[burgholzer]

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Description

Qiskit gives parameter-bound circuit copies a new name. Preserve the input name before preprocessing so Result.get_counts(original_circuit) works after dictionary or positional backend binding. The input circuit remains unbound and unchanged. This restores the existing result-lookup contract and needs no migration or dependency change.

Validation: all 223 Qiskit plugin tests passed independently on Qiskit 2.5.2 and 2.6.1; full repository lint passed. The new lookup assertions fail against the unmodified backend for both backend-binding forms and pass with this fix. Reviewed the binding, preprocessing, job-header and result-lookup paths.

AI assistance: Codex prepared, reviewed and tested this patch. Maintainer review is pending.

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.
• 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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