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Update MCX recursive synthesis method to reduce number of CX gates  (#12772)

* Optimization for the MCX Recursive Gate

Change the recursive method for the Lemma 9 of arXiv:1501.06911, first shown in Lemma 7.3 of https://link.aps.org/doi/10.1103/PhysRevA.52.3457

Co-Authored-By: Rafaella Vale <26910380+rafaella-vale@users.noreply.github.com>
Co-Authored-By: Jefferson Deyvis <67497412+jeffersondeyvis@users.noreply.github.com>

* Revert "Optimization for the MCX Recursive Gate"

This reverts commit 507d5b3a8.

Co-Authored-By: Rafaella Vale <26910380+rafaella-vale@users.noreply.github.com>
Co-Authored-By: Jefferson Deyvis <67497412+jeffersondeyvis@users.noreply.github.com>

* Revert "Revert "Optimization for the MCX Recursive Gate""

This reverts commit 4671b7e32.

* Optimization for MCX Recursive

Fixing co-authors

Co-Authored-By: Rafaella Vale <26910380+rafaella-vale@users.noreply.github.com>
Co-Authored-By: Jefferson Deyvis <67497412+jeffersondeyvis@users.noreply.github.com>
Co-Authored-By: Adenilton Silva <7927558+adjs@users.noreply.github.com>

* Optimization of MCX Recursive

Now with fixed co-authors

Co-Authored-By: Rafaella Vale <26910380+rafaella-vale@users.noreply.github.com>
Co-Authored-By: Jefferson Deyvis <67497412+jeffersondeyvis@users.noreply.github.com>
Co-Authored-By: Adenilton Silva <7927558+adjs@users.noreply.github.com>

* refactored MCXRecursive and unused method deleted

* fixed qasm string for mcx test with variants

* remove draw

* fix qasm file in test_circuit_qasm_with_mcx_gate_variants

* update the MCXRecursive class docstring

* add a test of the upper bound limit of the number of CX gates

* fix failing qasm test

* fix qasm file in test_export in qasm2 tests

* fix format lint errors in qasm strings

* add release notes

* update references format

* update release notes after review

---------

Co-authored-by: Thiago Melo <thiagomdazevedo@hotmail.com>
Co-aut... (continued)

65804 of 73184 relevant lines covered (89.92%)

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Source Files on job 9976077291.1