Investigate Possible Numerical Instability in 2q and 3q analytical decompositions

[NoureldinYosri]

After adding two_qubit_matrix_to_cz_operations and three_qubit_matrix_to_operations as base cases for quantum_shannon_decomposition, some tests started to become flaky #6765. The tests pass with new versions of numpy and fail with older versions. For now I marked those tests with xfail until we are in state where we run tests with only newer numpy versions. however there might be some numerical instabilities in those methods that we may be able to fix.

[RahilJain1366]

Hi, I would like to take this up.

[NoureldinYosri]

@RahilJain1366 thanks for offering to help. I assigned the task to you

[RahilJain1366]

Thank you @NoureldinYosri for assigning it me. I wanted to confirm my understanding. I need to replicate the two_qubit_matrix_to_cz_operations and three_qubit_matrix_to_operations on quantum_shannon_decomposition in an older version of numpy? Am I right?

[NoureldinYosri]

this is a start ... see if you can use an old version of numpy to make the tests marked in #6767 fail ... then if you can propose a fix

[dv8081]

@NoureldinYosri Could you please assign me to this issue as well?

[mhucka]

@RahilJain1366 For planning purposes, could you let us know the status of this? Are you still working on this?