Add confusion map support to Pauli Measurement Gate

[Akshita07]

Fixes #5571

This PR adds confusion map support for Pauli Measurement Gate. (Similar to confusion map support added to Measurement Gate in #5480)

[github-actions]

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[github-actions]

This pull request has been automatically labeled as stale because 90 days have passed without comments or other activity. If no further activity occurs and the status/stale label is not removed by a maintainer within 60 days, this pull request will be closed. If you would like to restore its active status, please leave a comment here; doing so will cause the staleness handler to remove the label.

If you have questions or feedback about this process, we welcome your input. You can open a new issue to let us know (please also reference this issue there, for continuity), or reach out to the project maintainers at quantum-oss-maintainers@google.com.

[github-actions]

This pull request has been automatically labeled as stale because 90 days have passed without comments or other activity. If no further activity occurs and the status/stale label is not removed by a maintainer within 60 days, this pull request will be closed. If you would like to restore its active status, please leave a comment here; doing so will cause the staleness handler to remove the label.

If you have questions or feedback about this process, we welcome your input. You can open a new issue to let us know (please also reference this issue there, for continuity), or reach out to the project maintainers at quantum-oss-maintainers@google.com.

[github-actions]

This pull request has been automatically labeled as stale because 90 days have passed without activity. If no further activity occurs and the status/stale label is not removed by a maintainer within 60 days, this pull request will be closed. If you want to keep the pull request open, leave a comment here and the status will be updated automatically.

If you have questions or feedback about this process, please open a new issue in this repository to let us know. You can also send email to the maintainers at quantum-oss-maintainers@google.com.