata": {}, "source": [ "In this notebook, we will use a dataset from a simulated experiment, more specifically, the `Simulated_calibration.ipynb` example notebook and perform Model Learning on a simple 1 qubit model." @@ -18,7 +18,26 @@ }, { "cell_type": "markdown", - "id": "06b26abf", + "id": "f50f4966", + "metadata": {}, + "source": [ + "### Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "66c6d953", + "metadata": {}, + "outputs": [], + "source": [ + "import pickle\n", + "from pprint import pprint" + ] + }, + { + "cell_type": "markdown", + "id": "b2d08fe6", "metadata": {}, "source": [ "## The Dataset" @@ -26,15 +45,410 @@ }, { "cell_type": "markdown", - "id": "f8e6cf27", + "id": "27d569c9", + "metadata": {}, + "source": [ + "We first take a look below at the dataset and its properties. To explore more details about how the dataset is generated, please refer to the `Simulated_calibration.ipynb` example notebook." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c9453dbe", + "metadata": {}, + "outputs": [], + "source": [ + "DATAFILE_PATH = \"data/small_dataset.pkl\"" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "4c2d69e4", + "metadata": {}, + "outputs": [], + "source": [ + "with open(DATAFILE_PATH, \"rb+\") as file:\n", + " data = pickle.load(file)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c45af5a6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['seqs_grouped_by_param_set', 'opt_map'])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.keys()" + ] + }, + { + "cell_type": "markdown", + "id": "1137b148", + "metadata": {}, + "source": [ + "Since this dataset was obtained from an ORBIT ([arXiv:1403.0035](https://arxiv.org/abs/1403.0035)) calibration experiment, we have the `opt_map` which will tell us about the gateset parameters being optimized." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "35087521", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[['rx90p[0]-d1-gauss-amp',\n", + " 'ry90p[0]-d1-gauss-amp',\n", + " 'rx90m[0]-d1-gauss-amp',\n", + " 'ry90m[0]-d1-gauss-amp'],\n", + " ['rx90p[0]-d1-gauss-delta',\n", + " 'ry90p[0]-d1-gauss-delta',\n", + " 'rx90m[0]-d1-gauss-delta',\n", + " 'ry90m[0]-d1-gauss-delta'],\n", + " ['rx90p[0]-d1-gauss-freq_offset',\n", + " 'ry90p[0]-d1-gauss-freq_offset',\n", + " 'rx90m[0]-d1-gauss-freq_offset',\n", + " 'ry90m[0]-d1-gauss-freq_offset'],\n", + " ['id[0]-d1-carrier-framechange']]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['opt_map']" + ] + }, + { + "cell_type": "markdown", + "id": "4ed2c25c", + "metadata": {}, + "source": [ + "This `opt_map` implies the calibration experiment focussed on optimizing \n", + "the amplitude, delta and frequency offset of the gaussian pulse, along \n", + "with the framechange angle" + ] + }, + { + "cell_type": "markdown", + "id": "9d33a17f", + "metadata": {}, + "source": [ + "Now onto the actual measurement data from the experiment runs" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d86b5f37", + "metadata": {}, + "outputs": [], + "source": [ + "seqs_data = data['seqs_grouped_by_param_set']" + ] + }, + { + "cell_type": "markdown", + "id": "d1ebe7a4", + "metadata": {}, + "source": [ + "**How many experiment runs do we have?**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f2bd57de", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "41" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(seqs_data)" + ] + }, + { + "cell_type": "markdown", + "id": "43f87b3f", + "metadata": {}, + "source": [ + "**What does the data from each experiment look like?**\n", + "\n", + "We take a look at the first data point" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "67320417", + "metadata": {}, + "outputs": [], + "source": [ + "example_data_point = seqs_data[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "08ac47c6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['params', 'seqs', 'results', 'results_std', 'shots'])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "example_data_point.keys()" + ] + }, + { + "cell_type": "markdown", + "id": "b76b1288", + "metadata": {}, + "source": [ + "These `keys` are useful in understanding the structure of the dataset. We look at them one by one." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "a733a9ff", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[450.000 mV, -1.000 , -50.500 MHz 2pi, 4.084 rad]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "example_data_point['params']" + ] + }, + { + "cell_type": "markdown", + "id": "39234b83", + "metadata": {}, + "source": [ + "These are the parameters for our parameterised gateset, for the first experiment run. They correspond to the optimization parameters we previously discussed. " + ] + }, + { + "cell_type": "markdown", + "id": "1b2c73d6", + "metadata": {}, + "source": [ + "The `seqs` key stores the sequence of gates that make up this ORBIT calibration experiment. Each ORBIT sequence consists of a set of gates, followed by a measurement operation. This is then repeated for some `n` number of shots (eg, `1000` in this case) and we only store the averaged result along with the standard deviation of these readout shots. Each experiment in turn consists of a number of these ORBIT sequences. The terms *sequence*, *set* and *experiment* are used somewhat loosely here, so we show below what these look like." + ] + }, + { + "cell_type": "markdown", + "id": "df25a0ea", + "metadata": {}, + "source": [ + "**A single ORBIT sequence**" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6026164f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['ry90p[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]',\n", + " 'rx90m[0]',\n", + " 'ry90p[0]',\n", + " 'ry90p[0]',\n", + " 'rx90p[0]',\n", + " 'ry90p[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]',\n", + " 'ry90p[0]',\n", + " 'rx90m[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]',\n", + " 'ry90p[0]',\n", + " 'ry90p[0]',\n", + " 'rx90p[0]',\n", + " 'ry90p[0]',\n", + " 'ry90m[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]',\n", + " 'ry90m[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]',\n", + " 'rx90p[0]']" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "example_data_point['seqs'][0]" + ] + }, + { + "cell_type": "markdown", + "id": "08e9e1a8", + "metadata": {}, + "source": [ + "**Total number of ORBIT sequences in an experiment**" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "8e35a48c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(example_data_point['seqs'])" + ] + }, + { + "cell_type": "markdown", + "id": "cd7866b1", + "metadata": {}, + "source": [ + "**Total number of Measurement results**" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "5161c6a5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(example_data_point['results'])" + ] + }, + { + "cell_type": "markdown", + "id": "7e9cd4aa", + "metadata": {}, + "source": [ + "**The measurement results and the standard deviation look like this**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "71c08bd3", + "metadata": {}, + "outputs": [], + "source": [ + "example_results = [(example_data_point['results'][i], \n", + " example_data_point['results_std'][i]) \n", + " for i in range(len(example_data_point['results']))]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9d7b3413", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[([0.745], [0.013783141876945182]),\n", + " ([0.213], [0.012947239087929134]),\n", + " ([0.137], [0.0108734079294396]),\n", + " ([0.224], [0.013184233007649706]),\n", + " ([0.434], [0.015673034167001616]),\n", + " ([0.105], [0.009694070352540258]),\n", + " ([0.214], [0.012969348480166613]),\n", + " ([0.112], [0.009972762907038352]),\n", + " ([0.318], [0.014726710426975877]),\n", + " ([0.122], [0.010349685985574633]),\n", + " ([0.348], [0.015063067416698366]),\n", + " ([0.122], [0.010349685985574633]),\n", + " ([0.558], [0.01570464899321217]),\n", + " ([0.186], [0.01230463327369004]),\n", + " ([0.096], [0.009315793041926168]),\n", + " ([0.368], [0.015250442616527561]),\n", + " ([0.146], [0.011166198995181842]),\n", + " ([0.121], [0.010313049985334118]),\n", + " ([0.748], [0.013729384545565035]),\n", + " ([0.692], [0.01459917805905524])]\n" + ] + } + ], "source": [ - "We will take a look below at the dataset and its properties. To explore more details about how the dataset is generated, please refer to the `Simulated_calibration.ipynb` example notebook." + "pprint(example_results)" ] }, { "cell_type": "markdown", - "id": "86255728", + "id": "67a9d2c4", "metadata": {}, "source": [ "## The Model for Model Learning" @@ -42,7 +456,7 @@ }, { "cell_type": "markdown", - "id": "ec2cefd4", + "id": "e1860e8d", "metadata": {}, "source": [ "An initial model needs to be provided, which we refine by fitting to our calibration data. We do this below. If you want to learn more about what the various components of the model mean, please refer back to the `two_qubits.ipynb` notebook or the documentation." @@ -50,7 +464,7 @@ }, { "cell_type": "markdown", - "id": "4cef8f54", + "id": "8fb6cbe6", "metadata": {}, "source": [ "### Define Constants" @@ -58,7 +472,7 @@ }, { "cell_type": "markdown", - "id": "508be327", + "id": "975daf19", "metadata": {}, "source": [ "### Model" @@ -66,7 +480,7 @@ }, { "cell_type": "markdown", - "id": "1aff6b7d", + "id": "f3b37c07", "metadata": {}, "source": [ "### Generator" @@ -74,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "358fbb8d", + "id": "63d232a4", "metadata": {}, "source": [ "### Gateset" @@ -82,7 +496,7 @@ }, { "cell_type": "markdown", - "id": "fed603b9", + "id": "1443ef34", "metadata": {}, "source": [ "### Experiment" @@ -90,7 +504,7 @@ }, { "cell_type": "markdown", - "id": "a9cd504f", + "id": "387538d8", "metadata": {}, "source": [ "### Optimizer " @@ -98,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "2ac5e080", + "id": "84ee49dd", "metadata": {}, "source": [ "## Model Learning" @@ -106,7 +520,7 @@ }, { "cell_type": "markdown", - "id": "ed0c6be0", + "id": "ef28b67a", "metadata": {}, "source": [ "We are now ready to learn from the data and improve our model" @@ -114,7 +528,7 @@ }, { "cell_type": "markdown", - "id": "10010c14", + "id": "4459cc37", "metadata": {}, "source": [ "### Result of Model Learning" @@ -122,7 +536,7 @@ }, { "cell_type": "markdown", - "id": "1b259173", + "id": "0b27f088", "metadata": {}, "source": [ "## Visualisation & Analysis of Results" @@ -130,7 +544,7 @@ }, { "cell_type": "markdown", - "id": "eb7f8e59", + "id": "6750db6f", "metadata": {}, "source": [ "The Model Learning logs provide a useful way to visualise the learning process and also understand what's going wrong (or right). We now process these logs to read some data points and also plot some visualisations of the Model Learning process" @@ -138,7 +552,7 @@ }, { "cell_type": "markdown", - "id": "b6b0c19d", + "id": "01c87627", "metadata": {}, "source": [ "### Open, Clean-up and Convert Logfiles" @@ -146,7 +560,7 @@ }, { "cell_type": "markdown", - "id": "45e9d6da", + "id": "44b1c3f1", "metadata": {}, "source": [ "### Summary of Logs" @@ -154,7 +568,7 @@ }, { "cell_type": "markdown", - "id": "f4594ff1", + "id": "418d3294", "metadata": {}, "source": [ "### Qubit Anharmonicity" @@ -162,7 +576,7 @@ }, { "cell_type": "markdown", - "id": "edf93a0f", + "id": "95678c48", "metadata": {}, "source": [ "### Qubit Frequency" @@ -170,7 +584,7 @@ }, { "cell_type": "markdown", - "id": "bb44d75b", + "id": "28f51559", "metadata": {}, "source": [ "### Goal Function" From 4a3b7be5ade6aa8a267735f0dc4fd601cfcf0b66 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 07:19:58 +0200 Subject: [PATCH 18/25] stop logging full exp.pmap for every evaluation --- c3/optimizers/c3.py | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/c3/optimizers/c3.py b/c3/optimizers/c3.py index 2d248403..483ba210 100755 --- a/c3/optimizers/c3.py +++ b/c3/optimizers/c3.py @@ -248,10 +248,7 @@ def _log_one_dataset( m_shots = data_set["shots"][:seqs_pp] sequences = data_set["seqs"][:seqs_pp] with open(self.logdir + self.logname, "a") as logfile: - logfile.write( - f"\n Parameterset {ipar + 1}, #{count} of {len(indeces)}:\n" - f"{str(self.exp.pmap)}\n" - ) + logfile.write(f"\n Parameterset {ipar + 1}, #{count} of {len(indeces)}:\n") logfile.write( "Sequence Simulation Experiment Std Shots" " Diff\n" ) From 70e66b92bcbe1997f4bb5544bfc5f8b7eb55487a Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 08:41:55 +0200 Subject: [PATCH 19/25] code to run model learning --- examples/Simulated_Model_Learning.ipynb | 683 +++++++++++++++++++++--- 1 file changed, 607 insertions(+), 76 deletions(-) diff --git a/examples/Simulated_Model_Learning.ipynb b/examples/Simulated_Model_Learning.ipynb index 2fa41e27..ab0b1323 100644 --- a/examples/Simulated_Model_Learning.ipynb +++ b/examples/Simulated_Model_Learning.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "51091674", + "id": "a8bea0cf", "metadata": {}, "source": [ "# Model Learning on Dataset from a Simulated Experiment" @@ -10,7 +10,7 @@ }, { "cell_type": "markdown", - "id": "e0e66c40", + "id": "2455329b", "metadata": {}, "source": [ "In this notebook, we will use a dataset from a simulated experiment, more specifically, the `Simulated_calibration.ipynb` example notebook and perform Model Learning on a simple 1 qubit model." @@ -18,7 +18,7 @@ }, { "cell_type": "markdown", - "id": "f50f4966", + "id": "08fff53e", "metadata": {}, "source": [ "### Imports" @@ -27,17 +27,40 @@ { "cell_type": "code", "execution_count": 1, - "id": "66c6d953", - "metadata": {}, + "id": "9851436d", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:16.689570Z", + "iopub.status.busy": "2021-06-30T06:29:16.684069Z", + "iopub.status.idle": "2021-06-30T06:29:24.343696Z", + "shell.execute_reply": "2021-06-30T06:29:24.343985Z" + } + }, "outputs": [], "source": [ "import pickle\n", - "from pprint import pprint" + "from pprint import pprint\n", + "import copy\n", + "import numpy as np\n", + "\n", + "from c3.model import Model as Mdl\n", + "from c3.c3objs import Quantity as Qty\n", + "from c3.parametermap import ParameterMap as PMap\n", + "from c3.experiment import Experiment as Exp\n", + "from c3.generator.generator import Generator as Gnr\n", + "import c3.signal.gates as gates\n", + "import c3.libraries.chip as chip\n", + "import c3.generator.devices as devices\n", + "import c3.libraries.hamiltonians as hamiltonians\n", + "import c3.signal.pulse as pulse\n", + "import c3.libraries.envelopes as envelopes\n", + "import c3.libraries.tasks as tasks\n", + "from c3.optimizers.c3 import C3" ] }, { "cell_type": "markdown", - "id": "b2d08fe6", + "id": "0800014b", "metadata": {}, "source": [ "## The Dataset" @@ -45,7 +68,7 @@ }, { "cell_type": "markdown", - "id": "27d569c9", + "id": "2a1b5883", "metadata": {}, "source": [ "We first take a look below at the dataset and its properties. To explore more details about how the dataset is generated, please refer to the `Simulated_calibration.ipynb` example notebook." @@ -54,8 +77,15 @@ { "cell_type": "code", "execution_count": 2, - "id": "c9453dbe", - "metadata": {}, + "id": "ae954a40", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.346337Z", + "iopub.status.busy": "2021-06-30T06:29:24.346012Z", + "iopub.status.idle": "2021-06-30T06:29:24.347420Z", + "shell.execute_reply": "2021-06-30T06:29:24.347670Z" + } + }, "outputs": [], "source": [ "DATAFILE_PATH = \"data/small_dataset.pkl\"" @@ -64,8 +94,15 @@ { "cell_type": "code", "execution_count": 3, - "id": "4c2d69e4", - "metadata": {}, + "id": "ab683669", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.349797Z", + "iopub.status.busy": "2021-06-30T06:29:24.349451Z", + "iopub.status.idle": "2021-06-30T06:29:24.403393Z", + "shell.execute_reply": "2021-06-30T06:29:24.403893Z" + } + }, "outputs": [], "source": [ "with open(DATAFILE_PATH, \"rb+\") as file:\n", @@ -75,8 +112,15 @@ { "cell_type": "code", "execution_count": 4, - "id": "c45af5a6", - "metadata": {}, + "id": "53d22d38", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.414664Z", + "iopub.status.busy": "2021-06-30T06:29:24.414128Z", + "iopub.status.idle": "2021-06-30T06:29:24.416895Z", + "shell.execute_reply": "2021-06-30T06:29:24.417303Z" + } + }, "outputs": [ { "data": { @@ -95,7 +139,7 @@ }, { "cell_type": "markdown", - "id": "1137b148", + "id": "1b032bc3", "metadata": {}, "source": [ "Since this dataset was obtained from an ORBIT ([arXiv:1403.0035](https://arxiv.org/abs/1403.0035)) calibration experiment, we have the `opt_map` which will tell us about the gateset parameters being optimized." @@ -104,8 +148,15 @@ { "cell_type": "code", "execution_count": 5, - "id": "35087521", - "metadata": {}, + "id": "4aeb3532", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.421146Z", + "iopub.status.busy": "2021-06-30T06:29:24.420618Z", + "iopub.status.idle": "2021-06-30T06:29:24.423293Z", + "shell.execute_reply": "2021-06-30T06:29:24.423687Z" + } + }, "outputs": [ { "data": { @@ -131,12 +182,12 @@ } ], "source": [ - "data['opt_map']" + "data[\"opt_map\"]" ] }, { "cell_type": "markdown", - "id": "4ed2c25c", + "id": "6c661187", "metadata": {}, "source": [ "This `opt_map` implies the calibration experiment focussed on optimizing \n", @@ -146,7 +197,7 @@ }, { "cell_type": "markdown", - "id": "9d33a17f", + "id": "11c5e9fc", "metadata": {}, "source": [ "Now onto the actual measurement data from the experiment runs" @@ -155,16 +206,23 @@ { "cell_type": "code", "execution_count": 6, - "id": "d86b5f37", - "metadata": {}, + "id": "0de9eaae", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.426544Z", + "iopub.status.busy": "2021-06-30T06:29:24.426091Z", + "iopub.status.idle": "2021-06-30T06:29:24.428263Z", + "shell.execute_reply": "2021-06-30T06:29:24.427861Z" + } + }, "outputs": [], "source": [ - "seqs_data = data['seqs_grouped_by_param_set']" + "seqs_data = data[\"seqs_grouped_by_param_set\"]" ] }, { "cell_type": "markdown", - "id": "d1ebe7a4", + "id": "5fcc5bb4", "metadata": {}, "source": [ "**How many experiment runs do we have?**" @@ -173,8 +231,15 @@ { "cell_type": "code", "execution_count": 7, - "id": "f2bd57de", - "metadata": {}, + "id": "dfb4448c", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.431169Z", + "iopub.status.busy": "2021-06-30T06:29:24.430725Z", + "iopub.status.idle": "2021-06-30T06:29:24.433094Z", + "shell.execute_reply": "2021-06-30T06:29:24.433444Z" + } + }, "outputs": [ { "data": { @@ -193,7 +258,7 @@ }, { "cell_type": "markdown", - "id": "43f87b3f", + "id": "a6a8e7ff", "metadata": {}, "source": [ "**What does the data from each experiment look like?**\n", @@ -204,8 +269,15 @@ { "cell_type": "code", "execution_count": 8, - "id": "67320417", - "metadata": {}, + "id": "cf05eedc", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.436247Z", + "iopub.status.busy": "2021-06-30T06:29:24.435800Z", + "iopub.status.idle": "2021-06-30T06:29:24.437588Z", + "shell.execute_reply": "2021-06-30T06:29:24.437939Z" + } + }, "outputs": [], "source": [ "example_data_point = seqs_data[0]" @@ -214,8 +286,15 @@ { "cell_type": "code", "execution_count": 9, - "id": "08ac47c6", - "metadata": {}, + "id": "fbde2ada", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.440859Z", + "iopub.status.busy": "2021-06-30T06:29:24.440410Z", + "iopub.status.idle": "2021-06-30T06:29:24.443139Z", + "shell.execute_reply": "2021-06-30T06:29:24.442720Z" + } + }, "outputs": [ { "data": { @@ -234,7 +313,7 @@ }, { "cell_type": "markdown", - "id": "b76b1288", + "id": "f608d73e", "metadata": {}, "source": [ "These `keys` are useful in understanding the structure of the dataset. We look at them one by one." @@ -243,8 +322,15 @@ { "cell_type": "code", "execution_count": 10, - "id": "a733a9ff", - "metadata": {}, + "id": "bd4c0958", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.447311Z", + "iopub.status.busy": "2021-06-30T06:29:24.446850Z", + "iopub.status.idle": "2021-06-30T06:29:24.450577Z", + "shell.execute_reply": "2021-06-30T06:29:24.450890Z" + } + }, "outputs": [ { "data": { @@ -258,12 +344,12 @@ } ], "source": [ - "example_data_point['params']" + "example_data_point[\"params\"]" ] }, { "cell_type": "markdown", - "id": "39234b83", + "id": "3d60d100", "metadata": {}, "source": [ "These are the parameters for our parameterised gateset, for the first experiment run. They correspond to the optimization parameters we previously discussed. " @@ -271,7 +357,7 @@ }, { "cell_type": "markdown", - "id": "1b2c73d6", + "id": "62fe216a", "metadata": {}, "source": [ "The `seqs` key stores the sequence of gates that make up this ORBIT calibration experiment. Each ORBIT sequence consists of a set of gates, followed by a measurement operation. This is then repeated for some `n` number of shots (eg, `1000` in this case) and we only store the averaged result along with the standard deviation of these readout shots. Each experiment in turn consists of a number of these ORBIT sequences. The terms *sequence*, *set* and *experiment* are used somewhat loosely here, so we show below what these look like." @@ -279,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "df25a0ea", + "id": "52f5cf5a", "metadata": {}, "source": [ "**A single ORBIT sequence**" @@ -288,8 +374,15 @@ { "cell_type": "code", "execution_count": 11, - "id": "6026164f", - "metadata": {}, + "id": "33518f2a", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.454002Z", + "iopub.status.busy": "2021-06-30T06:29:24.453650Z", + "iopub.status.idle": "2021-06-30T06:29:24.455626Z", + "shell.execute_reply": "2021-06-30T06:29:24.455901Z" + } + }, "outputs": [ { "data": { @@ -328,12 +421,12 @@ } ], "source": [ - "example_data_point['seqs'][0]" + "example_data_point[\"seqs\"][0]" ] }, { "cell_type": "markdown", - "id": "08e9e1a8", + "id": "b203e581", "metadata": {}, "source": [ "**Total number of ORBIT sequences in an experiment**" @@ -342,8 +435,15 @@ { "cell_type": "code", "execution_count": 12, - "id": "8e35a48c", - "metadata": {}, + "id": "19aa4f6a", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.458262Z", + "iopub.status.busy": "2021-06-30T06:29:24.457903Z", + "iopub.status.idle": "2021-06-30T06:29:24.459781Z", + "shell.execute_reply": "2021-06-30T06:29:24.460029Z" + } + }, "outputs": [ { "data": { @@ -357,12 +457,12 @@ } ], "source": [ - "len(example_data_point['seqs'])" + "len(example_data_point[\"seqs\"])" ] }, { "cell_type": "markdown", - "id": "cd7866b1", + "id": "627ba0d5", "metadata": {}, "source": [ "**Total number of Measurement results**" @@ -371,8 +471,15 @@ { "cell_type": "code", "execution_count": 13, - "id": "5161c6a5", - "metadata": {}, + "id": "41f4e417", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.462194Z", + "iopub.status.busy": "2021-06-30T06:29:24.461850Z", + "iopub.status.idle": "2021-06-30T06:29:24.463711Z", + "shell.execute_reply": "2021-06-30T06:29:24.463958Z" + } + }, "outputs": [ { "data": { @@ -386,12 +493,12 @@ } ], "source": [ - "len(example_data_point['results'])" + "len(example_data_point[\"results\"])" ] }, { "cell_type": "markdown", - "id": "7e9cd4aa", + "id": "147d18d1", "metadata": {}, "source": [ "**The measurement results and the standard deviation look like this**" @@ -400,20 +507,35 @@ { "cell_type": "code", "execution_count": 14, - "id": "71c08bd3", - "metadata": {}, + "id": "73c1bfa6", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.466251Z", + "iopub.status.busy": "2021-06-30T06:29:24.465932Z", + "iopub.status.idle": "2021-06-30T06:29:24.467336Z", + "shell.execute_reply": "2021-06-30T06:29:24.467583Z" + } + }, "outputs": [], "source": [ - "example_results = [(example_data_point['results'][i], \n", - " example_data_point['results_std'][i]) \n", - " for i in range(len(example_data_point['results']))]" + "example_results = [\n", + " (example_data_point[\"results\"][i], example_data_point[\"results_std\"][i])\n", + " for i in range(len(example_data_point[\"results\"]))\n", + "]" ] }, { "cell_type": "code", "execution_count": 15, - "id": "9d7b3413", - "metadata": {}, + "id": "7a3a4a1a", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.470224Z", + "iopub.status.busy": "2021-06-30T06:29:24.469909Z", + "iopub.status.idle": "2021-06-30T06:29:24.473051Z", + "shell.execute_reply": "2021-06-30T06:29:24.472782Z" + } + }, "outputs": [ { "name": "stdout", @@ -448,7 +570,7 @@ }, { "cell_type": "markdown", - "id": "67a9d2c4", + "id": "2b97eead", "metadata": {}, "source": [ "## The Model for Model Learning" @@ -456,7 +578,7 @@ }, { "cell_type": "markdown", - "id": "e1860e8d", + "id": "ea66b0ae", "metadata": {}, "source": [ "An initial model needs to be provided, which we refine by fitting to our calibration data. We do this below. If you want to learn more about what the various components of the model mean, please refer back to the `two_qubits.ipynb` notebook or the documentation." @@ -464,55 +586,375 @@ }, { "cell_type": "markdown", - "id": "8fb6cbe6", + "id": "510d2688", "metadata": {}, "source": [ "### Define Constants" ] }, + { + "cell_type": "code", + "execution_count": 16, + "id": "a3934cca", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.475726Z", + "iopub.status.busy": "2021-06-30T06:29:24.475401Z", + "iopub.status.idle": "2021-06-30T06:29:24.476822Z", + "shell.execute_reply": "2021-06-30T06:29:24.477068Z" + } + }, + "outputs": [], + "source": [ + "lindblad = False\n", + "dressed = True\n", + "qubit_lvls = 3\n", + "freq = 5.001e9\n", + "anhar = -210.001e6\n", + "init_temp = 0\n", + "qubit_temp = 0\n", + "t_final = 7e-9 # Time for single qubit gates\n", + "sim_res = 100e9\n", + "awg_res = 2e9\n", + "sideband = 50e6\n", + "lo_freq = 5e9 + sideband" + ] + }, { "cell_type": "markdown", - "id": "975daf19", + "id": "575498cb", "metadata": {}, "source": [ "### Model" ] }, + { + "cell_type": "code", + "execution_count": 17, + "id": "80f51120", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.480926Z", + "iopub.status.busy": "2021-06-30T06:29:24.480595Z", + "iopub.status.idle": "2021-06-30T06:29:24.488368Z", + "shell.execute_reply": "2021-06-30T06:29:24.488635Z" + } + }, + "outputs": [], + "source": [ + "q1 = chip.Qubit(\n", + " name=\"Q1\",\n", + " desc=\"Qubit 1\",\n", + " freq=Qty(\n", + " value=freq,\n", + " min_val=4.995e9,\n", + " max_val=5.005e9,\n", + " unit=\"Hz 2pi\",\n", + " ),\n", + " anhar=Qty(\n", + " value=anhar,\n", + " min_val=-250e6,\n", + " max_val=-150e6,\n", + " unit=\"Hz 2pi\",\n", + " ),\n", + " hilbert_dim=qubit_lvls,\n", + " temp=Qty(value=qubit_temp, min_val=0.0, max_val=0.12, unit=\"K\"),\n", + ")\n", + "\n", + "drive = chip.Drive(\n", + " name=\"d1\",\n", + " desc=\"Drive 1\",\n", + " comment=\"Drive line 1 on qubit 1\",\n", + " connected=[\"Q1\"],\n", + " hamiltonian_func=hamiltonians.x_drive,\n", + ")\n", + "phys_components = [q1]\n", + "line_components = [drive]\n", + "\n", + "init_ground = tasks.InitialiseGround(\n", + " init_temp=Qty(value=init_temp, min_val=-0.001, max_val=0.22, unit=\"K\")\n", + ")\n", + "task_list = [init_ground]\n", + "model = Mdl(phys_components, line_components, task_list)\n", + "model.set_lindbladian(lindblad)\n", + "model.set_dressed(dressed)" + ] + }, { "cell_type": "markdown", - "id": "f3b37c07", + "id": "fd533dd2", "metadata": {}, "source": [ "### Generator" ] }, + { + "cell_type": "code", + "execution_count": 18, + "id": "5c80c3d8", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.492657Z", + "iopub.status.busy": "2021-06-30T06:29:24.492317Z", + "iopub.status.idle": "2021-06-30T06:29:24.494580Z", + "shell.execute_reply": "2021-06-30T06:29:24.494836Z" + } + }, + "outputs": [], + "source": [ + "generator = Gnr(\n", + " devices={\n", + " \"LO\": devices.LO(name=\"lo\", resolution=sim_res, outputs=1),\n", + " \"AWG\": devices.AWG(name=\"awg\", resolution=awg_res, outputs=1),\n", + " \"DigitalToAnalog\": devices.DigitalToAnalog(\n", + " name=\"dac\", resolution=sim_res, inputs=1, outputs=1\n", + " ),\n", + " \"Response\": devices.Response(\n", + " name=\"resp\",\n", + " rise_time=Qty(value=0.3e-9, min_val=0.05e-9, max_val=0.6e-9, unit=\"s\"),\n", + " resolution=sim_res,\n", + " inputs=1,\n", + " outputs=1,\n", + " ),\n", + " \"Mixer\": devices.Mixer(name=\"mixer\", inputs=2, outputs=1),\n", + " \"VoltsToHertz\": devices.VoltsToHertz(\n", + " name=\"v_to_hz\",\n", + " V_to_Hz=Qty(value=1e9, min_val=0.9e9, max_val=1.1e9, unit=\"Hz/V\"),\n", + " inputs=1,\n", + " outputs=1,\n", + " ),\n", + " },\n", + " chains={\n", + " \"d1\": [\"LO\", \"AWG\", \"DigitalToAnalog\", \"Response\", \"Mixer\", \"VoltsToHertz\"]\n", + " },\n", + ")\n", + "generator.devices[\"AWG\"].enable_drag_2()" + ] + }, { "cell_type": "markdown", - "id": "63d232a4", + "id": "7139e6a1", "metadata": {}, "source": [ "### Gateset" ] }, + { + "cell_type": "code", + "execution_count": 19, + "id": "b5dbbee2", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.501528Z", + "iopub.status.busy": "2021-06-30T06:29:24.501168Z", + "iopub.status.idle": "2021-06-30T06:29:24.511660Z", + "shell.execute_reply": "2021-06-30T06:29:24.511908Z" + } + }, + "outputs": [], + "source": [ + "gauss_params_single = {\n", + " \"amp\": Qty(value=0.45, min_val=0.4, max_val=0.6, unit=\"V\"),\n", + " \"t_final\": Qty(\n", + " value=t_final, min_val=0.5 * t_final, max_val=1.5 * t_final, unit=\"s\"\n", + " ),\n", + " \"sigma\": Qty(value=t_final / 4, min_val=t_final / 8, max_val=t_final / 2, unit=\"s\"),\n", + " \"xy_angle\": Qty(value=0.0, min_val=-0.5 * np.pi, max_val=2.5 * np.pi, unit=\"rad\"),\n", + " \"freq_offset\": Qty(\n", + " value=-sideband - 0.5e6,\n", + " min_val=-60 * 1e6,\n", + " max_val=-40 * 1e6,\n", + " unit=\"Hz 2pi\",\n", + " ),\n", + " \"delta\": Qty(value=-1, min_val=-5, max_val=3, unit=\"\"),\n", + "}\n", + "\n", + "gauss_env_single = pulse.Envelope(\n", + " name=\"gauss\",\n", + " desc=\"Gaussian comp for single-qubit gates\",\n", + " params=gauss_params_single,\n", + " shape=envelopes.gaussian_nonorm,\n", + ")\n", + "nodrive_env = pulse.Envelope(\n", + " name=\"no_drive\",\n", + " params={\n", + " \"t_final\": Qty(\n", + " value=t_final, min_val=0.5 * t_final, max_val=1.5 * t_final, unit=\"s\"\n", + " )\n", + " },\n", + " shape=envelopes.no_drive,\n", + ")\n", + "carrier_parameters = {\n", + " \"freq\": Qty(\n", + " value=lo_freq,\n", + " min_val=4.5e9,\n", + " max_val=6e9,\n", + " unit=\"Hz 2pi\",\n", + " ),\n", + " \"framechange\": Qty(value=0.0, min_val=-np.pi, max_val=3 * np.pi, unit=\"rad\"),\n", + "}\n", + "carr = pulse.Carrier(\n", + " name=\"carrier\",\n", + " desc=\"Frequency of the local oscillator\",\n", + " params=carrier_parameters,\n", + ")\n", + "\n", + "rx90p = gates.Instruction(\n", + " name=\"rx90p\", t_start=0.0, t_end=t_final, channels=[\"d1\"], targets=[0]\n", + ")\n", + "QId = gates.Instruction(\n", + " name=\"id\", t_start=0.0, t_end=t_final, channels=[\"d1\"], targets=[0]\n", + ")\n", + "\n", + "rx90p.add_component(gauss_env_single, \"d1\")\n", + "rx90p.add_component(carr, \"d1\")\n", + "QId.add_component(nodrive_env, \"d1\")\n", + "QId.add_component(copy.deepcopy(carr), \"d1\")\n", + "QId.comps[\"d1\"][\"carrier\"].params[\"framechange\"].set_value(\n", + " (-sideband * t_final) % (2 * np.pi)\n", + ")\n", + "ry90p = copy.deepcopy(rx90p)\n", + "ry90p.name = \"ry90p\"\n", + "rx90m = copy.deepcopy(rx90p)\n", + "rx90m.name = \"rx90m\"\n", + "ry90m = copy.deepcopy(rx90p)\n", + "ry90m.name = \"ry90m\"\n", + "ry90p.comps[\"d1\"][\"gauss\"].params[\"xy_angle\"].set_value(0.5 * np.pi)\n", + "rx90m.comps[\"d1\"][\"gauss\"].params[\"xy_angle\"].set_value(np.pi)\n", + "ry90m.comps[\"d1\"][\"gauss\"].params[\"xy_angle\"].set_value(1.5 * np.pi)" + ] + }, { "cell_type": "markdown", - "id": "1443ef34", + "id": "71868875", "metadata": {}, "source": [ "### Experiment" ] }, + { + "cell_type": "code", + "execution_count": 20, + "id": "9b96538b", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.514280Z", + "iopub.status.busy": "2021-06-30T06:29:24.513964Z", + "iopub.status.idle": "2021-06-30T06:29:24.515429Z", + "shell.execute_reply": "2021-06-30T06:29:24.515676Z" + } + }, + "outputs": [], + "source": [ + "parameter_map = PMap(\n", + " instructions=[QId, rx90p, ry90p, rx90m, ry90m], model=model, generator=generator\n", + ")\n", + "\n", + "exp = Exp(pmap=parameter_map)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "e2bfe810", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.517795Z", + "iopub.status.busy": "2021-06-30T06:29:24.517477Z", + "iopub.status.idle": "2021-06-30T06:29:24.518939Z", + "shell.execute_reply": "2021-06-30T06:29:24.519217Z" + } + }, + "outputs": [], + "source": [ + "exp_opt_map = [[('Q1', 'anhar')], [('Q1', 'freq')]]\n", + "exp.pmap.set_opt_map(exp_opt_map)" + ] + }, { "cell_type": "markdown", - "id": "387538d8", + "id": "ca568704", "metadata": {}, "source": [ - "### Optimizer " + "## Optimizer " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "5290eb5f", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.522171Z", + "iopub.status.busy": "2021-06-30T06:29:24.521841Z", + "iopub.status.idle": "2021-06-30T06:29:24.523305Z", + "shell.execute_reply": "2021-06-30T06:29:24.523566Z" + } + }, + "outputs": [], + "source": [ + "datafiles = {\"orbit\": DATAFILE_PATH} # path to the dataset\n", + "run_name = \"simple_model_learning\" # name of the optimization run\n", + "dir_path = \"ml_logs\" # path to save the learning logs\n", + "algorithm = \"cma_pre_lbfgs\" # algorithm for learning\n", + "# this first does a grad-free CMA-ES and then a gradient based LBFGS\n", + "options = {\n", + " \"cmaes\": {\n", + " \"popsize\": 12,\n", + " \"init_point\": \"True\",\n", + " \"stop_at_convergence\": 10,\n", + " \"ftarget\": 4,\n", + " \"spread\": 0.05,\n", + " \"stop_at_sigma\": 0.01,\n", + " },\n", + " \"lbfgs\": {\"maxfun\": 50, \"disp\": 0},\n", + "} # options for the algorithms\n", + "sampling = \"high_std\" # how data points are chosen from the total dataset\n", + "batch_sizes = {\"orbit\": 2} # how many data points are chosen for learning\n", + "state_labels = {\n", + " \"orbit\": [\n", + " [\n", + " 1,\n", + " ],\n", + " [\n", + " 2,\n", + " ],\n", + " ]\n", + "} # the excited states of the qubit model, in this case it is 3-level" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "becc12bf", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.525945Z", + "iopub.status.busy": "2021-06-30T06:29:24.525624Z", + "iopub.status.idle": "2021-06-30T06:29:24.531653Z", + "shell.execute_reply": "2021-06-30T06:29:24.531905Z" + } + }, + "outputs": [], + "source": [ + "opt = C3(\n", + " datafiles=datafiles,\n", + " run_name=run_name,\n", + " dir_path=dir_path,\n", + " algorithm=algorithm,\n", + " options=options,\n", + " sampling=sampling,\n", + " batch_sizes=batch_sizes,\n", + " state_labels=state_labels,\n", + " pmap=exp.pmap,\n", + ")\n", + "\n", + "opt.set_exp(exp)" ] }, { "cell_type": "markdown", - "id": "84ee49dd", + "id": "00f96908", "metadata": {}, "source": [ "## Model Learning" @@ -520,23 +962,112 @@ }, { "cell_type": "markdown", - "id": "ef28b67a", + "id": "e110d051", "metadata": {}, "source": [ "We are now ready to learn from the data and improve our model" ] }, + { + "cell_type": "code", + "execution_count": 24, + "id": "46b9a536", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:29:24.534091Z", + "iopub.status.busy": "2021-06-30T06:29:24.533766Z", + "iopub.status.idle": "2021-06-30T06:33:52.900803Z", + "shell.execute_reply": "2021-06-30T06:33:52.900453Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_38_14/model_learn.log\n", + "(6_w,12)-aCMA-ES (mu_w=3.7,w_1=40%) in dimension 2 (seed=153257, Wed Jun 30 08:38:14 2021)\n", + "C3:STATUS:Adding initial point to CMA sample.\n", + "Iterat #Fevals function value axis ratio sigma min&max std t[m:s]\n", + " 1 12 3.266356510543100e+00 1.0e+00 4.16e-02 3e-02 4e-02 0:31.5\n", + "termination on ftarget=4\n", + "final/bestever f-value = 3.266357e+00 3.266357e+00\n", + "incumbent solution: [-0.20547393210083909, 0.18227703729749875]\n", + "std deviation: [0.034050131775817796, 0.03883123867134655]\n", + "C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_38_14/confirm.log\n" + ] + } + ], + "source": [ + "opt.run()" + ] + }, { "cell_type": "markdown", - "id": "4459cc37", + "id": "db90f52c", "metadata": {}, "source": [ "### Result of Model Learning" ] }, + { + "cell_type": "code", + "execution_count": 25, + "id": "76ab15b2", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:33:52.903299Z", + "iopub.status.busy": "2021-06-30T06:33:52.902952Z", + "iopub.status.idle": "2021-06-30T06:33:52.904734Z", + "shell.execute_reply": "2021-06-30T06:33:52.904981Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.03157049197895952" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt.current_best_goal" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "f2eed80a", + "metadata": { + "execution": { + "iopub.execute_input": "2021-06-30T06:33:52.907388Z", + "iopub.status.busy": "2021-06-30T06:33:52.907044Z", + "iopub.status.idle": "2021-06-30T06:33:52.908879Z", + "shell.execute_reply": "2021-06-30T06:33:52.909149Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Q1-anhar : -210.057 MHz 2pi \n", + "Q1-freq : 5.000 GHz 2pi \n", + "\n" + ] + } + ], + "source": [ + "print(opt.pmap.str_parameters(opt.pmap.opt_map))" + ] + }, { "cell_type": "markdown", - "id": "0b27f088", + "id": "b91936fa", "metadata": {}, "source": [ "## Visualisation & Analysis of Results" @@ -544,7 +1075,7 @@ }, { "cell_type": "markdown", - "id": "6750db6f", + "id": "a59bc3e6", "metadata": {}, "source": [ "The Model Learning logs provide a useful way to visualise the learning process and also understand what's going wrong (or right). We now process these logs to read some data points and also plot some visualisations of the Model Learning process" @@ -552,7 +1083,7 @@ }, { "cell_type": "markdown", - "id": "01c87627", + "id": "068136b0", "metadata": {}, "source": [ "### Open, Clean-up and Convert Logfiles" @@ -560,7 +1091,7 @@ }, { "cell_type": "markdown", - "id": "44b1c3f1", + "id": "4f71d92a", "metadata": {}, "source": [ "### Summary of Logs" @@ -568,7 +1099,7 @@ }, { "cell_type": "markdown", - "id": "418d3294", + "id": "5c86c802", "metadata": {}, "source": [ "### Qubit Anharmonicity" @@ -576,7 +1107,7 @@ }, { "cell_type": "markdown", - "id": "95678c48", + "id": "dde3ede6", "metadata": {}, "source": [ "### Qubit Frequency" @@ -584,7 +1115,7 @@ }, { "cell_type": "markdown", - "id": "28f51559", + "id": "0effdf1e", "metadata": {}, "source": [ "### Goal Function" From dff091f27a3a394bab2226a768987afa304ec9ca Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 09:05:20 +0200 Subject: [PATCH 20/25] process, analyse, visualise model learning logs --- examples/Simulated_Model_Learning.ipynb | 435 +++++++++++++++++++++++- 1 file changed, 427 insertions(+), 8 deletions(-) diff --git a/examples/Simulated_Model_Learning.ipynb b/examples/Simulated_Model_Learning.ipynb index ab0b1323..27a1abc7 100644 --- a/examples/Simulated_Model_Learning.ipynb +++ b/examples/Simulated_Model_Learning.ipynb @@ -42,6 +42,9 @@ "from pprint import pprint\n", "import copy\n", "import numpy as np\n", + "import os\n", + "import ast\n", + "import pandas as pd\n", "\n", "from c3.model import Model as Mdl\n", "from c3.c3objs import Quantity as Qty\n", @@ -985,16 +988,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_38_14/model_learn.log\n", - "(6_w,12)-aCMA-ES (mu_w=3.7,w_1=40%) in dimension 2 (seed=153257, Wed Jun 30 08:38:14 2021)\n", + "C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_59_07/model_learn.log\n", + "(6_w,12)-aCMA-ES (mu_w=3.7,w_1=40%) in dimension 2 (seed=125441, Wed Jun 30 08:59:07 2021)\n", "C3:STATUS:Adding initial point to CMA sample.\n", "Iterat #Fevals function value axis ratio sigma min&max std t[m:s]\n", - " 1 12 3.266356510543100e+00 1.0e+00 4.16e-02 3e-02 4e-02 0:31.5\n", + " 1 12 3.767977884544180e+00 1.0e+00 4.89e-02 4e-02 5e-02 0:31.1\n", "termination on ftarget=4\n", - "final/bestever f-value = 3.266357e+00 3.266357e+00\n", - "incumbent solution: [-0.20547393210083909, 0.18227703729749875]\n", - "std deviation: [0.034050131775817796, 0.03883123867134655]\n", - "C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_38_14/confirm.log\n" + "final/bestever f-value = 3.767978e+00 3.767978e+00\n", + "incumbent solution: [-0.22224933524057258, 0.17615005514516885]\n", + "std deviation: [0.0428319357676611, 0.04699011947850928]\n", + "C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_59_07/confirm.log\n" ] } ], @@ -1026,7 +1029,7 @@ { "data": { "text/plain": [ - "-0.03157049197895952" + "-0.031570491979011794" ] }, "execution_count": 25, @@ -1089,6 +1092,76 @@ "### Open, Clean-up and Convert Logfiles" ] }, + { + "cell_type": "code", + "execution_count": 27, + "id": "f6ae54e3", + "metadata": {}, + "outputs": [], + "source": [ + "LOGDIR = opt.logdir" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "f316e0db", + "metadata": {}, + "outputs": [], + "source": [ + "logfile = os.path.join(LOGDIR, \"model_learn.log\")\n", + "with open(logfile, \"r\") as f:\n", + " log = f.readlines()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "a97c195f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['Q1-anhar', 'Q1-freq']\n" + ] + } + ], + "source": [ + "params_names = [\n", + " item for sublist in (ast.literal_eval(log[3].strip(\"\\n\"))) for item in sublist\n", + "]\n", + "print(params_names)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "cafba7e8", + "metadata": {}, + "outputs": [], + "source": [ + "data_list_dict = list()\n", + "for line in log[9:]:\n", + " if line[0] == \"{\":\n", + " temp_dict = ast.literal_eval(line.strip(\"\\n\"))\n", + " for index, param_name in enumerate(params_names):\n", + " temp_dict[param_name] = temp_dict[\"params\"][index]\n", + " temp_dict.pop(\"params\")\n", + " data_list_dict.append(temp_dict)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "636a8fe9", + "metadata": {}, + "outputs": [], + "source": [ + "data_df = pd.DataFrame(data_list_dict)" + ] + }, { "cell_type": "markdown", "id": "4f71d92a", @@ -1097,6 +1170,227 @@ "### Summary of Logs" ] }, + { + "cell_type": "code", + "execution_count": 32, + "id": "5d270639", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

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    goalQ1-anharQ1-freq
    count24.0000002.400000e+012.400000e+01
    mean6.846330-2.084322e+085.000695e+09
    std7.9750919.620771e+064.833397e+05
    min-0.031570-2.141120e+084.999516e+09
    25%1.771696-2.113225e+085.000466e+09
    50%5.289741-2.100573e+085.000790e+09
    75%9.288638-2.092798e+085.001038e+09
    max37.919470-1.639775e+085.001476e+09
    \n", + "
    " + ], + "text/plain": [ + " goal Q1-anhar Q1-freq\n", + "count 24.000000 2.400000e+01 2.400000e+01\n", + "mean 6.846330 -2.084322e+08 5.000695e+09\n", + "std 7.975091 9.620771e+06 4.833397e+05\n", + "min -0.031570 -2.141120e+08 4.999516e+09\n", + "25% 1.771696 -2.113225e+08 5.000466e+09\n", + "50% 5.289741 -2.100573e+08 5.000790e+09\n", + "75% 9.288638 -2.092798e+08 5.001038e+09\n", + "max 37.919470 -1.639775e+08 5.001476e+09" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_df.describe()" + ] + }, + { + "cell_type": "markdown", + "id": "017f512a", + "metadata": {}, + "source": [ + "**Best Point**" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "73f5560c", + "metadata": {}, + "outputs": [], + "source": [ + "best_point_file = os.path.join(LOGDIR, 'best_point_model_learn.log')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "9a0a43ff", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'Q1-anhar': -210057285.60876995, 'Q1-freq': 5000081146.481342, 'goal': -0.031570491979011794}\n" + ] + } + ], + "source": [ + "with open(best_point_file, \"r\") as f:\n", + " best_point = f.read()\n", + " best_point_log_dict = ast.literal_eval(best_point)\n", + "\n", + "best_point_dict = dict(zip(params_names, best_point_log_dict[\"optim_status\"][\"params\"]))\n", + "best_point_dict[\"goal\"] = best_point_log_dict[\"optim_status\"][\"goal\"]\n", + "print(best_point_dict)" + ] + }, + { + "cell_type": "markdown", + "id": "11aaf6c8", + "metadata": {}, + "source": [ + "### Plotting" + ] + }, + { + "cell_type": "markdown", + "id": "ebac7ea1", + "metadata": {}, + "source": [ + "We use `matplotlib` to produce the plots below. Please make sure you have the same installed in your python environment." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "44d9fa93", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[33mWARNING: You are using pip version 21.1.2; however, version 21.1.3 is available.\r\n", + "You should consider upgrading via the '/home/users/anurag/.conda/envs/c3-qopt/bin/python -m pip install --upgrade pip' command.\u001b[0m\r\n" + ] + } + ], + "source": [ + "!pip install -q matplotlib" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "c5987df2", + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib.ticker import MaxNLocator\n", + "from matplotlib import rcParams\n", + "from matplotlib import cycler\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "e590a8b9", + "metadata": {}, + "outputs": [], + "source": [ + "rcParams[\"axes.grid\"] = True\n", + "rcParams[\"grid.linestyle\"] = \"--\"\n", + "\n", + "# enable usetex by setting it to True if LaTeX is installed\n", + "rcParams[\"text.usetex\"] = False\n", + "rcParams[\"font.size\"] = 16\n", + "rcParams[\"font.family\"] = \"serif\"" + ] + }, + { + "cell_type": "markdown", + "id": "71046faf", + "metadata": {}, + "source": [ + "**In the plots below, the blue line shows the progress of the parameter optimization while the black and the red lines indicate the converged and true value respectively**" + ] + }, { "cell_type": "markdown", "id": "5c86c802", @@ -1105,6 +1399,48 @@ "### Qubit Anharmonicity" ] }, + { + "cell_type": "code", + "execution_count": 38, + "id": "e6c9806f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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fseY+yfFFeRCX8uA/2T3cayqONPJemtfmXZkQl/IQPqFs3oG/AjuNMdMOc92rgaestSsKW9LwZRd9iIDyIIdSHvynPTMl5ojTZqrKaOvO37QZZUJcykP4BKp5N8ZcYIx5DLg1c9HnjDGPGWOuHHDTPcABIHaYh7mWAI26A/0rvEVAeZBDKQ/+E4kdo3mvLKOrN0FfIpWX51cmxKU8hE+gtoq01t4PnDGI2735KNddmMuaREREXMec8545ZTUS7WNczaiC1SUi4RCokffjVXNzs9cliI8oD+JSHvwnkpk2U3uUOe+Qv1NWlQlxKQ/ho+Y9ALZt2+Z1CeIjyoO4lAf/icT6KCspYlTp4T9iGzKnrLbm6ZRVZUJcykP4qHkPgOwpZiKgPMihlAf/aY/GqasoxRhz2OvrKg9Om8kHZUJcykP4qHkXERHJoUg0fsTFqgANmTnvrXncLlJEwkvNewDMnTvX6xLER5QHcSkP/tMeix9xsSoc3IUmkqc578qEuJSH8FHzHgDJZNLrEsRHlAdxKQ/+E4nFj3hAE8Co0mIqy4rzNuddmRCX8hA+at4DYNOmTV6XID6iPIhLefCf9mjfUafNQHqv93ydsqpMiEt5CB817yIiIjkUiaUXrB5NfVUpbXkaeReRcFPzHgCTJ0/2ugTxEeVBXMqDv/QlUkT7koMaeW/N05x3ZUJcykP4qHkPgClTpnhdgviI8iAu5cFfsqer1lYeecEqpJv3fG0VqUyIS3kIHzXvAbBixQqvSxAfUR7EpTz4S3ss3ZAf6XTVrPrK0rwtWFUmxKU8hI+adxERkRzJbv947DnvZXT2JIgnU4UoS0RCRM17AFRXV3tdgviI8iAu5cFf+pv3Y8x5zx7UlI+93pUJcSkP4aPmPQCampq8LkF8RHkQl/LgL9k570c7pAmgrjLbvOd+6owyIS7lIXzUvAfA8uXLvS5BfER5EJfy4C+R7ILVY0ybacg07/mY965MiEt5CB817wHQ29vrdQniI8qDuJQHf2mP9mEMjB5VctTbZafVtOVh2owyIS7lIXzUvIuIiORIJBantqKUoiJz1Ntl57zn65RVEQkvNe8BsGjRIq9LEB9RHsSlPPhLJHrs01Uhvc875Kd5VybEpTyEj5r3ANi8ebPXJYiPKA/iUh78pT0WP+YBTQAVZcWMKi2iLQ9z3pUJcSkP4aPmPQD27dvndQniI8qDuJQHf8lOmxmM+sqyvMx5VybEpTyEj5p3ERGRHGmP9g1q2gxkmvc8nbIqIuGl5j0A5s+f73UJ4iPKg7iUB3+JxOLHPKApq76qNC9z3pUJcSkP4aPmPQC0zZO4lAdxKQ/+kUpZ2mODW7AK+Zs2o0yIS3kIHzXvAbBlyxavSxAfUR7EpTz4R2dvAmuhZkjNe+5H3pUJcSkP4aPmXUREJAfaM6PodYPYbQagvqqM9licZMrmsywRCRk17wEwdepUr0sQH1EexKU8+Ecklh5FH/y0mVKsTW8vmUvKhLiUh/BR8x4A48eP97oE8RHlQVzKg39E+kfeB9e8Z09Zbc3xjjPKhLiUh/BR8x4AK1eu9LoE8RHlQVzKg39kR9AH27xnp9dEcjzvXZkQl/IQPmreRUREciCSad4Hu2C1oTI/I+8iEm5q3gOgpqbG6xLER5QHcSkP/tGeGUEf7Amr2RH6SI63i1QmxKU8hI+a9wBobGz0ugTxEeVBXMqDf0SicSrLiikvKR7U7fvnvOd42owyIS7lIXzUvAfAsmXLvC5BfER5EJfy4B+RIRzQBFBZVkxZcVHO93pXJsSlPISPmvcASCQSXpcgPqI8iEt58I/2WJzaQe7xDmCMob6qlLYcz3lXJsSlPISPmncREZEcaI/Gqa0oGdJ96ivLaO3O7Zx3EQk3Ne8BcOGFF3pdgviI8iAu5cE/IrE+6ioGP/IO6eY911tFKhPiUh7CR817AKxbt87rEsRHlAdxKQ/+EYnGB73He1Z9VWnOF6wqE+JSHsJHzXsAHDhwwOsSxEeUB3EpD/4RicWpHWrzXlmW860ilQlxKQ/ho+ZdRERkhHriSfoSqUHv8Z6VnTaTStk8VSYiYaPmPQAWLFjgdQniI8qDuJQHf8iOng95zntVGSkLHT25G31XJsSlPISPmvcA6Ozs9LoE8RHlQVzKgz9EYul560Od895Qlb59aw63i1QmxKU8hI+a9wDYunWr1yWIjygP4lIe/OHgyPvQmve6zL7wbTmc965MiEt5CB817yIiIiPUHks330NdsNqQbd5zfFCTiISXmvcAmDZtmtcliI8oD+JSHvyhPTNyPpwFqwBtOdwuUpkQl/IQPmreA6ChocHrEsRHlAdxKQ/+cHDO+1AXrKab/Vw278qEuJSH8FHzHgCrVq3yugTxEeVBXMqDP0SicUqKDFVlxUO6X3V5CSVFJqdz3pUJcSkP4aPmXUREZIQisfTpqsaYId3PGEN9VZnmvIvIoKl5D4D6+nqvSxAfUR7EpTz4Q3ssPuT57ln1laU5nTajTIhLeQgfNe8BoAMWxKU8iEt58If26Eia9zLaunVIk+SH8hA+at4DYMmSJV6XID6iPIhLefCHSKxvyItVs+ory3I68q5MiEt5CB817wFgrfW6BPER5UFcyoM/RKLxIR/QlFVfldvmXZkQl/IQPmreA2CoC6Ak3JQHcSkP/tAejQ/5gKas9Jz3eM6aLGVCXMpD+Kh5D4CLLrrI6xLER5QHcSkP3kskU3T2JoY9572hqoxkytLRk8hJPcqEuJSH8FHzHgCrV6/2ugTxEeVBXMqD97JN93CnzWTnykdyNHVGmRCX8hA+at4DoK2tzesSxEeUB3EpD97LNt3DXbDakDlltTVHe70rE+JSHsJHzbuIiMgIRGLpbR6HO+f94Mh77raLFJHwUvMeAI2NjV6XID6iPIhLefBee6bpHu60mYZM856rkXdlQlzKQ/ioeQ+A1tZWr0sQH1EexKU8eK89O/I+gkOagJxtF6lMiEt5CB817wGwfft2r0sQH1EexKU8eG+kc95HjyqhuMjkrHlXJsSlPISPmncREZERyM55rxlVMqz7FxUZ6ipKae3WnHcROTY17wEwY8YMr0sQH1EexKU8eC8SjTN6VAklxcP/SK2vKsvZVpHKhLiUh/BR8x4Ao0eP9roE8RHlQVzKg/c6YnHqhrnTTFZ9ZWnOFqwqE+JSHsJHzXsA6IAFcSkP4lIevBeJxYe9WDWrvrIsZ1tFKhPiUh7CR827iIjICESifdRVDG+xalZ9ZRmtOZo2IyLhpuY9AMaMGeN1CeIjyoO4lAfvRWLxYR/QlJWd826tHXE9yoS4lIfwUfMeAPPmzfO6BPER5UFcyoP32qPxYR/QlNVQVUo8aenqTYy4HmVCXMpD+ASueTfGFBljbjDG9BpjrvG6nkJYunSp1yWIjygP4lIevGWtpT0Hc96ze8TnYt67MiEu5SF8AtW8G2NOBO4DrgKGPMHQGPM6Y8zDxpjHjTHrjTF/N8bo3GARERmW7r4kiZQd8W4zDZnmPVc7zohIeAWqeQeuB34KfHCodzTGXAH8BrjVWnsacDrQBvzbGDM1p1XmWEnJ8A7+kHBSHsSlPHir/3TVkS5YrUo3/7k4ZVWZEJfyED6Ba96ttb8Y5n1fB3RYa38CYK1NAN8E6oBLc1NefixatMjrEsRHlAdxKQ/eyk5zGfGC1czIey6ad2VCXMpD+ASqec803MOVAIqMMca5LPvjaPEIHjfvVq1a5XUJ4iPKg7iUB2+1x9LN+0gXrPY3790jn/OuTIhLeQifQDXvI/QtIAV8IrPotQr4JLAH+L2nlR1DR0eH1yWIjygP4lIevJVt3kc68l5TUUqRyc3IuzIhLuUhfI6biVDW2pXGmEuA20jPna8AHgTOsdY+e7j7GGOuA64DmDRpEi0tLQDMmDGD0aNH959aNmbMGObNm9e/orukpIRFixaxatWq/m+apqYm9u7dy44dOwCYOXMm5eXlrF27FoBx48Yxa9Ysli1bBkB5eTnNzc2sXLmSrq4uWlpaWLhwITt37mTXrl0AzJ49m+LiYtavXw/AhAkTmD59OsuXLwegoqKChQsXsmLFCmKxGADNzc1s27aNPXv2ADB37lySySSbNm0CYPLkyUyZMoUVK1YAUF1dTVNTE8uXL6e3txdI/wpu8+bN7Nu3D4D58+fT29vLli1bAJg6dSrjx49n5cqVANTU1NDY2MiyZctIJNK/PLnwwgtZt24dBw4cAGDBggV0dnaydetWAKZNm0ZDQ0P/iEF9fT0LFixgyZIlWGsxxnDRRRexevVq2traAGhsbKS1tZXt27d79joBeX+durq62LJli14nn79OUJjvp66uLlKplF4nj16nhx5L1xHZ9wxd1UUj+n6qLi9mb6S7/7NmuK9TIpHofwy9Tnrfi0aj/XnQ6+Tf12ng99PRmFwcCDEcxpiLgXsHcdMl1trFA+67GPgP8BZr7W2DfL5XAb8E3kO6gS8Fvgq8GLjUWrvtaPdvamqy2RAVWldXF9XV1Z48t/iP8iAu5cFbP2x5gq/dtYmNn38Jo0pHNgPz+d9sYc6EGn7w+pFtgqZMiEt5CCZjzCPW2qbDXeflyPsDwJxB3C6ao+f7IfCAtfZnmb/3GmM+DFxNekrN5Tl6npzbu3evvvGkn/IgLuXBW+3ROOUlRSNu3CE97z0X02aUCXEpD+Hj2Zx3a23UWrtxEH+eHulzGWPGA+OALQNqSADbgHNG+hz5lP3ViwgoD3Io5cFbuTigKau+siwn+7wrE+JSHsInlAtWjTFlxpgxzkXtQB9w4oDbGWAqcKCA5YmISEhEovERH9CUVV9ZmpMTVkUk3ELZvAN/BXYaY6YBWGt7gJuBFxtj3D3dPwFMBH5Q8AqHYObMmV6XID6iPIhLefBWJNY34gOashqqymiN9jHStWjKhLiUh/AJVPNujLnAGPMYcGvmos8ZYx4zxlw54KZ7SI+mx5zLPgi8D/iCMWatMWYD6cOZXpU9uMmvysvLvS5BfER5EJfy4K1IND7ibSKz6irL6EukiMWTI3ocZUJcykP4BKp5t9beb609w1p7irXWWGtPzPz9jgG3e7O1doq1dq9zWcJa+0NrbaO1dr61do619nxr7Z2F/z8Zmuz2QiKgPMihlAdvtcfiIz6gKauhKv04I533rkyIS3kIn0A17yIiIn6SywWrdZlTVjXvXUSORs17AIwbN87rEsRHlAdxKQ/e6U0kifYlc7ZgtaEq3byPdORdmRCX8hA+at4DYNasWV6XID6iPIhLefBOeyw9Ql5bmZsFq/WZHwJGute7MiEu5SF81LwHQPYIXRFQHuRQyoN32jPTW3I1570+80NA2whH3pUJcSkP4aPmXUREZBgimZH3XE2byc6db9WcdxE5CjXvAaBtnsSlPIhLefBOduQ9VwtWS4qLqK0oJTLCaTPKhLiUh/BR8x4Azc3NXpcgPqI8iEt58E7/yHuODmmC9Lz3kS5YVSbEpTyEj5r3AFi5cqXXJYiPKA/iUh68kx0hz9UhTQD1VWUj3ipSmRCX8hA+at4DoKury+sSxEeUB3EpD95pj8UpMjC6vCRnj1lfWTbikXdlQlzKQ/ioeRcRERmG9licmopSiopMzh6zvrJsxHPeRSTc1LwHwMKFC70uQXxEeRCX8uCdSDSes20isxqqSmkdYfOuTIhLeQgfNe8BsHPnTq9LEB9RHsSlPHgnEovn7ICmrLrKMnriKWJ9yWE/hjIhLuUhfNS8B8CuXbu8LkF8RHkQl/LgnfZoXx5G3jMHNY1g9F2ZEJfyED5q3kVERIYhEovn7ICmrPrM442keReRcFPzHgCzZ8/2ugTxEeVBXMqDd9pj8Zwd0JRVn5mG09Y9/O0ilQlxKQ/ho+Y9AIqLi70uQXxEeRCX8uCNVMrSHsv9gtX6HEybUSbEpTyEj5r3AFi/fr3XJYiPKA/iUh680dmTwFpyvmC1f+R9BM27MiEu5SF81LyLiIgMUSSWbq5zPfKenUM/kmkzIhJuat4DYMKECV6XID6iPIhLefBGJJpurnO9YLW0uIjRo0pGNPKuTIhLeQgfNe8BMH36dK9LEB9RHsSlPHijPZZu3nO9YBXSU2dG0rwrE+JSHsJHzXsALF++3OsSxEeUB3EpD96IxPIz8g7pRaut3cNv3pUJcSkP4aPmXUREZIjaMyPjtRW5XbAK6b3es9NyREQGUvMeABUVFV6XID6iPIhLefBGtrnOx7SZhsqRjbwrE+JSHsJHzXsALFy40OsSxEeUB3EpD95oj8WpLCumrCT3H6N1lWVERjDnXZkQl/IQPmreA2DFihVelyA+ojyIS3nwRiQPBzRlNVSV0t2XpDeRHNb9lQlxKQ/ho+Y9AGKxmNcliI8oD+JSHrwRicZzfkBTVl3mcYc7712ZEJfyED5q3kVERIaoPdaXx5H3dPM+knnvIhJeQ27ejTGnZ/7kZ8hBnqO5udnrEsRHlAdxKQ/eiETjedkmEpxTVoc5712ZEJfyED7DGXl/DPg5MDa3pciRbNu2zesSxEeUB3EpD95oj8XzstMMHBx5b+se3rQZZUJcykP4DKd53wacba19JtfFyOHt2bPH6xLER5QHcSkPhWetJRKLU5unkff6zJz34Y68KxPiUh7CZzjN+5NHu58x5vPDL0dERMTfeuIp+hIp6vJwQBM402Y0511EDmM4zfvHgB8ZYxqNMZWHuf6lI6xJBpg7d67XJYiPKA/iUh4KLxJLN9X5mvNeXlJMVVkxrcMceVcmxKU8hE/JMO6zErDAWwGMMTktSJ4rmRzeXr8STsqDuJSHwstu4Ziv3WYA6qvKhr1VpDIhLuUhfIbTvO8FfnyE6wxw3fDLkcPZtGkTEydO9LoM8QnlQVzKQ+G1x9JNdb4WrEJ63vtwt4pUJsSlPITPcJr3Vdbazx7pSmPMKSOoR0RExNeyI+L5WrAK2ZF3zXkXkeca8px3a+2x5rRfM7xS5EgmT57sdQniI8qDuJSHwmvvn/Oev+NOGipLhz3nXZkQl/IQPvk4YfWhPDzmcW3KlClelyA+ojyIS3kovELMea+rLCMyzH3elQlxKQ/hM6zmPbPTzA+MMf80xtzn/gE0bSbHVqxY4XUJ4iPKg7iUh8Jrj8UpKTJUlhXn7Tkaqsro7E3Ql0gN+b7KhLiUh/AZcvNujLkEuB9oBBaRXqRqgInAYmBjDusTERHxlUgsTl1laV53W6vPzKfPbkspIpI1nAWr/w94gbX2QWPMo9ba52WvMMa8Gjg3Z9UJANXV1V6XID6iPIhLeSi89mg8rzvNQHrBKkBbd5xxo0cN6b7KhLiUh/AZzrSZCmvtg5n/PmTYwVr7e+DMEVclh2hqavK6BPER5UFcykPhRWJ9eV2sCumtIgHahrFoVZkQl/IQPsNp3t3d/hPGmP7NQ40xdcCpIy1KDrV8+XKvSxAfUR7EpTwUXiQaz+tiVXCa92Hs9a5MiEt5CJ/hNO+7jDGfM8aUA0uAe4wx/2OM+R+gBVifywIFent7vS5BfER5EJfyUHjtsUJMm0k/ftswTllVJsSlPITPcOa8fwt4LXAC8EWgGbgpc91W4KrclCYiIuI/7dF4Xg9ogpFNmxGRcBty826tbSE9wg6AMeZ80ttDlgMbrbWJXBUnaYsWLfK6BPER5UFcykNhxZMpOnsT1FXkd877qNJiKkqLhzVtRpkQl/IQPiM+pMmmbbHWrrXWJowx781FYXLQ5s2bvS5BfER5EJfyUFgdscwBTXkeeYf0Xu/DOWVVmRCX8hA+wz2kqcgYc4ox5nxjzIXuH+D9Oa7xuLdv3z6vSxAfUR7EpTwUVqSAzXtdZWn/aa5DoUyIS3kInyFPmzHGXAD8Aph6uKsBO9KiRERE/Kg907zX5HnBKmRG3ocxbUZEwm04C1Z/ACwD/gi0Au7ZzQa4JQd1iWP+/PlelyA+ojyIS3korPbMSHi+t4oEqKssY0drdMj3UybEpTyEz3Ca91HW2jcc6UpjzOdGUI8chrZ5EpfyIC7lobAisfRIeL4PaQJoqCwd1si7MiEu5SF8hjPnfUNmj/cj2TPcYuTwtmzZ4nUJ4iPKg7iUh8KKFHjkvaMnQSKZOvaNHcqEuJSH8DnmyLsx5sQBF30H+D9jzC+BLcDA3+ndBOh3NCIiEjrZ5r1Qc94hvUh2bPXRxsxE5HgymGkz23nuIlQDXJnzauSwpk493NpgOV4pD+JSHgqrPRZn9KgSiotM3p8ru6NNJNo3pOZdmRCX8hA+g2nedwD/b5CPZ4DPDLsaOazx48d7XYL4iPIgLuWhsNpj8YJsEwkHR95bu4e2XaQyIS7lIXwG07zfY63938E+oDFm7gjqkcNYuXIlixcv9roM8QnlQVzKQ2FFon15P101qz6zKLZtiAc1KRPiUh7C55gLVq21bx/iY35/mLWIiIj4WqSAI+/1mZH3Nu31LiKOYZ2wegx/ysNjHtdqamq8LkF8RHkQl/JQWO2xeEEWqwLUZ35IaB3iyLsyIS7lIXyGc8JqDXADsBgYDxQPuMmkkZclrsbGRq9LEB9RHsSlPBRWezRekG0iASpKiykvKerf4WawlAlxKQ/hM5yR91uBdwJtwAPAEufPUqArZ9UJAMuWLfO6BPER5UFcykPhWGsLOm3GGEN9ZdmQD2pSJsSlPITPcE5YPR+YZ63de7grjTG/H1lJMlAikfC6BPER5UFcykPhdPUmSKZswRasQnree2SI02aUCXEpD+EznJH3J47UuANYa189gnpERER8KTt9pbZA02YAGqpKhzzyLiLhNpzm/afGmHcaYw57QoUxZvkIa5IBLrzwQq9LEB9RHsSlPBROeyzTvBdo2gxAXWXZkOe8KxPiUh7CZzjN+1uATwN7jTEPGmPuc/8A83Jboqxbt87rEsRHlAdxKQ+Fk23eC7VgFaChsmzIu80oE+JSHsJnOHPem4CVzt/zf0b0ce7AgQNelyA+ojyIS3konOwIeF1lAee8V5bSHouTTFmKiwb3catMiEt5CJ/hNO9PWGufd6QrjTGPjqAeERERX4rE0iPghdptBtILVq1Nj/o3VBXuhwYR8a/hTJu59BjXNw+nkMEyxhQZY24wxvQaY67J53P5xYIFC7wuQXxEeRCX8lA4XixYrc+M8rcNYeqMMiEu5SF8hty8W2t3H+MmPx5mLcdkjDkRuA+4ChjyEIQx5lpjzBpjzEZjzFPGmJ8YY+pzXmiOdXZ2el2C+IjyIC7loXA6YnHKS4oYVTrwbML8qc+MtrcNYccZZUJcykP4DGfaDMaYKtIj8DOA8gFXv2ikRR3F9cBPgR3Af4ZyR2PMjcD/Ay621t5vjKkF7gb+YYxZZK1N5rzaHNm6dSsnnnii12WITygP4lIeCicSLdwBTVn1medrG8KOM8qEuJSH8Bly826MmQ38C5gMWJ67YNXmoK4jud5amzDGLB7KnTI/bNwI3GmtvR/AWttujPkUcA/wauC3Oa5VRERCJBLrK+gBTeBMm9Fe7yKSMZw5798AvgVUAmustUXW2iJgEvAD4L05rO8Q1trhHhM2D6gABu6XtCbz9bJhF1UA06ZN87oE8RHlQVzKQ+FEovGC7vEOzrSZIcx5VybEpTyEz3Ca95OstTdZa3twRtmttXuste8DrsxZdbnTnfk68P83lfl6agFrGbKGhgavSxAfUR7EpTwUTnssXtDFqgBVZcWUFRcNaa93ZUJcykP4DGfOe4/z38XGmFGZRh5jTBEwPSeV5dYTQBdw5oDLz8h8rTncnYwx1wHXAUyaNImWlhYAZsyYwejRo1m9ejUAY8aMYd68eSxduhSAkpISFi1axKpVq+jo6ACgqamJvXv3smPHDgBmzpxJeXk5a9euBWDcuHHMmjWLZcuWAVBeXk5zczMrV65kz549VFdXs3DhQnbu3MmuXbsAmD17NsXFxaxfvx6ACRMmMH36dJYvTx9yW1FRwcKFC1mxYgWxWAyA5uZmtm3bxp49ewCYO3cuyWSSTZs2ATB58mSmTJnCihUrAKiurqapqYnly5fT29sLwKJFi9i8eTP79u0DYP78+fT29rJlyxYApk6dyvjx41m5Mn0cQE1NDY2NjSxbtoxEIv3LkwsvvJB169b17z+7YMECOjs72bp1K5AeKWhoaGDVqlUA1NfXs2DBApYsWYK1FmMMF110EatXr6atrQ2AxsZGWltb2b59uyevU1dXF0DeX6euri5mz56t18nnrxMU5vupq6uLSy+9VK9TAV6n/R1RTiiO0dLSUtDvp8oSy4Ynn2bJkn2Dep02b95MSUnJcfs66X3v0Ndp2bJlVFZW6nXy+es08PvpaIy1Q5uiboxZBnzGWvsvY8yvMhd/LfP1f4Ama+3pg3ici4F7B/GUS6y1iwfcdzHpBatvsdbeNsi6rwe+CrwWuBOYCPwZmAtstdaedrT7NzU12WyICq2lpYXFixd78tziP8qDuJSHwpnzqbt4w7kncuNL5xb0eV/y7aVMbajkljc1Der2yoS4lIdgMsY8Yq097Df9cEbe/w/4rjHmlcAXgPuB12WuiwOvGeTjPADMGcTtokMt8HCstd80xnQCNwBfBPYAnwa+Tnr3Gt+qr/f9bpZSQMqDuJSHwuiJJ4nFkwU9XTWrrrKUyBCmzSgT4lIewmfIzbu19mbg5uzfjTGnAy8lvWXkvdbaTYN8nCiwcajPPxKHqb0IuB34TSHrGCodsCAu5UFcykNhdMTSWzXWFHjOO0BDVRmb9gx+r25lQlzKQ/gMZ8HqIay1z1hrb7HWfn+wjXu+GWPKjDFjBlzWZIyZNOCmi4FS4BeFqm04lixZ4nUJ4iPKg7iUh8JozzTvdR4073WVZf2nuw6GMiEu5SF8Rty8G2NW5aKQHPsrsNMYM8257L3A140xJQCZ674PfMxa+1TBKxyCoa5LkHBTHsSlPBRGJNu8F3irSICGyjLaon2kUoN7rZUJcSkP4TPi5p3nHtKUN8aYC4wxjwG3Zi76nDHmMWPMwO0p9wAHgJhz2b+B2cCWzA8cvwT+n7X22/mteuSMKdg/sQSA8iAu5aEwsiPfhT6kCdI/MKQsdPYM7qgTZUJcykP4DGfB6kAF+5EuczrqGYO43ZsPc9kv8Pn0mCO56KKLvC5BfER5EJfyUBjZBaOejLxnDmpqjfYN6pAoZUJcykP4BGrk/XiV3V9UBJQHOZTyUBjtHi5Yra8c2imryoS4lIfwycWC1YEHH0mOZQ8PEAHlQQ6lPBRGeyxOkYHR5bn4hfXQ1GdG3tu6B9e8KxPiUh7CJxcj7yIiIqEWicaprSilqKjwv2yuz0yVaR1k8y4i4Zbz5j27m4vkTmNjo9cliI8oD+JSHgojEot7ckATHBx5H+x2kcqEuJSH8MnHyPtDeXjM41pra6vXJYiPKA/iUh4KIxLto9aD+e6QnqpTUmRoHeScd2VCXMpD+GjaTABs377d6xLER5QHcSkPhdERi3vWvBtjMgc1Da55VybEpTyEzzGnuBhjUhRwO0gRERG/icTiTBtb5dnzN1SVas67iACD2+f9HmAG8N9B3NYALxtRRfIcM2bM8LoE8RHlQVzKQ2FEonHqPBp5B6irLKNtkHPelQlxKQ/hM5jm/S3AA8AXrLVPHuvGxphHR1yVHGL06NFelyA+ojyIS3nIv2TK0tETp9ajBasADZVlPPls16Buq0yIS3kIn2POebfW7gauB35pjBnMHPl7R1yVHEIHLIhLeRCX8pB/nT1xrMWzOe8A9VWlgx55VybEpTyEz6AWrFpr77TWNltrU4O47Q0jL0tERMQfsqerejltpj6zYNVaLUETOd4Ne7cZY8wYY8wJxpjCn1hxnBkzZozXJYiPKA/iUh7yL7u/el2lt817ImXp7E0c87bKhLiUh/AZUvNujDnDGPN7Y0w7sA/YA7QbY+4wxpyZlwqFefPmeV2C+IjyIC7lIf8iMR8075mDmtoGseOMMiEu5SF8Bt28G2PeCKwALgZWArdn/jwMvABYYYx5i3P7Txhj3prbco9PS5cu9boE8RHlQVzKQ/5l91evrfBuwWp95geHwcx7VybEpTyEz2B2m8EYcwbwPeDdwP9Za+MDri8FrgFuMsasAnYBXwD+CPwsh/WKiIgUVHbOu7cLVgc/8i4i4Tao5h24AXintfa3h7sy08zfYozpBD4CPEb6YKfv56LI411JyWBfJjkeKA/iUh7yrz3qg+Y9s01l2yBOWVUmxKU8hM9gp82cdqTGfYDbgecDnwCusdb+Z9iVSb9FixZ5XYL4iPIgLuUh/yKxOFVlxZSVDHuPhxFryDTvgzllVZkQl/IQPoN9JxrU5rI2vYfVXmC2tfYXw65KDrFq1SqvSxAfUR7EpTzkXyQap87DA5oARo8qocgc3PnmaJQJcSkP4TPY5n1Q71rZbSOttc8OuyJ5jo6ODq9LEB9RHsSlPORfe6zP0ykzAEVFhvrKMloHMW1GmRCX8hA+g23eHzPGXDmI210JPD6CekRERHylPRb3vHmH9FaVkUE07yISboNdxfB14D/GmErgV9bapHulMaYYeANwE3BRbkuUpqYmr0sQH1EexKU85F8kGueUcdVel0FDVdmg5rwrE+JSHsJnUM27tXa1MeY9wM9Jbwf5COlDmgDGAWcB1aR3pNHIe47t3buX6mrvPzjEH5QHcSkP+ReJxT09oCmrrrKMHa3RY95OmRCX8hA+g146b639DbAQ+A9wLnB15k8zsBQ431r783wUebzbsWOH1yWIjygP4lIe8staS3s07ukBTVkNlYMbeVcmxKU8hM+QNv+01q4GrswsTB2bufiAtTaV88pEREQ8Fosn6Uum/DHnvaqUSDSOtZbM/hAichwa1s79mS0htaNMgcycOdPrEsRHlAdxKQ/5lT1d1Q/TZhoqy+hLpujuS1JdfuSPb2VCXMpD+Hh34oQMWnl5udcliI8oD+JSHvIru696nQ9G3vtPWT3G1BllQlzKQ/ioeQ+AtWvXel2C+IjyIC7lIb+yzXutD0be66syzfsxtotUJsSlPISPmncREZEjaI+lG+U6HyxYrc/8ADGYRasiEl5q3gNg3LhxXpcgPqI8iEt5yC8/jrxnazoSZUJcykP4qHkPgFmzZnldgviI8iAu5SG/+hes+mjO+7FG3pUJcSkP4aPmPQCWLVvmdQniI8qDuJSH/IrE4pQWGyrLir0uhdqKUoyByDHmvCsT4lIewkfNu4iIyBFEMgc0+WFf9eIiQ11FKa3HaN5FJNzUvAeAtnkSl/IgLuUhv9pjfdRWDOtIlLyoryyj7Rhz3pUJcSkP4aPmPQCam5u9LkF8RHkQl/KQX5FonLpK73eayaqvKjvmPu/KhLiUh/BR8x4AK1eu9LoE8RHlQVzKQ361x+K+WKyaVV9ZesyRd2VCXMpD+Kh5D4Curi6vSxAfUR7EpTzkVyQa98U2kVn1lcceeVcmxKU8hI+adxERkSNIj7z7bNpMtA9rrdeliIhH1LwHwMKFC70uQXxEeRCX8pA/8WSKrt4Etb6aNlNGbyJFLJ484m2UCXEpD+Gj5j0Adu7c6XUJ4iPKg7iUh/zpyB7Q5KtpM+lajjbvXZkQl/IQPmreA2DXrl1elyA+ojyIS3nIn4gfm/eq9BSeo817VybEpTyEj5p3ERGRw4hkRrf9Nm0GoE0HNYkct9S8B8Ds2bO9LkF8RHkQl/KQP+2xdIPsp33eG6rSP0i0HmXkXZkQl/IQPmreA6C4uNjrEsRHlAdxKQ/548eR9+wPEpGjzHlXJsSlPISPmvcAWL9+vdcliI8oD+JSHvKnPTvn3U/Ne8WxR96VCXEpD+Gj5l1EROQwsqPbNT5q3kuKi6gZVUJEc95Fjltq3gNgwoQJXpcgPqI8iEt5yJ/2WJyaUSUUFxmvSzlEQ1UZrUeZNqNMiEt5CB817wEwffp0r0sQH1EexKU85E8k2ketj7aJzKqrLDvqyLsyIS7lIXzUvAfA8uXLvS5BfER5EJfykD+RWJy6Cv/sNJPVUFV21DnvyoS4lIfwUfMuIiJyGO2xuK8OaMqqqyw96m4zIhJuat4DoKKiwusSxEeUB3EpD/nTHo37apvIrIbKo4+8KxPiUh7CR817ACxcuNDrEsRHlAdxKQ/5E/HpyHt9VRmxeJKeePKw1ysT4lIewkfNewCsWLHC6xLER5QHcSkP+WGtpT3mz5H3+sxBTW1HWLSqTIhLeQgfNe8BEIvFvC5BfER5EJfykB9dvQmSKevLBav1lUc/qEmZEJfyED5q3kVERAbILgj141aR9VXpHyi0aFXk+KTmPQCam5u9LkF8RHkQl/KQH+2xdGNc5+NpM0caeVcmxKU8hI+a9wDYtm2b1yWIjygP4lIe8iM7ql1X6cNpM1XpHyiOdFCTMiEu5SF81LwHwJ49e7wuQXxEeRCX8pAfkVi6MfbzgtXW7sNPm1EmxKU8hI+adxERkQH6p834cM57aXERo8tLjrjbjIiEm5r3AJg7d67XJYiPKA/iUh7yo3/Bqg9H3iG9aPVIzbsyIS7lIXzUvAdAMnn4gzjk+KQ8iEt5yI/2WJxRpUWMKi32upTDqq8spe0Iu80oE+JSHsJHzXsAbNq0yesSxEeUB3EpD/kRifb5dtQdMiPvR9htRpkQl/IQPmreRUREBohE4748oCmrvvLI02ZEJNzUvAfA5MmTvS5BfER5EJfykB/tsbgvD2jKqq888si7MiEu5SF81LwHwJQpU7wuQXxEeRCX8pAf7bG4Lw9oyqqvLKW7L0lv4rnzmZUJcSkP4aPmPQBWrFjhdQniI8qDuJSH/IhE477cJjKrvio9pSdymEWryoS4lIfwUfMuIiIyQCTm8wWrmYOaNO9d5PgTmObdGFNvjPmwMWalMWadMWaDMeYeY8yiITzGi4wxDxljHjfGbDTGfNwY4/t/g+rqaq9LEB9RHsSlPOReTzxJTzxFXaWPF6xWpX+waD3MvHdlQlzKQ/iUeF3AELwD+DCw2Fq71hhTDHwTWGKMucRae8/R7pxp8v8GvMZa+ydjzFRgBVADfDzPtY9IU1OT1yWIjygP4lIecq8j5u8DmuDgyPvhps0oE+JSHsLH96POA/zYWrsWwFqbBD4GJIH3DeK+XwUetNb+KXP/HcBNwPXGmEn5KTc3li9f7nUJ4iPKg7iUh9yLZJp3P895b8jMeT/cyLsyIS7lIXyC1Lx/Hfi0e4G1tgdoA+qPdkdjzETgPOA/A666DygFLstdmbnX29vrdQniI8qDuJSH3MuOZvt5n/fsDxaRw8x5VybEpTyET2Cad2ttMjPa3s8YUw+MBVqOcffTMl+3Dbg8+/fTR1ygiIiEQrYh9vO0mfKSYqrKimntfu60GREJtyDNeT+ca4F9pKe/HM3YzNfOAZd3ZL6OOdydjDHXAdcBTJo0iZaWFgBmzJjB6NGjWb16dfrOY8Ywb948li5dCkBJSQmLFi1i1apVdHSkn6KpqYm9e/eyY8cOAGbOnEl5eTlr164FYNy4ccyaNYtly5YBUF5eTnNzMytXrgSgpaWFhQsXsnPnTnbt2gXA7NmzKS4uZv369QBMmDCB6dOn9/+KrKKigoULF7JixQpisRgAzc3NbNu2jT179gAwd+5ckslk//HJkydPZsqUKf1bS1VXV9PU1MTy5cv7f3pftGgRmzdvZt++fQDMnz+f3t5etmzZAsDUqVMZP358f+01NTU0NjaybNkyEokEABdeeCHr1q3jwIEDACxYsIDOzk62bt0KwLRp02hoaGDVqlUA1NfXs2DBApYsWYK1FmMMF110EatXr6atrQ2AxsZGWltb2b59uyevU1dXF0BBXqctW7bodQrA61So76dUKqXXKYev0+r9xQBs3fg4B55I5Ox1yvX306iiFPvau9m+ffshr9P8+fP7P6/C/DrpfW9wr1NlZWV/HvQ6+fd1Gvj9dDTGWnvUG+SLMeZi4N5B3HSJtXbxYe4/D1gKvMpa23KM57oa+BVwpbX2D87lJUAc+J219rVHe4ympiabDVGhrV+/nrlz53ry3OI/yoO4lIfcu/X+rXzh7xtY85kXUTPKv6PvL//eMsZUl3HbW8455HJlQlzKQzAZYx6x1h52tbGX02YeAOYM4s+bBt7RGHMi8Ffg7cdq3DP2Z76OHnB5TebrgSHWXlDZn0xFQHmQQykPuReJxikuMowu9/cvp+sqS2k7zG4zyoS4lIfw8eydyVobBTYO9X6ZLR7vBW6w1t45yLs9nvk6bcDl0zNf1wy1DhERCadIrI+aUSUYY7wu5agaqsp46kDU6zJEpMACs2AVDmncb7TW3uFc/pcBt6s0xtRm/26t3Q0sBxYPeMjnkZ4289d81ZwL8+fP97oE8RHlQVzKQ+5FonFfH9CUVV9ZdtgTVpUJcSkP4ePv3wk6jDFTSG/1+BgwyhjzBufqgbvFPAo0GGOmWWu7M5fdANxnjLnMWvuXzON9EPimtXZXnssfEW3zJC7lQVzKQ+61x+K+3mkmq76yjM6eBPFkitLig2NxyoS4lIfwCdLI+4eAk4FXAb8Y8Geg3aR3oUlkL7DWLgNeDnzKGLMG+BfwA+DG/JY9ctnV1yKgPMihlIfca4/FfX1AU1Z9VbrGgaPvyoS4lIfwCczIu7X2Q6Qb+MHcdvERLr8buDuHZYmISMhEonFmjK3yuoxjqs9M7YlE44wbPcrjakSkUII08n7cmjp1qtcliI8oD+JSHnIvEu0LzLQZgNbuQ0felQlxKQ/ho+Y9AMaPH+91CeIjyoO4lIfcSqYsnb0JaoOwYDUzbSYyYNqMMiEu5SF81LwHgFeHQ4k/KQ/iUh5yq7MnjrVQF4CR94aq7Mj7oXu9KxPiUh7CR827iIhIRiRz6FEgFqxmfjtwuO0iRSS81LwHQE1NzbFvJMcN5UFcykNuRWLBad5HlRZTUVpM24A578qEuJSH8FHzHgCNjY1elyA+ojyIS3nIrez88SAsWAWoryylLXrotBllQlzKQ/ioeQ+AZcuWeV2C+IjyIC7lIbfaMyPvtRX+X7AKUF/13FNWlQlxKQ/ho+Y9ABKJxLFvJMcN5UFcykNutQdo2gyk570PbN6VCXEpD+Gj5l1ERCQju2A1MNNmqsqeM+ddRMJNzXsAXHjhhV6XID6iPIhLecitSDROVVkxpcXB+Hg83Jx3ZUJcykP4BOPd6Ti3bt06r0sQH1EexKU85FYk1kddAA5oyqqvLKM9FieRTPVfpkyIS3kIHzXvAXDgwAGvSxAfUR7EpTzkVkcsHpgpM5AeeYeDc/VBmZBDKQ/ho+ZdREQkIxKNB2axKqTnvIMOahI5nqh5D4AFCxZ4XYL4iPIgLuUhtyKxgDXv/aesHhx5VybEpTyEj5r3AOjs7PS6BPER5UFcykNuRaLBmjbTkBl5b3V2nFEmxKU8hI+a9wDYunWr1yWIjygP4lIecsdam5nzHpwFq9nfEkScaTPKhLiUh/BR8y4iIgLE4kn6kqlATZs5OPIeP8YtRSQs1LwHwLRp07wuQXxEeRCX8pA72QOa6gI0baaitJiykqJDRt6VCXEpD+Gj5j0AGhoavC5BfER5EJfykDtBO10VwBhDQ2XZIXPelQlxKQ/ho+Y9AFatWuV1CeIjyoO4lIfcicTSDXBtgKbNQHreu7vbjDIhLuUhfNS8i4iIkD6gCaAuQAtWIT3vXfu8ixw/1LwHQH19vdcliI8oD+JSHnKnf857wEbe6ysPbd6VCXEpD+Gj5j0AdMCCuJQHcSkPuROJBbR5ryqlzZnzrkyIS3kIHzXvAbBkyRKvSxAfUR7EpTzkTiQap7TYUFFa7HUpQ1JfWUYkFieZsoAyIYdSHsJHzXsAWGu9LkF8RHkQl/KQO+2xPmoryjDGeF3KkNRXlmHtwTn7yoS4lIfwUfMeAEH7IJH8Uh7EpTzkTnssHrgpM5CeNgPQmpn3rkyIS3kIHzXvAXDRRRd5XYL4iPIgLuUhdyLReKAOaMqqr0zvjpM9qEmZEJfyED5q3gNg9erVXpcgPqI8iEt5yJ1INJgj7w1V6ea9tTs9bUaZEJfyED5q3gOgra3N6xLER5QHcSkPudMei1MT4JH37HaRyoS4lIfwUfMuIiJCetpJ0A5oAqjPjLy720WKSHipeQ+AxsZGr0sQH1EexKU85EY8maK7LxnIaTNVZcWUFhvaModMKRPiUh7CR817ALS2tnpdgviI8iAu5SE32gN6QBOkdxOpryzrH3lXJsSlPISPmvcA2L59u9cliI8oD+JSHnIjkhm1rg3gnHdIz3vPznlXJsSlPISPmncRETnutcfSjW9gm/eq0v7mXUTCTc17AMyYMcPrEsRHlAdxKQ+5cXDaTPAWrEJ25D39/6BMiEt5CB817wEwevRor0sQH1EexKU85EZ22kwQD2mC9I4z2TnvyoS4lIfwUfMeADpgQVzKg7iUh9zob94DuGAVoL6ylEgsTipllQk5hPIQPmreRUTkuBfJTJsZPSqozXsZyZSlsyfhdSkikmdq3gNgzJgxXpcgPqI8iEt5yI32aB81o0ooLjJelzIs7imryoS4lIfwUfMeAPPmzfO6BPER5UFcykNutMfigV2sCtCQOWW1NdqnTMghlIfwUfMeAEuXLvW6BPER5UFcykNuRGLxwM53h4Nz9SPRPmVCDqE8hI+adxEROe5FovHA7vEOzsh7d9zjSkQk39S8B0BJSYnXJYiPKA/iUh5yoz0W7OY9O+UnEu1TJuQQykP4qHkPgEWLFnldgviI8iAu5SE3ItG+QE+byS62be3uUybkEMpD+Kh5D4BVq1Z5XYL4iPIgLuVh5FIpm16wWhHcBavGGOorS2mLxpUJOYTyED76XUoAdHR0eF2C+IjyIC7lYeS6+hKkbHAPaMqqr0yfstrR0el1KeIjeo8IH428i4jIca09c7pqTYDnvEOmeY/2eV2GiOSZmvcAaGpq8roE8RHlQVyFykNvIlmQ5/FCJNO81wW9ea8qpS3ap/cIOYTyED5q3gNg7969XpcgPqI8iKsQedgViXHel+/jC39bn/fn8kJ7LNO8B/iQJkiPvLd2x/UeIYdQHsJHzXsA7Nixw+sSxEeUB3HlOw+plOX63z3Gge4+bl22jQe3Hsjr83khEktPNQn8nPeqMiLRPp5++mmvSxEf0WdG+Kh5FxGRI/rZf7fx4NZWPnvZPE5sqOSjf1hDtC/hdVk5FZppM5WlJFKWWLheHhEZQM17AMycOdPrEsRHlAdx5TMPm/Z08rW7NvGiueN5U/NJfO3K03nqQJSv370pb8/phey0mTAsWAUYO/kkjysRP9FnRvioeQ+A8vJyr0sQH1EexJWvPPQmknzg9seoqSjly1echjGGc2eM4U3NJ3HbA9t5eHtrXp7XC5FoH6NKixhVWux1KSPSUJVu3qNJfbTLQfrMCB99hwfA2rVrvS5BfER5EFe+8vCtezezYXcHX7vyNMZUH/zw/+hLTmVyXQU33LGGWF84dqAJ+gFNWdkFt2s2PuFxJeIn+swIHzXvIiPUE0/Ssmkf8WTK61JEcmLF1gPcvHQrVy88keefOv6Q66rKS/jaq05n2/5uvnVvOKbPRKLxwC9WBRiTGXl/MqL3IpEwU/MeAOPGjfO6BDmCB57cz6XfuZ9rfv4w7//No/Ql8v+hqTyIK9d56OyJ86HfreakhkpuvHTOYW9z3iljef3CE7l12TYeeaotp8/vhUgsTm3A57sDnDSmkhfNHc+fn4zzvw9s97oc8Ql9ZoSPmvcAmDVrltclyACt3X1c/7vVXH3LCpLW8tbzp/PPtXt4969W5f0wG+VBXLnOw2f/up7d7TG+9dozqCovOeLtPn7pHCbVVvCRO1bTEw/29Jn2aDiad2MM37+6kRfNHcen/7KOny3b5nVJ4gP6zAgfNe8BsGzZMq9LkAxrLb9buYPnf7OFv6zexXufdwp3f+BC/t/L5/K5V8zjXxv28s5fPJLXZkZ5EFcu83DX2t3c8chO3vu8U2g8sf6ot60uL+ErrzqNrc92c9O/NuesBi9EYn2hmDYDUFZSxGumdHHJ/Al87m/rufX+rV6XJB7TZ0b4qHkXGaQn9nXxupsf5IY71jBzXDV/f/8FfPjFs/t3qHhT8zS+dPlp/GfTs7z9/1YGfjRSji/7Onv4+J2Pc9rkWt73gsFtLXfBzBN43dlTuWXpVh7bEclvgXnUHosH/nRVV0mR4btXnclLT5vIF/6+gZ8sedLrkkQkh9S8B4C2efJWTzzJt+7dzCXfWcrGPZ189VWncft1zcwaP/o5t7164Yl87crTWfbEft5628N5OcwmbHn482O7uGXpVlbviJDQot8hy0UerLXp3WPiSW567RmUFg/+o+ETL53D+JpRfOT3q/M+ZSwfeuJJeuKpUEybySovL6e0uIjvvO4MXnb6RL78z438sEU70ByvwvaZIXDkCY3iG83NzV6XcNz67xP7+eSf1rJtfzeXnzmZG186h7HVR38jfE3TVEqLDdf/bjXX/PxhfnbN2VQfZe7wUIUpD2t3tfPB2x8jZdN/ryorpvGkehZOb2DhjDGcPqWW8pJg772db7nIw69WPE3Lpmf53Cvmccq46iHdt2ZUeh/4a37+MN/99xY+8uJTR1xPIWUPaApT857NRElxEd9+7RkUFxm+dtcmUinLe5+vA3uON2H6zJA0Ne8BsHLlSpqamrwuY9gSyRS7IjGeOhDlqdYoz3b0cO7JYzh3+hiKiozX5R3Wga5evvj3Ddz56C6mjankl29byKKZYwd9/8vPnEJxUREfvP0x3vyzh7jtLWczelRumoOg5yErmbJ84o+P01BVzm+vO5eNezp4aFsrD21r5Rv3pOdQl5UUcebUOhZOb+Cc6WNoPKmOyjK9bblGmoetz3bxxb9v4MJZJ/DGc4d3Mufi2eN49VlT+PGSrbxk3kROm1I77HoKLRJNN+9hmfMOh2aipLiIb73mDIqM4Rv3bCaZgv+5WA388SQsnxlykD4FA6Crq8vrEo4p2pfg6dYoTx2I8vSBKE+1dqeb9QNRdkViJLNDqxnfve8JJtWO4pVnTuaKxilDHu3Ll1TK8vtHdvDlf26kuzfB+59/Cu9+3inDOnnxsgWTKCkyvP83j/LGnz7E/771nJyM7gUhD4PxqxVPsWZnO9953RmcMq6aU8ZV87LTJwHQ1t3Hw9vTjfxD21v5/n+eIHXfE5QUGeZPrmXhjAYWTm/grJMaQjViOhwjyUMimeKDv1tNWUkRX7/ydIwZ/g/Tn3zZXJZueZYP/341f33fIspKgjErMzvyHoZDmrIGZqK4yPCNVy+gyBhu+tdmUtbygYtnjuj1luAIy2eGHKTmXQbFWktbNM5TB7r7m/T0n+70aHpn7yG3r60o5aQxlZw+pZaXL5jISQ1VnDimkpPGVFJbUcq/NuzjzlU7+fGSJ/lhy5MsmFLLFY1TePmCSf1HfBfalr2d3PjHtTy0vZVzpjXwpSvmc8q4585rH4pLT5tIcZHhvb9exRt/uoL/e+s5oVoYN1z7Onr4+l2bWHTKWC5bMOk519dXlfGieRN40bwJQHrv8VVPR1ix9QAPbWvlZ8u28ZMlWzEG5kyo4ZzpDZnR+YZDTgOVo/vBf55k9Y4IP7i6kfE1o0b0WLUV6ekzb71tJd+/bwsfetHsHFWZX5FoHxCukffDKS4yfO3K0yky8J1/byFlLR964Sw18CIBZKy1x75ViBhjLgV+Btxlrb1msPdramqyK1euzFtdRxOLxaioqMj78yRTlj0dPekG/UCU7QeiPJ0ZQX/6QJTO3kMXX06oGZVuyBvSTfmJY6r6/3uwDeq+zh7+8tgz3LlqF+t3d1BSZHjeqeN4VeNknnfquILMd+6JJ/nBf57gx0uepKq8hE9cMocrz5qS0yk9/96wl3f9chWnjKvml9cuHNEPKIXKQz697zePcve6Pdz9gQuZPrZqyPfviSd59OlIZmT+AI881UZPPL3Y9ZRx1Yc08xNrg/1vdSzDzcPqHRGu+NEDXLZgEje99oyc1fOh2x/jL6uf4U/vOZ/5k/0/feZ3K3dwwx1ruP+G5zG1odLrcnLiaJlIZaar/fbhHbxr8cnc8OLZauBDLgyfGccjY8wj1trDzncKzMi7MaYeeBvwOqCC9E45O4DPWWuPuYmpMaYC+AbQDIw/xs19ZefOncycmbs5itZanu3sZf3uDjbu6WRj5uvWZ7vpc3b7KCkyTG2o5MSGSs46qZ4TGyo5aUxVulFvqBzWVJKBxo0exbUXzODaC2awYXcHf3x0F398dBf3rt9LbUUpLzt9Ilc0TqHxxLq8fMAs27KfT/7pcbYfiHJF42RuvHROXkZuXzBnPDe/6Syu+8UjXH3Lg/zy2oXHXPh6JLnOQ6Et3fwsf139DB+4eOawGneAUaXFNJ88huaTxwAz6UukeHxXe2bO/AH++tgz/HrF0wBMbahg4fQxnDO9gfNPGcvkunB9iA0nD9G+BB+8/THGjy7nM5fNy2k9/+/lc7n/if185I41/Pk95/t++kx7Zs57bYhG3o+WiaIiw5cuP42iIsOPWp4klbJ87JJT1cCHWNA/M+S5AtO8A+8APgwsttauNcYUA98ElhhjLrHW3nOM+18JdAPnAr3HuK2v7Nq1a9jfeD3xJE/s62LD7g427O5k4550o97a3dd/m4m1ozh1wmgunHUCJ42p5KSGdIM+sXYUJUPYMm6k5kysYc7EGm548Wz+++QB7ly1kz+s2smvVjzNtDGVXNE4hcvPnJyT0bH9Xb184W/r+dNjzzB9bBW/vnYh550y+AWpw7F49jh+9uazufb/Huaqmx/kV29fyLjRQ5+qMJI8eK0nnuRTf17L9LFVvPOik3P2uGUlRZx1Uj1nnVTPuxafTDJl2bD74ALY+zbu445HdlJSZPjF2xZmmv5wGE4evvyPjWw70M2vrz0352sG6irL+OIr53PdLx7hRy1P+n5xZCTWR3GRYXQOd4Ty2rEyUVRk+MIr5lNk4CdLt5JMWW586Rw18CEV5M8MObygvVv92Fq7FsBamzTGfAx4N/A+4FjN+2+stb8AQvkGZW16ysvBJj09or51f3f/YtFRpUXMHj+aF84Zz5yJozl1Yg2nThjtuznYJcVFXDTrBC6adQKdPXHuWruHO1ft4lv3buZb927mnOkNvKpxMpecNpGaIe7gkkqlT0j98j83Eu1L8P4XzOTdi0/OyW8RBmPRzLH8/JpzeNv/Pszrbn6Q37z93BHPNQ6SH7Y8yVMHovzq2oV5/TcvzixsnT+5lrcumo61li37unjnLx/h/b99lL+/f9GwfnAKg/9s2scvHnyKt18wPW8/xLxo3gReccYkvnffFl40bzxzJtbk5XlyoT0Wp7aiNJSfC0dTVGT4/CvmU2wMty7bRtJa/t/L5h53/w4iQRSYOe+ZkXastckBl+8FtlhrFw3hsSzwv0GZ8757924mTpzY//dYX5LNe9Oj6Bt2d7IhM+0lu2sCwJT6Ck6dUMOciaOZk2nSTxpTRbFPt2YcjJ1tUf782DP8YdVOtj7bTXlJES+cO55XNU7hgpljj/lbgi17O/nEHx/n4e1tnDO9gS9dfppnu9w8vL2Va372ECeMLufXbz+XSUOYyjEwD0Hx5LNdXPLt+7n0tAl8+3VnelLDxj0dvPIH/+XMqfX88tqFgf5+yBpKHtq6+3jRt5fSUFnGn997fl5/gGrr7uOFNy1hQu0o/vju84d08FMhvffXq1j/TAf3fXix16XkzFAyYa3lc39bz8//u51rzpvGp1+uBj5sgvqZcbwLxZz3gU079M+DHwvcUviK8s9ay862GCu2d7B7fRcb96Qb9W0HurHOoTazJ4zmpadPZM6EdKM+a8LoIY9IB8GU+kre87xTePfik1mzs507V+3kL6uf4W9rdjO2upxXnDGJKxonM3dizSEfPj3xJN+/7wl+sjS9IPXrV57OlWdN8fQD6uxpDfzf2xZyzc8e4rU3L+fX15476OlAxcXBO7TIWsun/rSW8tIibnzpXM/qOHVCDZ9/xXw+cscavv2vzVwfkB1RjmawebA2vVAxEu3jf99yTt5/21RfVcYXXjmfd/5yFT9Z8qRvDwdqj8WpCdl2o0N5jzDG8P9eNvfgCHzK8tnL5vn2DA4ZuiB+ZsjRBWbk/XCMMR8BPgTMt9YeGML9hjzyPrqkxJ5VPWCUdtw4mDQJUilYs4aXjRnDh6dOBWDxY49xzZVXcs2tt7J/0yauXLjwuQ86aVL6MXp7YcMGrpkwgWsmTGB/PM6V69bxxvd+hM8nzui/eUn7HsoOPE3ZgR2UHniaslEJSkaB6eqCJ57g+ilTePnYsWyKRnnH5s186atf5bx3vIMHfvITPvHRjz73+U85Baqroa0NnnqKL02fznm1tTzQ3s4ntm3jJ7/5DbMvuYS/fupTfPN733vu/efMgfJy2LcPnnmGn8yaxezKSv66fz/f3LmTO1asYOzs2dx27bXcdscdz73/6adDURE88wzs28cd8+YxtrSU2/bs4bY9e2iJRAD4xstext+WDViTXFQEp5+ONUXE+qrpmnwm8WlnES8qZkxkF6OefIA7//BjNu/t5F3fv4uuigaqNi2lYfmvKe7pTNc9Z076sZ54gjG9vfxhXnrh3se3buVAVRU3b9gAwHVz5rB59+5Dn7+6Ov3vB7BhA7OKi7l51qz07TdvZsxJJ/Hl5csBeNXkyRzo7j70/vX1cNJJ9FZNYO+sKxiV6OGuzX/gxN52XrVuHc0LF/Lhv/0NgMV1dYfcNZFIUDJpUl6zd/373sfLP/95Nv3zn7zjqquee/+TTkr/Pwwye10zz2f/C95Nw9KfUbP+355nb//lH6Vr/OmM++9PqHx86bCyB8BTT0FbGy1nnJG+/Y4dLO/p4Q+7dgHw8eZmlmdy1C/H2ZuWSHDbaaelb3+U7HXNXMT+F7yL+tV/oja2JX3/NWtorq7myzNmpG9/jOwBQ37f23fx+4hOP4tJd9xIWduugmfvOQZkz1z1NU5K9XLdQz8LzPsecNTstbS0cPfHPz6k7H1s61YePPs1bJ/5PK5eeCLPfuK1bNn9zKH3z9H7HlCQ7D1HAbP38Y99jGRlPYnRJ5CoOYHE6HHEJ88gUT2GROlokuXpQaYSa8GmSKSSVIwaRUlpCYmeGD2xKCaVgsz1xqagND3eahJxiPcxpbSUyiJDZ7yPPb29nDp/PuVVFezbspm9+/aBTaX/rVIpTJGB0aMBA7090NdHY3U1Zcaws7eXnb29nPuiF2GM4cmHHmJfW9vB/29rwRioyWydHI1BPM75NenpcE/0xGhLpjj7RS8EDBvuX0pr54C95YuL0vkB6O6mLJXi7NHpx9sQjdJXXMyC578AgNX3/ZuungFLE0uKoSqzwUFXF9XGsCDz99Xd3ZRVVDDnggsBePieu+lLDBjvLSuF7I47HR00lJQwpzI9YPZwZycN9fWcvPBcAP77j38cctexS26huKai4Nlb0t7uv5F3Y8zFwL2DuOkSa+3iw9x/HvAx4FVDadyHwhhzHXAdQJUxJBLprRKLioowxtATjdIbiVBaXEwV6e2YIpFI/4ju/v37aWlpoXvHDqy1WGtJpVL9j2GTSTojEYricapSKay1RCIR2hMJEskkY+nhHY2jSa5dwT++9xVKbRKbSvU/hj3xRBLF9fR0dlKRSNDb10cqlaKjo4NEIsHWbds4D9i6bVt/7SUlJaQyjxHr7GRUeTnE45hEgs6uLqJlZSStJZFIsHrNGjpPOAGARDJJdri/pKSEZCpFd0cHqdJSRieTmMzzRvr66O3rw1rLioceomr3bvbv359+jMTBrSZLSkro7u4mnkxSHo0yylp6enuJdHcTjUb7/z9WrVrFgQMHSCaTFBcXH3yMoiJKgO7ODkp2baBh9X386exm/lY/kx/WzWbXWa/m3C/9GwtUJZOM/ePnqHhmff9jpIwh1t5ObW0t8XiceDxOJBJh9OjRJBIJot3dtLS0MHPmTJKJRP/zmqIiiouK6O3tJRaJUFRURA0Q7+sjkvnQtdYS6+mhpaUFgGQyibWWZDJ5MD/W0h6JQCTC2A1fIPKKG3n1nNdy80M/JR6Pk0ql2LhxI3v27CGRSFBcXIwFUpnHivf1UZxK0RmJUJVI0NubfqNrz7z2u3fvJpFI8MQTT/TXXlxc3J/B3miUoliMMmuxiQTRaJTOri4oLyeRSLB9+3ZaWloYn6k7+0N+9jGiXV0kjKEylaLUWrq6u4mUlNCdea7NmzfT19LC9s2bSZZV0tr8esr2bKFizT3Y4iLifX1EIxFKurqoTKVIJJNEIhE6u7tJJpOkrKWlpYXt27enf1gpKTmkDpNM0heLkYpGKU8k6OvrI15aSld3d///d93JJ/f/O2AMJcXF/Y9R8ujvKb1gAvubXs+4Latpb29ndE0NiWSSRCJBS0sLEyZMIJVKHXztjenPT1fmta61FptK9b/2iWSSZDLZ/9rHenqwQNJ9DKCjo4NUKkVF5nXrjkaJ9/XR09tLsrycXbt2sWXLFqLd3aRSKYwx/fmx8TilQHt7OxV9faSMwQLd3d309fbS3tFBW1sbnZ2d9Pb2pvNeM44Di95M2a4NlK3+O12TJlFdXU0ikUh/30Ui1NXVkUgkOHDgAC0tLTQ2Nva/V4zkfa9+6c/omTyXZxdfx4Q7Pw3HeN+D9ImQW9esSWe/pOTQ9714HOLxnL3v9ZSUU915IFDve11dXZT09FCS+TdLxOPEYjF6+/p4+umnSSQS/e8Fbm6P9r6XTCSY/PDvmPeiF/HrFU8z6fQrMDu+g8Hm/n0PqM78P2W/F471vgdgffS+V2ItexKG+201j9ZNJnLGbL75hOGLX/8nu/c30HrtbVB8aItV1NOOibVR0vYEVft3sbi2hrGmiJ2JJMujMV7wspfRXQLPrtvGlm3bMcUlWMCaIjBFUFdH0hRBbx9F8TjjqkdTWVJKorcXE09g4z0Um0r6evtImSIoKoXSIrJDtClTlv5/SRWBKWd/URmlxcV02VISppxtuw9QWlpKtKSSREW2+TUYY9L/hkXpHdKKK8qwZUl2Fqf/3jWqjD5r2bwznfmustEkRpf3f+9A+rMzWVIGWExmnd3O0jKstXRVlJEsLuapZzvo7e0lWl5LoiT7/LY/+6Z8FMlkElNZSgzDM+Wj0t/TFWX0lpaw40AXqVSS3op6kjYFmP7HsEXF2NJSiouKsFWldBUZdpSUUlxcTG+qlDYzis07n6WysoJE9ZiDz5v+DiCW534Pnvu+dzSejbwbYyqBEwdx06i19ukB9z0RaAE+bK29cxjPHag57xs3buTUU0/15LmDatv+bv782C4qy4p5U/O0gi1IHa71z3Twhp+uoKTI8Ou3n3vUufhBy8Mn/vg4v33oaf76vkXMm+Sffb+3PtvFZd//LzPHV3P7dc2+39LwSI6Vh2TKctUtD7L+mQ7++T8XeLKX+d/WPMN7f/0oH33Jqbxrce52GcqF0z9zN1c0Tsn5lpleGsl7hLWWb96zme//5wle0zSFr1xx+nE7haY9FmdnW5QdrbHM1yg72tL/vbMtRrTv0NHdhqoyptZXMKWhkin1FUytr2RqQyVT6yuYVFfh2edQ0D4zJM2Xc96ttVFg41DvZ4yZSnrE/obhNO5BNH36dK9LCJzpY6v4wMWzvC5j0OZOquE3bz+X19/6IK+7+UF+/faFzBp/+NNdg5SHR55q49crnuZti6b7qnEHmHFCNV991em859er+OpdG/nUy7ybiz8Sx8rDT5dt5aFtrXzj1Qs8O4TopadN5O/zd3PTvzbzwrnjRnxyca4kU5aOnkTOt8v02kjeI4wxXP+iWRQVGb777y0kU/C1K0/3ZHF3MmVZ/0wHj+1IH8KWsjY9Em9tejaJtaRseoA3lRntdK9PWbBk/jt1hPty8DGstUSicXZkGvWOnkMPJhxdXsKUzHkni045gakNBxv0yfUVVPt0u9EgfWbI4PgzaUfgNO43WmvvcC7/i7X2MufvlUCptbbdgzJzbvny5SxevNjrMiTPZk8YzW+va+bqWx7kqpvTBzkdbou9oOQhkUxx4x8fZ0LNKD74Qn/+IPXS0yfy8PZp/HTZNs6eVs9L5gdvR4aj5WHD7g6+cfdmXjJvAq9qnFzYwhzGGD73ivk8uHUJH7ljDXe88zxf7PTTkdmhK2zN+0jfI4wxfOiFsygy8O1/bcFay9dfvSDvr1n2fIblTx7gwa0HeGh7K50DGuhjKTLp+osMGAzGQJFxvpKevp29TfY6k7lu9KgSpjZU0nhiPVMbKphSX5lp0CsCu6VoUD4zZPAC07wbY6YA/wEeA0YZY97gXH36gJs/CjQYY6ZZawesmBHxr1PGVXP7O5q56uYHueqWB/nl2xYG4oj5w7ntge1s3NPJj9/Q6NsRKYCPX3oqjz7dxkd+v4ZTJ9QwbZinvvpNbyLJB29/jJqKUr50xWmeNx0nZE5z/Z/fPsbPlm3j7RfO8LQegEimea8L0emqufSBi2dRbAzfvHczSWv55qsX5PTgvmyz/uDWdLO+YtvBZn3G2Cpedvokzp3RwNnTGqipKMXgNtsHm3G3ARc5Hvj3E/W5PgScnPnzqgHXPTXg77uBROYPAMaYCmC5c5vLjDGPAXdZaz+W82pzqKIiXMe5y9FNH1vF7e84l6tvWcHVt6RH4E+fUtd/fRDy8Ewkxrfu3czzTx3Hi+dN8LqcoyovKeYHr2/kpd9dxrt/tYo7332e79dIuI6Uh2/ds5mNezr5+TVn01Dlj4PYLlswib+t2c037tnEC+aMY8YJ3pyzkNUe0uY9l+8R73vBTIqKDF+/exMpCze9ZvgN/KHNeisPbTvQPzVl+tgqXnb6RM6dMYZzZ4w5rg6vy7cgfGbI0AR6q8hC8nLBqhyfdrRGueqWB2mPxvnft51D44n1Xpc0aO/4xUqWbH6Wez94kWfzrIfqvo17eettK7nqnBP58hWneV3OiDy49QBX3fIgV59zIl+83F//L/s6enjhTUuZmfktk5fTZ1o27eOanz/MH951HmedFJzvLy/8eMmTfOWfG3npaRP59uvOGNShW6mUZcOe7DSYQ5v1aWMqOXfGGJpPHsPC6WOYUKtmXcTlywWrMngrVqxg4eH2DZVQm9pQye/e0cxVtzzIm376ELe95WyapjX4Pg//Wr+Xu9ft5aMvOTUwjTvA808dz7sWn8yPWp7knOn1XH7mFK9LGpSBeejoiXP971YzbUwVN750joeVHd64mlF8+uVz+dDvVnPbA9t52yLvFtOFdeQ9H+8R77zoZIqN4Yv/2EDKWr571ZnPaeCzzfqDW1vTc9a3tfb/G08bU8mlp6VH1hfOaGBirUaDC8XvnxkydGreAyAWi3ldgnhkUl0Ft2cWsb7pZw/xs2vOpsfHeYj2Jfj0X9Yxa3w1114QvB0Orn/hLB55qo1P3LmW+ZNqmXmEHX/8ZOD7w2f+so49HT3c8c5mKsv8+RZ/+ZmT+dua3Xz97o284NRxnq0ziETDuWA1X58Zb79wBsbAF/6+gff8ahXfvepMtj7bfcic9WyzftKYSl4ybwLnntzAwuljmFSnZt0r6iHCx5/v7CLSb0LtKH573blcfesKrvn5Q7xvQRmLvS7qCL7z7y3sisT43TuaB/Vrdb8pKS7i+1edyaXfvZ93/WoVf37P+VT5eLHtQP94fDd3rtrF/7xgJmf6eJqVMYYvXX4aL7xpCTf8YQ2/ffu5nuwlHtbmPZ+uvWAGxUWGz/51Pad/9h76EumDaE5sqOTF88b3z1lXsy6SP8H5VDqONTc3e12CeGxcTbqBf8OtK7hpVRc1U57ijeee5HVZh9i4p4Of3r+N1zRN4ZzpDV6XM2zjakbx3dedyet/uoIb//g4N732DF/vYpF9f9jX0cMn/vg4C6bU8t7nn+JxVcc2oXYUn3rZXG64Yw2/ePAp3nzetILX0B6LU11eEsgfNI8m358Zbzl/Og1VZTy4tZWzp9WzcMYYJqtZ9y31EOETrneskNq2bZvXJYgPjK0u53fvbObMSRV86k9r+eSfHieeTHldFpCe6/rJP65l9KgSPnaJ/+ZZD9V5p4zlgxfP4k+PPcNvHtrhdTlHtW3bNqy1fOSONfTEk3zrtYNbTOgHrz5rChfNOoGv/HMjTx+IFvz5I7G+UI66F+Iz4xVnTObLV5zGFY1T1Lj7nHqI8AnGO/xxbs+ePV6XID5RM6qUd82Dd1w0g18++DRv/OkKWrv7vC6L3z+yg5VPtfHxS+f4ZlvCkXrv807hwlkn8Jm/rmPtLv+e97Znzx5+ueJplmx+lhsvncPJHm+/OBTGGL58xWkUFxlu+MNqUqnC7n7WHo2HsnnXZ4a4lIfwUfMuEjBFxvDxS+Zw02sXsOrpCJd9fxkb93R4Vs+Brl6+/M+NnDOtgSsbg7FDy2AUFRm+/dozaKgs492/WtW/EM9vdnel+OLf13PhrBN4g8+mUg3GpLoKPvnSOTy4tZVfPfR0QZ87EouHbqcZEQk/Ne8BMHfuXK9LEB/J5uHyM6fwu3c005dIccUPH+Dudd6Mrnz5nxvp6knwhcvne7LoMJ8aqsr4wevP5JlIjBvuWI3fzsWIJ1P8YksRo0qL+fqVp/t6bv7RvPbsqVwwcyxf+ccGdrQWbvpMJNoXyuZdnxniUh7CR817ACSTSa9LEB9x83DG1Dr+8t5FzBxXzTt+8Qjf+/eWgjaYD249wB2P7OTtF85gVgC2VRyOs05q4GOXnMrd6/by02X+mTu6ZmeE19+6gvV7u/ny5acF+kTK7PQZgI/f+XjBMtweS1BbEY5pXi59ZohLeQgf7TYTAJs2bWLixIlelyE+MTAPE2pHcfs7mvnYH9bwzXs3s2lvJ1+/cgEVZcV5raMvkeKTf1rLlPoK3v/8mXl9Lq+9bdF0HtrWylf+uZEzT6zjrJO8201nVyTGN+7exB8f3cWYqjLeMq+MS04L/vvDlPpKPn7pHD75p7X8dNk2Xjh3fN6fsz0WzpF3fWaIS3kIHzXvIiEwqrSYm157BqdOrOGrd21k+4Fubn5jU173Wr7l/q08sa+Ln19zdt5/UPCaMYavv3oBL//eMt7760f5+/svKPjC3M6eOD9qeZKfLtuGBd69+GTetfhkHnnwvwWtI5+uPudE/vH4br7w9w184e8bCvKcY6vLC/I8IiK5ouY9ACZPnux1CeIjR8qDMYZ3XnQys8ZX8/7fPMZl3/8vP3ljY15GiZ8+EOW7/97CJfMn8LxTx+X88f2otqKUH76+kSt+9AAfuP0xbrvm7ILM8U8kU/zm4R18+97NHOju4/IzJ/PhF8/u354vTO8PRUWGn7zxLO7buI9kAXaeKS4yvGBO/kf4Cy1MmZCRUx7Cx/htAZZfNTU12ZUrV3ry3LFYjIoK7aMraYPJwxP7Onnb/65kd6SHL1w+n9c0Tc3Z81trecttD/Pwtlb+df1FTKw9vrL5qxVPceMf13L9C2fxvhfkb7qQtZb7Nu7jS//YwJPPdnPO9AY++dI5nD6l7pDb6f1BBlImxKU8BJMx5hFrbdPhrtOC1QBYsWKF1yWIjwwmD6eMG82f33M+Z0+v54Y71vD5v60nkaMDnf65dg8tm57lQy+afdw17pCe2vGKMyZx078288AT+/PyHGt3tfP6W1fwtv9dibVw8xvP4vbrzn1O4w56f5DnUibEpTyEj5p3kZCqqyzjf99yDtecN42fLtvGW257mPboyPYq7+yJ89m/rmPuxBre3By8PcVzwRjDly4/jRknVPP+3z7Kvo6enD327vYY1/9uNS///jI27O7gs5fN4+4PXsiL5k0I7DaQIiKSW2reA6C6OjgnJkr+DSUPJcVFfOayeXzlitN4cOsBLv/hf3ny2a5hP/e37t3Mvs5evnj5fEqKj9+3j6ryEn70+ka6e5O89zePjvi3Gl29Cb55zyae940W/rr6Ga67YAYtH3kebz5vGqXH+HfW+4MMpEyIS3kIH815HyQv57yL5MLD21t55y8eoS+Z4rtXncnzZg9toenaXe1c9v1lXL3wRL7wytPyVGWw3LlqJx/63WretfhkPvqSU4d8/0Qyxe8f2ck379nM/q5eXr5gEje8eDZTGyrzUK2IiASF5rwH3PLly70uQXxkuHk4e1oDf3nfIqbUV/K22x7mlqVbB30YTjJlufGPj9NQVcZHXjz0JjWsrmicwlXnTOVHLU9y38a9g76ftZb/bNrHpd+9n4/f+TjTxlTyx3efx/euOnPIjbveH2QgZUJcykP4qHkPgN7eXq9LEB8ZSR4m11Xwh3c18+J5E/jiPzZw/e9X0xM/9ul7v17xFKt3tvOpl82ltiJ8h9qMxKdfPo+5E2v44O2r2dkWPebtN+zu4E0/e4i3/PxhehMpfvT6Rn7/zmbOPLF+WM+v9wcZSJkQl/IQPmreRY4zlWUl/ODqRj548SzuXLWL19384FEXXe7r7OFrd21i0SljuWzBpAJWGgyjSov54esbSaUs7/n1o/QlDj//fW9HDzfcsZpLv3s/azI/CN37wYu45LSJWowqIiKDpjnvg+TlnPdEIkFJic7TkrRc5uGutbv54O2rqa0o5eY3nXXYrQjf/5tHuWvdHu7+wIVMH1uVk+cNo7vW7uadv1zFNedN4zOXzeu/PNqX4CdLtnLz0q0kUine3DyN9z1/JrWVufkNht4fZCBlQlzKQzBpznvAbd682esSxEdymYeXzJ/IH951HsVFhlf/eDl/fmzXIdcv3fwsf1n9DO9efLIa92N4yfyJvPX86dz2wHb+vmY3yZTldw/vYPHXW/jOv7fw/FPH8a8PXcQnXzY3Z4076P1BnkuZEJfyED5q3gNg3759XpcgPpLrPMydVMNf3ns+C6bW8T+/fYyv3bWRVMrSE0/yqT+vZfrYKt550ck5fc6w+tglp3LmiXV89A9reOl37+eGP6xhcn16ncEPXt/ISWNy/wOQ3h9kIGVCXMpD+Oj3KCLCmOpyfvm2hXz6L+v4YcuTbN7byfSxVTx1IMov37aQUaXFXpcYCGUlRXz/6kYu+94yuvsSfP/qM3mp5rSLiEgOac77IHk5533//v2MHTvWk+cW/8lnHqy1/OLBp/jsX9eTTFleccYkvvO6M/PyXGHW2RNnVGnxMQ9YygW9P8hAyoS4lIdgOtqcd428B4C2eRJXPvNgjOFNzdM45YRqfrniKT750rl5e64wGz2qcNtp6v1BBlImxKU8hI/mvAfAli1bvC5BfKQQeTjvlLH88PVnccLo8rw/l4yM3h9kIGVCXMpD+Kh5FxEREREJCDXvATB16lSvSxAfUR7EpTzIQMqEuJSH8FHzHgDjx4/3ugTxEeVBXMqDDKRMiEt5CB817wHg1S434k/Kg7iUBxlImRCX8hA+at5FRERERAJCzXsA1NTUeF2C+IjyIC7lQQZSJsSlPISPDmkaJC8PaRIRERGR48fRDmnSyHsALFu2zOsSxEeUB3EpDzKQMiEu5SF81LwHQCKR8LoE8RHlQVzKgwykTIhLeQgfNe8iIiIiIgGhOe+D5OWc91QqRVGRfs6SNOVBXMqDDKRMiEt5CCbNeQ+4devWeV2C+IjyIC7lQQZSJsSlPISPmvcAOHDggNcliI8oD+JSHmQgZUJcykP4qHkXEREREQkINe8BsGDBAq9LEB9RHsSlPMhAyoS4lIfwUfMeAJ2dnV6XID6iPIhLeZCBlAlxKQ/ho+Y9ALZu3ep1CeIjyoO4lAcZSJkQl/IQPmreRUREREQCQvu8D5Ix5lngKY+efiyw36PnFv9RHsSlPMhAyoS4lIdgOslae8LhrlDzHgDGmJVH2qhfjj/Kg7iUBxlImRCX8hA+mjYjIiIiIhIQat5FRERERAJCzXsw3Ox1AeIryoO4lAcZSJkQl/IQMprzLiIiIiISEBp5FxEREREJCDXvIiI+Z4yZaIy5yxijX5WK8iBynFPz7lPGmHHGmF8ZYzZl/txhjJnidV1SeMaYacaYLmPMY4f5U+d1fZJfxpgrgOXAyce4Xakx5vPGmI3GmLXGmAeMMYsKU6UUyhDysP0I7xkXF6ZSKQRjzBnGmFuMMRuMMY8bY9YbY75rjDlhwO2qjTHfz/QT640x9xhj5nlVt4xMidcFyHMZY8qAe4HNwDzAAj8D/mOMOdNa2+VlfeKJldbaxV4XIZ74KPBC4EbglKPc7nvA84HzrbXPGmOuBe4xxpxnrX0s/2VKgQw2D1hrzyhEQeKp3wLrgCZrbbcxZjLwb+AlxpgF1tpY5na/B0YDZ1pro8aYzwMtxpgzrLW7vCldhksj7/70ZuB04KPW2oS1Nkn6DXsG8C5PKxORQjvfWrvlaDcwxswGrgO+Yq19FsBaeyuwDfhi/kuUAjpmHuS481FrbTdAphH/OjATuBTAGPNC4CXA/7PWRjP3+TxQDHyi8OXKSKl596dXAU9ba7dmL7DW7gHWZ64TkeOEtTYxiJtdDhjgPwMuvw94kTGmOueFiScGmQc5fpxurX1iwGXPZL7WZ76+CogDy7I3sNb2Af9FPUUgqXn3p9NJj5gNtA04rcC1iD+MN8b80hjzkDFmszHm18YYZUGyTgdSwNMDLt9Genrk3IJXJJ4zxnwts/Zhc2aO82Ve1yS5lWnCB5pFerrt0szfTweeOcxtt5H+bBmXxxIlD9S8+9NYoPMwl3cAlcaYigLXI95KAgngJmvtOUAT6VGUFcaYsz2tTPxiLBDNTLFzdWS+jilwPeK9fcAqYBHptVN/Bv5sjHmvp1VJXhljioG3AT+11m7OXHy0ngL0/hA4at5FfM5au8Nae5q19pHM3zuAdwLdwJc8LU5EfMlae4619rfW2pS1Nm6t/QHwD+BLxphRXtcnefMp0oM7H/C4DskjNe/+tJ/0qvCBakiPrsUOc50cRzIZeBw41+taxBf2k/6tXPGAy2syXw8UuB7xpxWkP1u0RWAIGWPeArwGuCS7gDXjaD0F6P0hcNS8+9MaYNphLp9OumGT44gxpjazfehASdK7BYisIf1+PnXA5dNJT7laX/CKxDPGmIojLFLOTqvS+0bIGGPeCFwPPN9au2/A1WuASYf5HJkO7D3M7cXn1Lz7053AScaYadkLjDHjgTnAH7wqSjzzHQbsCJB5Ez6N9JxWkT+SXqC2eMDlzwPu0dkQx53XAt88zOVnAb3oh7lQMca8gfR20hdndqbDGPMyY8x1mZvcCZQC5zn3KQPORz1FIKl596fbSI+wf9UYU2KMKQK+Qnpl+I+8LEw88xFjzEToX5D0deAE4LOeViW+YK3dBNwMfNwYMxb6f4V+MunDfOT4c5W7oN0Y81rglcDX9MNceBhjXg/cQrpvuNgY84ZMM/9yYBKAtfYe4G7g88aYysxdbyT9mxitmwogY631ugY5jMxI+02kdxaxwFrgA9baHZ4WJgWX2RLyHcAFmYvGAhuAL1prB+7rLSFjjPk66RM1TyS9b/PqzFXnuFu/GWNKgU8Drya9YK0TuMFae39hK5Z8GkweMp8f1wGXkR5xrQPagB9Za28udM2SP8aYVg7u5z7QZ621n8ncrhr4KunsJIGdpHuKdYWoU3JLzbuIiIiISEBo2oyIiIiISECoeRcRERERCQg17yIiIiIiAaHmXUREREQkINS8i4iIiIgEhJp3EREREZGAUPMuIiIiIhIQat5FRERERAJCzbuISMgYY8YZYx4zxrQaY2zmv6/NXPcBY8wrPa7vlcaYDxzm8oWZms/xoCwRkUBQ8y4iEjLW2n3W2jOAv2T+foa19tbM1R8AXulNZf1eSbqOgbqBpzJfRUTkMEq8LkBERATAWrsWONPrOkRE/Ewj7yIixwFjzFRjzGPAJOCyzFSax4wxFzu3uc4Ys94Ys8kY86Qx5kvGmFLn+uxUnO3GmBcbY1qMMbsyU3PqjDFnGGNudx57lTHmzQPquBu4DJjk3O5jmcd7LPNYnxlwn/nGmL9lnnebMeYeY0yjc/07M3VbY8x7jDE3G2NWZ27/3vz8i4qIeEMj7yIixwFr7Q7gDGPMdqDFWnuNe70x5gbg88ALrLXLjDETgaXABOCtmcc4wxhzG3AFcAnwPKAC2Jp5mJcAvUCTtTZhjJkFPGCM6bTW3pl5jBdnHmNxZmqP625jjB1Q1ynAf4FbgJdba7PN/VJjTLO19nFr7Y+NMXcB24B3AK+w1m4zxlwH/NgYc6+1dtPw//VERPxDI+8iIsc5Y0wt8Gng99baZQDW2t3AN4FrjDHTB9xlNPAlmxYFmoEO4Dbg/dbaROYxNgP/At4+gvI+k/n6KWtttrH/Iul58V88zO3vs9Zuy/z3nYABLhrB84uI+IpG3kVEpBmoJD3C7VrLweZ3m3P5AWvtvuxfss2yMaYD+LAx5qWZx0sCJwLPjqC2i4F11tqY83xxY8yjwMXGGOM09QCbnf9uzXwdP4LnFxHxFTXvIiIyNvP1BmPMO5zLS4C9pEfaXV1HeJyfAYtJT4nZCJCdIjPC2h45zOWtpKfsVHLo7jTR7H9Ya1PGGIDiETy/iIivqHkXEZH9ma+fttb+33AewBhTAVwJ/DDbuOfIfqDhMJc3ADGcZl1E5HigOe8iIseXOOmpMBhjTjLGnAc8QHr0esHAGxtjfmaMmTeIxy0lPcJtB1w+4Rg1VBljLjvK4/4LmGeMqXRqKgHOAP41YMqMiEjoqXkXETm+bAOmZP77OuBaa20H6QWr1xpjFgKYtI+Q3nf9mCPpmce4H3iNMWZK5jHOA15whBrGGmPKgfOAbx/loT9L+geCz5vMHBjgE6Sn8tx4rLpERMLGaNBCRCRcjDHjgHtILxatB1YD37fW3mqMaSY9Nz1BerT9TZldYTDGvAX4EFBOejrKI8DHs4tTjTH/IT06Xw2sB26x1v7Aed6pwPeAc0kvHN1CeuT9hZnbv9Jauz1T3+3AZKCPdDPeC3w18/h7gYestZdlHnd+5rr5pBv5LcDHrLWPZK5/LekfPuYAO4CfAH8Efu083j3W2jfl4J9XRMRTat5FRERERAJC02ZERERERAJCzbuIiIiISECoeRcRERERCQg17yIiIiIiAaHmXUREREQkINS8i4iIiIgEhJp3EREREZGAUPMuIiIiIhIQat5FRERERAJCzbuIiIiISED8f5VkOT3qRtsiAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_item = \"Q1-anhar\"\n", + "true_value = -210e6\n", + "\n", + "fig = plt.figure(figsize=(12, 8))\n", + "ax = fig.add_subplot(111)\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(plot_item)\n", + "ax.axhline(y=true_value, color=\"red\", linestyle=\"--\")\n", + "ax.axhline(y=best_point_dict[plot_item], color=\"black\", linestyle=\"-.\")\n", + "ax.plot(data_df[plot_item])" + ] + }, { "cell_type": "markdown", "id": "dde3ede6", @@ -1113,6 +1449,48 @@ "### Qubit Frequency" ] }, + { + "cell_type": "code", + "execution_count": 39, + "id": "9a7e5955", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_item = \"Q1-freq\"\n", + "true_value = 5e9\n", + "\n", + "fig = plt.figure(figsize=(12, 8))\n", + "ax = fig.add_subplot(111)\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(plot_item)\n", + "ax.axhline(y=true_value, color=\"red\", linestyle=\"--\")\n", + "ax.axhline(y=best_point_dict[plot_item], color=\"black\", linestyle=\"-.\")\n", + "ax.plot(data_df[plot_item])" + ] + }, { "cell_type": "markdown", "id": "0effdf1e", @@ -1120,6 +1498,47 @@ "source": [ "### Goal Function" ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "54820b5a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_item = \"goal\"\n", + "\n", + "fig = plt.figure(figsize=(12, 8))\n", + "ax = fig.add_subplot(111)\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.axhline(y=best_point_dict[plot_item], color=\"black\", linestyle=\"-.\")\n", + "ax.set_ylabel(plot_item)\n", + "\n", + "ax.plot(data_df[plot_item])" + ] } ], "metadata": { From 636eb2260075e1244f638f10fdf5d25d3e81d5da Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 12:38:03 +0530 Subject: [PATCH 21/25] Update kernel spec to remove local sys info --- examples/Simulated_Model_Learning.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/Simulated_Model_Learning.ipynb b/examples/Simulated_Model_Learning.ipynb index 27a1abc7..ff716443 100644 --- a/examples/Simulated_Model_Learning.ipynb +++ b/examples/Simulated_Model_Learning.ipynb @@ -1543,9 +1543,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 64-bit ('c3-qopt': conda)", + "display_name": "Python 3", "language": "python", - "name": "python388jvsc74a57bd0d5cf14e4d9ab1ea025aa471aed46f344d1515a88cee97f484fbdd896922a10bf" + "name": "python3" }, "language_info": { "codemirror_mode": { From 341c13b593d0e7b9fd49c36ad99ef486721d3f54 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 09:36:48 +0200 Subject: [PATCH 22/25] notebook to rst for docs --- docs/Simulated_Model_Learning.rst | 855 ++++++++++++++++++++++++++++++ 1 file changed, 855 insertions(+) create mode 100644 docs/Simulated_Model_Learning.rst diff --git a/docs/Simulated_Model_Learning.rst b/docs/Simulated_Model_Learning.rst new file mode 100644 index 00000000..0437c781 --- /dev/null +++ b/docs/Simulated_Model_Learning.rst @@ -0,0 +1,855 @@ +Model Learning with :math:`C_3` +===================================================== + +In this notebook, we will use a dataset from a simulated experiment, +more specifically, the ``Simulated_calibration.ipynb`` example notebook +and perform Model Learning on a simple 1 qubit model. + +Imports +~~~~~~~ + +.. code:: python + + import pickle + from pprint import pprint + import copy + import numpy as np + import os + import ast + import pandas as pd + + from c3.model import Model as Mdl + from c3.c3objs import Quantity as Qty + from c3.parametermap import ParameterMap as PMap + from c3.experiment import Experiment as Exp + from c3.generator.generator import Generator as Gnr + import c3.signal.gates as gates + import c3.libraries.chip as chip + import c3.generator.devices as devices + import c3.libraries.hamiltonians as hamiltonians + import c3.signal.pulse as pulse + import c3.libraries.envelopes as envelopes + import c3.libraries.tasks as tasks + from c3.optimizers.c3 import C3 + +The Dataset +----------- + +We first take a look below at the dataset and its properties. To explore +more details about how the dataset is generated, please refer to the +``Simulated_calibration.ipynb`` example notebook. + +.. code:: python + + DATAFILE_PATH = "data/small_dataset.pkl" + +.. code:: python + + with open(DATAFILE_PATH, "rb+") as file: + data = pickle.load(file) + +.. code:: python + + data.keys() + + + + +.. parsed-literal:: + + dict_keys(['seqs_grouped_by_param_set', 'opt_map']) + + + +Since this dataset was obtained from an ORBIT +(`arXiv:1403.0035 `__) calibration +experiment, we have the ``opt_map`` which will tell us about the gateset +parameters being optimized. + +.. code:: python + + data["opt_map"] + + + + +.. parsed-literal:: + + [['rx90p[0]-d1-gauss-amp', + 'ry90p[0]-d1-gauss-amp', + 'rx90m[0]-d1-gauss-amp', + 'ry90m[0]-d1-gauss-amp'], + ['rx90p[0]-d1-gauss-delta', + 'ry90p[0]-d1-gauss-delta', + 'rx90m[0]-d1-gauss-delta', + 'ry90m[0]-d1-gauss-delta'], + ['rx90p[0]-d1-gauss-freq_offset', + 'ry90p[0]-d1-gauss-freq_offset', + 'rx90m[0]-d1-gauss-freq_offset', + 'ry90m[0]-d1-gauss-freq_offset'], + ['id[0]-d1-carrier-framechange']] + + + +This ``opt_map`` implies the calibration experiment focussed on +optimizing the amplitude, delta and frequency offset of the gaussian +pulse, along with the framechange angle + +Now onto the actual measurement data from the experiment runs + +.. code:: python + + seqs_data = data["seqs_grouped_by_param_set"] + +**How many experiment runs do we have?** + +.. code:: python + + len(seqs_data) + + + + +.. parsed-literal:: + + 41 + + + +**What does the data from each experiment look like?** + +We take a look at the first data point + +.. code:: python + + example_data_point = seqs_data[0] + +.. code:: python + + example_data_point.keys() + + + + +.. parsed-literal:: + + dict_keys(['params', 'seqs', 'results', 'results_std', 'shots']) + + + +These ``keys`` are useful in understanding the structure of the dataset. +We look at them one by one. + +.. code:: python + + example_data_point["params"] + + + + +.. parsed-literal:: + + [450.000 mV, -1.000 , -50.500 MHz 2pi, 4.084 rad] + + + +These are the parameters for our parameterised gateset, for the first +experiment run. They correspond to the optimization parameters we +previously discussed. + +The ``seqs`` key stores the sequence of gates that make up this ORBIT +calibration experiment. Each ORBIT sequence consists of a set of gates, +followed by a measurement operation. This is then repeated for some +``n`` number of shots (eg, ``1000`` in this case) and we only store the +averaged result along with the standard deviation of these readout +shots. Each experiment in turn consists of a number of these ORBIT +sequences. The terms *sequence*, *set* and *experiment* are used +somewhat loosely here, so we show below what these look like. + +**A single ORBIT sequence** + +.. code:: python + + example_data_point["seqs"][0] + + + + +.. parsed-literal:: + + ['ry90p[0]', + 'rx90p[0]', + 'rx90p[0]', + 'rx90m[0]', + 'ry90p[0]', + 'ry90p[0]', + 'rx90p[0]', + 'ry90p[0]', + 'rx90p[0]', + 'rx90p[0]', + 'ry90p[0]', + 'rx90m[0]', + 'rx90p[0]', + 'rx90p[0]', + 'ry90p[0]', + 'ry90p[0]', + 'rx90p[0]', + 'ry90p[0]', + 'ry90m[0]', + 'rx90p[0]', + 'rx90p[0]', + 'ry90m[0]', + 'rx90p[0]', + 'rx90p[0]', + 'rx90p[0]', + 'rx90p[0]'] + + + +**Total number of ORBIT sequences in an experiment** + +.. code:: python + + len(example_data_point["seqs"]) + + + + +.. parsed-literal:: + + 20 + + + +**Total number of Measurement results** + +.. code:: python + + len(example_data_point["results"]) + + + + +.. parsed-literal:: + + 20 + + + +**The measurement results and the standard deviation look like this** + +.. code:: python + + example_results = [ + (example_data_point["results"][i], example_data_point["results_std"][i]) + for i in range(len(example_data_point["results"])) + ] + +.. code:: python + + pprint(example_results) + + +.. parsed-literal:: + + [([0.745], [0.013783141876945182]), + ([0.213], [0.012947239087929134]), + ([0.137], [0.0108734079294396]), + ([0.224], [0.013184233007649706]), + ([0.434], [0.015673034167001616]), + ([0.105], [0.009694070352540258]), + ([0.214], [0.012969348480166613]), + ([0.112], [0.009972762907038352]), + ([0.318], [0.014726710426975877]), + ([0.122], [0.010349685985574633]), + ([0.348], [0.015063067416698366]), + ([0.122], [0.010349685985574633]), + ([0.558], [0.01570464899321217]), + ([0.186], [0.01230463327369004]), + ([0.096], [0.009315793041926168]), + ([0.368], [0.015250442616527561]), + ([0.146], [0.011166198995181842]), + ([0.121], [0.010313049985334118]), + ([0.748], [0.013729384545565035]), + ([0.692], [0.01459917805905524])] + + +The Model for Model Learning +---------------------------- + +An initial model needs to be provided, which we refine by fitting to our +calibration data. We do this below. If you want to learn more about what +the various components of the model mean, please refer back to the +``two_qubits.ipynb`` notebook or the documentation. + +Define Constants +~~~~~~~~~~~~~~~~ + +.. code:: python + + lindblad = False + dressed = True + qubit_lvls = 3 + freq = 5.001e9 + anhar = -210.001e6 + init_temp = 0 + qubit_temp = 0 + t_final = 7e-9 # Time for single qubit gates + sim_res = 100e9 + awg_res = 2e9 + sideband = 50e6 + lo_freq = 5e9 + sideband + +Model +~~~~~ + +.. code:: python + + q1 = chip.Qubit( + name="Q1", + desc="Qubit 1", + freq=Qty( + value=freq, + min_val=4.995e9, + max_val=5.005e9, + unit="Hz 2pi", + ), + anhar=Qty( + value=anhar, + min_val=-250e6, + max_val=-150e6, + unit="Hz 2pi", + ), + hilbert_dim=qubit_lvls, + temp=Qty(value=qubit_temp, min_val=0.0, max_val=0.12, unit="K"), + ) + + drive = chip.Drive( + name="d1", + desc="Drive 1", + comment="Drive line 1 on qubit 1", + connected=["Q1"], + hamiltonian_func=hamiltonians.x_drive, + ) + phys_components = [q1] + line_components = [drive] + + init_ground = tasks.InitialiseGround( + init_temp=Qty(value=init_temp, min_val=-0.001, max_val=0.22, unit="K") + ) + task_list = [init_ground] + model = Mdl(phys_components, line_components, task_list) + model.set_lindbladian(lindblad) + model.set_dressed(dressed) + +Generator +~~~~~~~~~ + +.. code:: python + + generator = Gnr( + devices={ + "LO": devices.LO(name="lo", resolution=sim_res, outputs=1), + "AWG": devices.AWG(name="awg", resolution=awg_res, outputs=1), + "DigitalToAnalog": devices.DigitalToAnalog( + name="dac", resolution=sim_res, inputs=1, outputs=1 + ), + "Response": devices.Response( + name="resp", + rise_time=Qty(value=0.3e-9, min_val=0.05e-9, max_val=0.6e-9, unit="s"), + resolution=sim_res, + inputs=1, + outputs=1, + ), + "Mixer": devices.Mixer(name="mixer", inputs=2, outputs=1), + "VoltsToHertz": devices.VoltsToHertz( + name="v_to_hz", + V_to_Hz=Qty(value=1e9, min_val=0.9e9, max_val=1.1e9, unit="Hz/V"), + inputs=1, + outputs=1, + ), + }, + chains={ + "d1": ["LO", "AWG", "DigitalToAnalog", "Response", "Mixer", "VoltsToHertz"] + }, + ) + generator.devices["AWG"].enable_drag_2() + +Gateset +~~~~~~~ + +.. code:: python + + gauss_params_single = { + "amp": Qty(value=0.45, min_val=0.4, max_val=0.6, unit="V"), + "t_final": Qty( + value=t_final, min_val=0.5 * t_final, max_val=1.5 * t_final, unit="s" + ), + "sigma": Qty(value=t_final / 4, min_val=t_final / 8, max_val=t_final / 2, unit="s"), + "xy_angle": Qty(value=0.0, min_val=-0.5 * np.pi, max_val=2.5 * np.pi, unit="rad"), + "freq_offset": Qty( + value=-sideband - 0.5e6, + min_val=-60 * 1e6, + max_val=-40 * 1e6, + unit="Hz 2pi", + ), + "delta": Qty(value=-1, min_val=-5, max_val=3, unit=""), + } + + gauss_env_single = pulse.Envelope( + name="gauss", + desc="Gaussian comp for single-qubit gates", + params=gauss_params_single, + shape=envelopes.gaussian_nonorm, + ) + nodrive_env = pulse.Envelope( + name="no_drive", + params={ + "t_final": Qty( + value=t_final, min_val=0.5 * t_final, max_val=1.5 * t_final, unit="s" + ) + }, + shape=envelopes.no_drive, + ) + carrier_parameters = { + "freq": Qty( + value=lo_freq, + min_val=4.5e9, + max_val=6e9, + unit="Hz 2pi", + ), + "framechange": Qty(value=0.0, min_val=-np.pi, max_val=3 * np.pi, unit="rad"), + } + carr = pulse.Carrier( + name="carrier", + desc="Frequency of the local oscillator", + params=carrier_parameters, + ) + + rx90p = gates.Instruction( + name="rx90p", t_start=0.0, t_end=t_final, channels=["d1"], targets=[0] + ) + QId = gates.Instruction( + name="id", t_start=0.0, t_end=t_final, channels=["d1"], targets=[0] + ) + + rx90p.add_component(gauss_env_single, "d1") + rx90p.add_component(carr, "d1") + QId.add_component(nodrive_env, "d1") + QId.add_component(copy.deepcopy(carr), "d1") + QId.comps["d1"]["carrier"].params["framechange"].set_value( + (-sideband * t_final) % (2 * np.pi) + ) + ry90p = copy.deepcopy(rx90p) + ry90p.name = "ry90p" + rx90m = copy.deepcopy(rx90p) + rx90m.name = "rx90m" + ry90m = copy.deepcopy(rx90p) + ry90m.name = "ry90m" + ry90p.comps["d1"]["gauss"].params["xy_angle"].set_value(0.5 * np.pi) + rx90m.comps["d1"]["gauss"].params["xy_angle"].set_value(np.pi) + ry90m.comps["d1"]["gauss"].params["xy_angle"].set_value(1.5 * np.pi) + +Experiment +~~~~~~~~~~ + +.. code:: python + + parameter_map = PMap( + instructions=[QId, rx90p, ry90p, rx90m, ry90m], model=model, generator=generator + ) + + exp = Exp(pmap=parameter_map) + +.. code:: python + + exp_opt_map = [[('Q1', 'anhar')], [('Q1', 'freq')]] + exp.pmap.set_opt_map(exp_opt_map) + +Optimizer +--------- + +.. code:: python + + datafiles = {"orbit": DATAFILE_PATH} # path to the dataset + run_name = "simple_model_learning" # name of the optimization run + dir_path = "ml_logs" # path to save the learning logs + algorithm = "cma_pre_lbfgs" # algorithm for learning + # this first does a grad-free CMA-ES and then a gradient based LBFGS + options = { + "cmaes": { + "popsize": 12, + "init_point": "True", + "stop_at_convergence": 10, + "ftarget": 4, + "spread": 0.05, + "stop_at_sigma": 0.01, + }, + "lbfgs": {"maxfun": 50, "disp": 0}, + } # options for the algorithms + sampling = "high_std" # how data points are chosen from the total dataset + batch_sizes = {"orbit": 2} # how many data points are chosen for learning + state_labels = { + "orbit": [ + [ + 1, + ], + [ + 2, + ], + ] + } # the excited states of the qubit model, in this case it is 3-level + +.. code:: python + + opt = C3( + datafiles=datafiles, + run_name=run_name, + dir_path=dir_path, + algorithm=algorithm, + options=options, + sampling=sampling, + batch_sizes=batch_sizes, + state_labels=state_labels, + pmap=exp.pmap, + ) + + opt.set_exp(exp) + +Model Learning +-------------- + +We are now ready to learn from the data and improve our model + +.. code:: python + + opt.run() + + +.. parsed-literal:: + + C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_59_07/model_learn.log + (6_w,12)-aCMA-ES (mu_w=3.7,w_1=40%) in dimension 2 (seed=125441, Wed Jun 30 08:59:07 2021) + C3:STATUS:Adding initial point to CMA sample. + Iterat #Fevals function value axis ratio sigma min&max std t[m:s] + 1 12 3.767977884544180e+00 1.0e+00 4.89e-02 4e-02 5e-02 0:31.1 + termination on ftarget=4 + final/bestever f-value = 3.767978e+00 3.767978e+00 + incumbent solution: [-0.22224933524057258, 0.17615005514516885] + std deviation: [0.0428319357676611, 0.04699011947850928] + C3:STATUS:Saving as: /home/users/anurag/c3/examples/ml_logs/simple_model_learning/2021_06_30_T_08_59_07/confirm.log + + +Result of Model Learning +~~~~~~~~~~~~~~~~~~~~~~~~ + +.. code:: python + + opt.current_best_goal + + + + +.. parsed-literal:: + + -0.031570491979011794 + + + +.. code:: python + + print(opt.pmap.str_parameters(opt.pmap.opt_map)) + + +.. parsed-literal:: + + Q1-anhar : -210.057 MHz 2pi + Q1-freq : 5.000 GHz 2pi + + + +Visualisation & Analysis of Results +----------------------------------- + +The Model Learning logs provide a useful way to visualise the learning +process and also understand what’s going wrong (or right). We now +process these logs to read some data points and also plot some +visualisations of the Model Learning process + +Open, Clean-up and Convert Logfiles +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +.. code:: python + + LOGDIR = opt.logdir + +.. code:: python + + logfile = os.path.join(LOGDIR, "model_learn.log") + with open(logfile, "r") as f: + log = f.readlines() + +.. code:: python + + params_names = [ + item for sublist in (ast.literal_eval(log[3].strip("\n"))) for item in sublist + ] + print(params_names) + + +.. parsed-literal:: + + ['Q1-anhar', 'Q1-freq'] + + +.. code:: python + + data_list_dict = list() + for line in log[9:]: + if line[0] == "{": + temp_dict = ast.literal_eval(line.strip("\n")) + for index, param_name in enumerate(params_names): + temp_dict[param_name] = temp_dict["params"][index] + temp_dict.pop("params") + data_list_dict.append(temp_dict) + +.. code:: python + + data_df = pd.DataFrame(data_list_dict) + +Summary of Logs +~~~~~~~~~~~~~~~ + +.. code:: python + + data_df.describe() + + + + +.. raw:: html + +
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    goalQ1-anharQ1-freq
    count24.0000002.400000e+012.400000e+01
    mean6.846330-2.084322e+085.000695e+09
    std7.9750919.620771e+064.833397e+05
    min-0.031570-2.141120e+084.999516e+09
    25%1.771696-2.113225e+085.000466e+09
    50%5.289741-2.100573e+085.000790e+09
    75%9.288638-2.092798e+085.001038e+09
    max37.919470-1.639775e+085.001476e+09
    +
    + + + +**Best Point** + +.. code:: python + + best_point_file = os.path.join(LOGDIR, 'best_point_model_learn.log') + +.. code:: python + + with open(best_point_file, "r") as f: + best_point = f.read() + best_point_log_dict = ast.literal_eval(best_point) + + best_point_dict = dict(zip(params_names, best_point_log_dict["optim_status"]["params"])) + best_point_dict["goal"] = best_point_log_dict["optim_status"]["goal"] + print(best_point_dict) + + +.. parsed-literal:: + + {'Q1-anhar': -210057285.60876995, 'Q1-freq': 5000081146.481342, 'goal': -0.031570491979011794} + + +Plotting +~~~~~~~~ + +We use ``matplotlib`` to produce the plots below. Please make sure you +have the same installed in your python environment. + +.. code:: python + + !pip install -q matplotlib + + +.. parsed-literal:: + + WARNING: You are using pip version 21.1.2; however, version 21.1.3 is available. + You should consider upgrading via the '/home/users/anurag/.conda/envs/c3-qopt/bin/python -m pip install --upgrade pip' command. + + +.. code:: python + + from matplotlib.ticker import MaxNLocator + from matplotlib import rcParams + from matplotlib import cycler + import matplotlib as mpl + import matplotlib.pyplot as plt + +.. code:: python + + rcParams["axes.grid"] = True + rcParams["grid.linestyle"] = "--" + + # enable usetex by setting it to True if LaTeX is installed + rcParams["text.usetex"] = False + rcParams["font.size"] = 16 + rcParams["font.family"] = "serif" + +**In the plots below, the blue line shows the progress of the parameter +optimization while the black and the red lines indicate the converged +and true value respectively** + +Qubit Anharmonicity +~~~~~~~~~~~~~~~~~~~ + +.. code:: python + + plot_item = "Q1-anhar" + true_value = -210e6 + + fig = plt.figure(figsize=(12, 8)) + ax = fig.add_subplot(111) + ax.set_xlabel("Iteration") + ax.set_ylabel(plot_item) + ax.axhline(y=true_value, color="red", linestyle="--") + ax.axhline(y=best_point_dict[plot_item], color="black", linestyle="-.") + ax.plot(data_df[plot_item]) + + + + +.. parsed-literal:: + + [] + + + + +.. image:: Simulated_Model_Learning_files/Simulated_Model_Learning_74_1.png + + +Qubit Frequency +~~~~~~~~~~~~~~~ + +.. code:: python + + plot_item = "Q1-freq" + true_value = 5e9 + + fig = plt.figure(figsize=(12, 8)) + ax = fig.add_subplot(111) + ax.set_xlabel("Iteration") + ax.set_ylabel(plot_item) + ax.axhline(y=true_value, color="red", linestyle="--") + ax.axhline(y=best_point_dict[plot_item], color="black", linestyle="-.") + ax.plot(data_df[plot_item]) + + + + +.. parsed-literal:: + + [] + + + + +.. image:: Simulated_Model_Learning_files/Simulated_Model_Learning_76_1.png + + +Goal Function +~~~~~~~~~~~~~ + +.. code:: python + + plot_item = "goal" + + fig = plt.figure(figsize=(12, 8)) + ax = fig.add_subplot(111) + ax.set_xlabel("Iteration") + ax.axhline(y=best_point_dict[plot_item], color="black", linestyle="-.") + ax.set_ylabel(plot_item) + + ax.plot(data_df[plot_item]) + + + + +.. parsed-literal:: + + [] + + + + +.. image:: Simulated_Model_Learning_files/Simulated_Model_Learning_78_1.png + From 143c5f30cb52c18ae56f309782d39d5f4f290e32 Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 09:37:17 +0200 Subject: [PATCH 23/25] images for model learning docs --- .../Simulated_Model_Learning_74_1.png | Bin 0 -> 31626 bytes .../Simulated_Model_Learning_76_1.png | Bin 0 -> 45902 bytes .../Simulated_Model_Learning_78_1.png | Bin 0 -> 35846 bytes 3 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 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zO9|~Z-$$9`kk~e{)}hSm1O)9}b+hg>S97a>560NdcOIX+*vuC#RUX0^G5pq;evy9X zlj#5SA`n0{+6mL4d-RGP092V)+o>rX$;d~KjIG?{Mu^Nb4YET;S zR$CPtW3om_@Sc$W7uYPpogVUfsuh5cO;;qy%f#@E180voS+nD1L;jd}K@v zq$8W5mSV|7mlGTNo0!HpR#nH68*#@=NWqwmqSNFCql?WlFf00#6`dBOWt*qOufgqv m&%`NkXQh4q|NJ0_%1ShqII Date: Wed, 30 Jun 2021 09:38:01 +0200 Subject: [PATCH 24/25] update title C^2 -> C_2 --- docs/Simulated_calibration.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/Simulated_calibration.rst b/docs/Simulated_calibration.rst index 932e002c..5a957411 100644 --- a/docs/Simulated_calibration.rst +++ b/docs/Simulated_calibration.rst @@ -1,4 +1,4 @@ -Simulated calibration with :math:`C^2` +Simulated calibration with :math:`C_2` ====================================== Calibration of control pulses is the process of fine-tuning parameters From 8dfd606f3d1f3412937f1b8250e93af60670c88b Mon Sep 17 00:00:00 2001 From: Anurag Saha Roy Date: Wed, 30 Jun 2021 09:38:30 +0200 Subject: [PATCH 25/25] incl model learning docs --- docs/index.rst | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/index.rst b/docs/index.rst index 4eda878c..43c71c47 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -31,6 +31,7 @@ When combined in sequence, these three procedures represent a recipe for system two_qubits optimal_control Simulated_calibration + Simulated_Model_Learning c3_qiskit_example c3