Propagate DAGCircuit.name in ApplyLayout (backport #13910)

[mergify]

This has always been absent, but transpile masked the problem by assigning the output circuit names by overwriting the output_names input kwarg if it wasn't set. generate_preset_pass_manager didn't have the same logic, so it was observable that ApplyLayout didn't propagate the name.

We could have added similar name-propagation logic to generate_preset_pass_manager, but really the bug is in ApplyLayout; passes should propagate the metadata.

Summary

Details and comments

---

This is an automatic backport of pull request #13910 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 29aa2bd has failed:

On branch mergify/bp/stable/1.4/pr-13910
Your branch is up to date with 'origin/stable/1.4'.

You are currently cherry-picking commit 29aa2bd7b.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	modified:   qiskit/transpiler/passes/layout/apply_layout.py
	new file:   releasenotes/notes/fix-pm-name-36baa550ce5d9c2c.yaml
	modified:   test/python/compiler/test_transpiler.py

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   test/python/transpiler/test_preset_passmanagers.py

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally

[qiskit-bot]

Thank you for opening a new pull request.

Before your PR can be merged it will first need to pass continuous integration tests and be reviewed. Sometimes the review process can be slow, so please be patient.

While you're waiting, please feel free to review other open PRs. While only a subset of people are authorized to approve pull requests for merging, everyone is encouraged to review open pull requests. Doing reviews helps reduce the burden on the core team and helps make the project's code better for everyone.

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

• @Qiskit/terra-core

[coveralls]

Pull Request Test Coverage Report for Build 13525152901

Details

• 1 of 1 (100.0%) changed or added relevant line in 1 file are covered.
• 5 unchanged lines in 3 files lost coverage.
• Overall coverage increased (+0.02%) to 88.856%

---

Files with Coverage Reduction	New Missed Lines	%
crates/accelerate/src/unitary_synthesis.rs	1	93.21%
crates/qasm2/src/expr.rs	1	94.02%
crates/qasm2/src/lex.rs	3	92.48%

Totals
Change from base Build 13512573070:	0.02%
Covered Lines:	79391
Relevant Lines:	89348

---

💛 - Coveralls