[simon1hofmann]

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Description

Compiling a circuit that was already mirrored now preserves mirror=True in its generation metadata and export header. Previously, the default compilation argument overwrote that flag with False, even though the circuit remained a mirror.

The regression test covers all four abstraction levels, checks the output state and exported settings, and verifies that the input metadata stays unchanged. No new dependencies or migration steps.

Validation: full test suite on Qiskit 2.2.3 and 2.6.0 (703 passed and 4 existing expected failures on each); uvx nox -s lint.

AI assistance: Codex helped implement and test these MQT Bench fixes and prepare this description.

Checklist

• The pull request only contains commits that are focused and relevant to this change.
• I have added appropriate tests that cover the new/changed functionality.
• I have updated the documentation to reflect these changes.
• I have added entries to the changelog for any noteworthy additions, changes, fixes, or removals.
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• The changes follow the project's style guidelines and introduce no new warnings.
• The changes are fully tested and pass the CI checks.
• I have reviewed my own code changes.

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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