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Use SampleMPs in dynamic_one_shot (#5486)
### Before submitting Please complete the following checklist when submitting a PR: - [x] All new features must include a unit test. If you've fixed a bug or added code that should be tested, add a test to the test directory! - [x] All new functions and code must be clearly commented and documented. If you do make documentation changes, make sure that the docs build and render correctly by running `make docs`. - [x] Ensure that the test suite passes, by running `make test`. - [x] Add a new entry to the `doc/releases/changelog-dev.md` file, summarizing the change, and including a link back to the PR. - [x] The PennyLane source code conforms to [PEP8 standards](https://www.python.org/dev/peps/pep-0008/). We check all of our code against [Pylint](https://www.pylint.org/). To lint modified files, simply `pip install pylint`, and then run `pylint pennylane/path/to/file.py`. When all the above are checked, delete everything above the dashed line and fill in the pull request template. ------------------------------------------------------------------------------------------------------------ **Context:** The native MCM workflow breaks the device API where a sequence of MeasurementProcess objects is expected in the output. **Description of the Change:** Introduce SampleMPs in the auxiliary tape. Pass the mid_measurements dictionary around simulate and sampling to return the correct sample measurements. Modify the dynamic_one_shot transform post-processing function accordingly. **Benefits:** Conform to current API. Road to jax.jit support. **Possible Drawbacks:** Ad hoc post-processing required in measure_with_samples. **Related GitHub Issues:** [sc-60945] --------- Co-authored-by: Christina Lee <christina@xanadu.ai>
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