Introductory tutorial on mid-circuit measurements

[dwierichs]

Title:
Introduction to mid-circuit measurements

Summary:
In this tutorial, we will dive into the basics of mid-circuit measurements with PennyLane. Readers will learn about

• basic measurement processes in quantum mechanics,
• the impact of a measurement on one- and two-qubit systems,
• postselection and qubit reset, and
• dynamic quantum circuits powered by conditional operations.

Relevant references:
See demo references and related content, in particular tutorial_how_to_collect_mcm_stats and tutorial_how_to_create_dynamic_mcm_circuits.

Possible Drawbacks:

Related GitHub Issues:

---

If you are writing a demonstration, please answer these questions to facilitate the marketing process.

• GOALS — Why are we working on this now?
  This tutorial promotes mid-circuit measurement functionality in PennyLane, which has been extended in recent releases.
  In addition, this tutorial is part of the broader goal of emphasizing MCMs and dynamic circuits in our contents.

• AUDIENCE — Who is this for?
  Beginners in PennyLane coding that want to learn about mid-circuit measurements

• KEYWORDS — What words should be included in the marketing post?

  • Mid-circuit measurements
  • Measurements in quantum mechanics
  • Dynamic circuits

• Which of the following types of documentation is most similar to your file?
  (more details here)

• Tutorial
• Demo
• How-to

[sc-60838]

[josh146]

Nice work @dwierichs 😎 Have done a conditional approval!

[ikurecic]

Thanks a lot for the message, @dwierichs !

I looked at it quickly and left some minor comments — this will be a useful short Demo to have, nice work.
Like I mentioned, if the marketing is already all arranged and this is going live today, then you'd just have to rebase so the merge goes to main instead of dev.