Remove fake backends based on BackendV1 and related tools

[ElePT]

Summary

This PR branches off #13793 and contains the changes related to the fake backend removal. This PR is built on top of #13722 and currently blocked by it.

Details and comments

TODOs:

• remove stray prints
• fix benchmarking test
• fix visualization tests
• reno

[coveralls]

Pull Request Test Coverage Report for Build 13242579073

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.

• For more information on this, see Tracking coverage changes with pull request builds.
• To avoid this issue with future PRs, see these Recommended CI Configurations.
• For a quick fix, rebase this PR at GitHub. Your next report should be accurate.

Details

• 265 of 276 (96.01%) changed or added relevant lines in 12 files are covered.
• 994 unchanged lines in 40 files lost coverage.
• Overall coverage decreased (-1.1%) to 87.206%

---

Changes Missing Coverage	Covered Lines	Changed/Added Lines	%
qiskit/circuit/add_control.py	20	21	95.24%
crates/accelerate/src/unitary_synthesis.rs	120	124	96.77%
crates/accelerate/src/two_qubit_decompose.rs	104	110	94.55%

Files with Coverage Reduction	New Missed Lines	%
qiskit/pulse/schedule.py	1	88.24%
qiskit/result/distributions/quasi.py	1	97.96%
qiskit/pulse/library/symbolic_pulses.py	1	94.82%
qiskit/pulse/instructions/acquire.py	1	89.13%
qiskit/utils/units.py	1	93.55%
qiskit/pulse/instructions/instruction.py	1	94.57%
crates/accelerate/src/unitary_synthesis.rs	1	93.4%
qiskit/primitives/backend_estimator_v2.py	1	97.71%
qiskit/transpiler/preset_passmanagers/builtin_plugins.py	1	95.69%
qiskit/pulse/library/waveform.py	1	97.83%

Totals
Change from base Build 13204846880:	-1.1%
Covered Lines:	77268
Relevant Lines:	88604

---

💛 - Coveralls

[qiskit-bot]

One or more of the following people are relevant to this code:

• @enavarro51
• @Qiskit/terra-core
• @ajavadia
• @levbishop
• @nkanazawa1989
• @t-imamichi