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Improved clifford-T pipeline (#15625)

* initial experiment

* Adding filter_fn argument to Collect1qRuns and Collect2qBlocks

* Initial implementation

* cleanup

* experiment

* Further improving Clifford+T pipeline

* adding approximation_degree; fix test

* improve CliffordTOpt

* fixing failing tests

* fixes

* update header

* SynthesizeRZRotations pass (WIP)

* formatting fixes

* suggested changes to synthesize_rz_rotations.rs

* changes to synthesize_rz_rotations.py

* changes to synthesize_rz_rotations.py

* changes to release notes

* change tau to two_pi

* added more functions for canonicalization and included code for reusing synthesis of same angles

* canonical representation corrections

* removes square brackets

* added a param test

* angle approximation logic implemented and epsilon reduced

* documentation added and epsilon modified to approximation degree

* added more tests

* change to t_count test

* fix lint and doc issues

* empty-commit-deleted-empty-lines-to-rerun-checks

* lint fixes

* header changes

* typo correct

* reorder pass import in init file

* add to autosummary

* documentation corrections

* epsilon-related modifications

* edited comments

* release note correction

* make clippy happy

* minor test edits

* documentation corrections

* improve angle canonicalization test

* lint fix

* Restructuring the Clifford+T code: fully separating Clifford+T compilation
from the standard (near-term) compilation.

* tuning of Clifford+T pipeline

* fix to CircuitData vs PyCircuitData after merge-with-main

* update to loop condition + ruff

* Updating equivalence library with better decompositions of T/Tdg gates in terms of each other

This also required adding Z = Sdg Sdg (in addition to the existing Z = S S).

* Tuning Clifford+T pipeline

The translation to Clifford+T now uses all Clifford+T gates, and the loop in
the optimization stage now optimizes Clifford+T circuits. The post-loop
contains translation to the ... (continued)

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Source Files on job 23305251615.1