Neutron Scattering Tutorial Function + AQC Function Template

[pdd23001]

Summary

@henryzou50 Please review whenever you get the chance!

Internal links converted to root-relative in both notebooks. /docs/guides/serverless,
/docs/guides/intro-to-patterns, /docs/guides/error-mitigation-and-suppression-techniques,
/docs/api/qiskit/qiskit.quantum_info.SparsePauliOp,
/docs/api/qiskit-ibm-runtime/qiskit-runtime-service#save_account,
/docs/tutorials/simulate-neutron-scattering, and
/learning/courses/utility-scale-quantum-computing/quantum-simulation. The two notebooks also
cross-link each other by docs path rather than by filename. GitHub and arXiv links stay
absolute, as do the https://quantum.cloud.ibm.com dashboard links (matching how the other
guides do it).

Registration. I've added entries to docs/tutorials/_toc.json and docs/tutorials/index.mdx
for the tutorial. The template notebook is a guide rather than a tutorial, so it also needed
docs/guides/_toc.json (under "Qiskit Function templates", alongside the chemistry and
Hamiltonian simulation templates) and a version-info cell, which check-for-version-info-cells
requires for docs/guides/*.ipynb. I put the template notebook in guides since other templates were there as well

Notebook testing. Both are in [groups.exclude] in scripts/config/notebook-testing.toml,
with a comment noting they need saved credentials and a deployed Qiskit Function, so they can't
run in CI. Same treatment as docs/tutorials/simulate-neutron-scattering.ipynb and
docs/guides/function-template-hamiltonian-simulation.ipynb.

qiskit_bot.yaml — needs your input. I've listed only myself as the owner of both pages,
since I didn't want to add anyone else's handle without asking. Happy to add reviewers or SMEs;
just tell me who should be on there. For reference, the sibling pages list @kevinsung and
@nathanearnestnoble for the neutron scattering tutorial, and @jenglick, @garrison,
@beckykd for the Hamiltonian simulation template.

Checks. ./check passes all 8. I also ran check:katex-render (clean) and
check:stale-images (clean). Note the diff includes 4 extracted plot images under
public/docs/images/tutorials/..., which the notebook normalizer pulled out of the notebook
outputs.

Hardware Example Outputs in the template notebook in guides are left will soon put them in!

[qiskit-bot]

Thanks for contributing to Qiskit documentation!

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. Thanks! 🙌

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

• @kevinsung
• @nathanearnestnoble

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