Repetition codes experiment extension

[rdputteribm]

Changed the tutorial into a quantum memory experiment with multiple cycles of error correction, as discussed with @nathanearnestnoble .

Also brought the tutorial (more) in line with the tutorial template.

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[henryzou50]

Overall this tutorial update looks great, and thanks for the changes! A few notes:

Structure vs. template: Having only a large-scale hardware example here is fine, but per the template, I believe should still include both the ## Small-scale simulator example and ## Large-scale hardware example headers, with a brief explanation under the small-scale section about why we're skipping the simulator example in this case, similar to how we did it for other tutorials.

Tutorial Survey: The link is correct, but most of the other updated tutorials don't include this section. Probably fine to keep, just flagging for consistency.

I pushed some minor changes for grammar, typos, and consistency, but otherwise great job!

[rdputteribm]

Hi @henryzou50 ,
Thanks a lot for your review!

Structure vs. template: Having only a large-scale hardware example here is fine, but per the template, I believe should still include both the ## Small-scale simulator example and ## Large-scale hardware example headers, with a brief explanation under the small-scale section about why we're skipping the simulator example in this case, similar to how we did it for other tutorials.

I am happy to add an empty simulator header + explanation if that is preferred (I realize it's inthe template), but would have a slight preference for keeping it simple and just keep leaving it out. What is an example of a tutorial that does not do a small-scale simulator run, but still has a header for it?

Tutorial Survey: The link is correct, but most of the other updated tutorials don't include this section. Probably fine to keep, just flagging for consistency.

Good catch. Since the survey is not in the template, let me just remove it.

[henryzou50]

What is an example of a tutorial that does not do a small-scale simulator run, but still has a header for it?

@rdputteribm Good question, there's a clean example for this. combine-error-mitigation-techniques keeps the ## Small-scale simulator example header but skips the actual run, with just a one-line explanation of why:

Small-scale simulator example

We will forgo this step since runtime error mitigation is not supported on simulators.

It then continues straight into the ## Large-scale hardware example section.

Given that, I'd lean toward following the template here: keep both the ## Small-scale simulator example and ## Large-scale hardware example headers, and add a brief note under the small-scale one explaining why we skip the simulator in this case. It keeps us consistent with the template and the other tutorials while staying minimal.