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[Prototype] Efficient Graph-based Decomposition with Dijkstra's Algorithm #6302

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[Prototype] Efficient Graph-based Decomposition with Dijkstra's Algorithm #6302

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  • Implements a DecompositionLibrary that holds different potential decompositions for operators.
  • Implements a DecompositionGraph that solves the graph traversal problem using Dijkstra's algorithm to find the most efficient decomposition paths for all operators in the graph.

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Hello. You may have forgotten to update the changelog!
Please edit doc/releases/changelog-dev.md with:

  • A one-to-two sentence description of the change. You may include a small working example for new features.
  • A link back to this PR.
  • Your name (or GitHub username) in the contributors section.

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