fixes #9355 deprecate visualize_transition

[YingHongTham]

Fixes #9355

Summary

Addresses #9355 #9355, request to deprecate visualize_transition;
visualize_transition is the sole export of the module qiskit.visualization.transition_visualization,
so the entire module is deprecated as well.

Details and comments

Tentative plan to migrate visualize_transition to somewhere in https://qiskit.org/ecosystem/, probably QuSTaR/kaleidoscope
No tests existed before, no tests added.

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[YingHongTham]

Applied changes as suggested

[mtreinish]

This LGTM thanks a ton for doing this. I left a few inline suggestions that I just applied mainly normalizing the deprecation message to be consistent with other deprecations and updated the release note language.

[coveralls]

Pull Request Test Coverage Report for Build 10110162437

Warning: This coverage report may be inaccurate.

This pull request's base commit is no longer the HEAD commit of its target branch. This means it includes changes from outside the original pull request, including, potentially, unrelated coverage changes.

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Details

• 2 of 2 (100.0%) changed or added relevant lines in 1 file are covered.
• 1723 unchanged lines in 139 files lost coverage.
• Overall coverage increased (+0.1%) to 89.733%

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Files with Coverage Reduction	New Missed Lines	%
qiskit/qobj/common.py	1	95.83%
qiskit/circuit/library/standard_gates/swap.py	1	98.18%
qiskit/converters/circuit_to_gate.py	1	97.44%
qiskit/circuit/library/standard_gates/r.py	1	97.73%
qiskit/primitives/backend_sampler.py	1	98.86%
qiskit/synthesis/evolution/lie_trotter.py	1	96.77%
qiskit/circuit/library/generalized_gates/permutation.py	1	92.86%
qiskit/circuit/library/standard_gates/rxx.py	1	97.56%
qiskit/circuit/library/standard_gates/u2.py	1	96.88%
qiskit/primitives/base/base_estimator.py	1	97.3%

Totals
Change from base Build 9134495129:	0.1%
Covered Lines:	66689
Relevant Lines:	74319

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💛 - Coveralls

[ElePT]

LGTM