Refactor Krylov tutorial

[frankharkins]

This tutorial was originally created in IBM-Quantum-Technical-Enablement/quantum-enablement#11. Part of #1166.

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✅ abbycross
✅ frankharkins
❌ miamico
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[Eric-Arellano]

Maybe we need a blocklist mechanism for notebooks that completely fail? It'd be best to not try to fix the notebook in this PR, but we also don't want CI to be red.

[frankharkins]

I think @abbycross will be working on this branch, so we can fix it in this PR

[abbycross]

Hi @miamico! I've gone through to do voice/style edits on this tutorial, and am trying to run the notebook. The code throws an error in Step 3 - can you see what's going on?

[Eric-Arellano]

Hi @miamico! I've gone through to do voice/style edits on this tutorial, and am trying to run the notebook. The code throws an error in Step 3 - can you see what's going on?

Is it that the notebook is using 11 qubits? We're trying to run this notebook with our 5-qubit simulator in CI, but if it requires 11 qubits, that won't work. If this notebook can't be rewritten to work with the 5-qubit simulator, then we need to update notebooks.toml to move it from notebooks_that_submit_jobs to instead notebooks_no_mock. It's desirable to allow us to mock it if possible so that we get more CI validation.

[miamico]

I'm working on a version of this notebook that will be using the hardware at utility scale. I'd hold off any further work on this version based on the simulator

[abbycross]

I'm working on a version of this notebook that will be using the hardware at utility scale. I'd hold off any further work on this version based on the simulator

@miamico ok thanks!!