Quantum Error Mitigation: Lectures at the Boulder School for Condensed Matter and Materials Physics

Happy to share my first lecture on "Quantum Error Mitigation for Non-Equilibrium Quantum Dynamics on Quantum Computers" at the Boulder School for Condensed Matter and Materials Physics.

Let's dive into the world of Quantum Computing and Quantum Dynamics.

In our journey with quantum computers, we tackle a couple of essential questions: why these machines? What's their current status and future? Here, 'noise' or errors become a real concern, and that's why we need error mitigation.

Error mitigation, essentially our tool to reduce quantum noise, becomes quite critical. A fundamental way to do this is through 'Probabilistic Error Cancellation' (PEC). PEC is pretty simple, and we can understand it by taking the basic example of one qubit.

But we don't stop there, because we know the quantum world isn't that simple. So we take this further into a general derivation, diving deeper into understanding how to combat errors. So, in the big picture, we're not just exploring quantum computers, but we're finding ways to make them work more efficiently.

Videos

Links to the YouTube video recordings of lectures 1, 2, and 3:

Lecture 1 on Quantum error mitigation by Zlatko Minev at the Boulder School for Condensed Matter and Materials Physics

Lecture 2 on Quantum error mitigation by Zlatko Minev at the Boulder School for Condensed Matter and Materials Physics

Lecture 3 on Quantum error mitigation by Zlatko Minev at the Boulder School for Condensed Matter and Materials Physics

Slides

Main lectures

• Lecture 1

• Lecture 2

• Lecture 3

Bonus content archive on the Boulder School website:

1. Minev, Zlatko. Bonus - Cheat Sheet for QC T11.7.

2. Minev, Zlatko. Bonus - Cheat Sheet Tail Bounds T11.9.

3. Minev, Zlatko. Bonus - Pauli Twirling Tutorial - Part I.

4. Minev, Zlatko. Bonus - Pauli Twirling Tutorial - Part II.

5. Minev, Zlatko. Bonus - Pauli Twirling Tutorial - Part III.

6. Minev, Zlatko. Bonus - Pauli Twirling Tutorial - Part IV.

7. Minev, Zlatko. Derivation - PEC 1Q simple (C65B).

8. Minev, Zlatko. Derivation - PEC full derivation (C65C).
   
   

Notes about the summer school

Main site: https://boulderschool.yale.edu/2023/boulder-school-2023

Scientific Coordinators:

• Anushya Chandran (Boston University)

• Matthew Fisher (UCSB)

• Vedika Khemani (Stanford)

• Sagar Vijay (UCSB)

Director:

• Leo Radzihovsky (CU Boulder)

Useful links:

• Follow and subscribe to the BSS YouTube Channel BSS Physics School.

• Lecture notes and videos: https://boulderschool.yale.edu/2023/boulder-school-2023-lecture-notes

• Posters: https://boulderschool.yale.edu/2023/student-poster-sessions

Lecturers and seminar speakers:

Victor Albert (NIST and University of Maryland)
Ehud Altman (Berkeley)
Immanuel Bloch (LMU/MPQ)
Anushya Chandran (Boston University)
Steve Girvin (Yale)
Sarang Gopalakrishnan (Princeton)
Tarun Grover (UCSD)
David Huse (Princeton)
Liang Jiang (U. Chicago)
Vedika Khemani (Stanford)
Aleksander Kubica (Caltech)
Zlatko Minev (IBM)
Crystal Noel (Duke)
Frank Pollmann (TUM)
Giulia Semeghini (Harvard)
Romain Vasseur (UMass  Amherst)
Sagar Vijay (UCSB)
Marko Znidaric (University of Ljubljana)