Qiskit / qiskit / 19706858572

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Converting RX/RY/RZ rotations to {Clifford,T,Tdg} (#15321)

* initial functions for converting rotations to {Clifford,T,Tdg}

* add transpiler pass run_discretize_rotations

* formatting

* add to pyext

* add python discrete rotations transpiler pass

* fix comment

* consider further angles

* add a test

* add more tests

* change tolerance to fidelity based

* add approximation_degree

* add transpiler pass to doc

* add release notes

* handle ngative angles

* change files names

* change files names

* enhance tests following review

* update rust code following review

* update doscstring following review

* update release notes, add example

* minor fix

* updtae 2*pi/8 --> pi/4, add explanations

* simplify tests

* add global_phase to tests

* add more docs

* update release notes following review

* enhance tests following review, handle approximation_degree

* replace PI8 by FRAC_PI_8

* refactor: DiscretizeRotations --> SubstitutePi4Rotations

* fix misprint

* update code to use static lookup tables

* update comment following review

* enhance documnetation following review

* fix docs

* more docs fixes

* replace candiate for loop by iterator

* move angle check to candidates iterator

* update comment

* simplify FRAC_PI_8 multiples

73 of 78 new or added lines in 6 files covered. (93.59%)

94506 of 106892 relevant lines covered (88.41%)

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