Quantum Error Mitigation, Lecture 1

Part of the series Quantum Error Mitigation (Boulder Summer School 2023); cited as one entry below.

Given at a summer school on non-equilibrium quantum dynamics, this lecture motivates quantum simulation on superconducting processors, shows how noise corrupts a simple qubit-flip experiment, and distinguishes error mitigation from error correction. It then develops probabilistic error cancellation from a one-qubit bit-flip model through quasi-probability sampling, setting up later lectures on noise learning, twirling and T-REX.

• Status of superconducting quantum computers and the out-of-equilibrium spin-lattice simulation task
• Coherent, incoherent and projection noise in a depth-d X-gate experiment
• Overview of mitigation methods (ZNE, PEC) and their trade-offs against error correction
• PEC derivation: non-physical inverse noise maps, quasi-probabilities and sampling overhead

Summary and key points drafted by a language model from the slides, not yet reviewed by me. The slides are the source.

Cite

@misc{minev2023quantumerrormitigation,
  author = {Zlatko K. Minev},
  title = {{Quantum Error Mitigation (Boulder Summer School 2023)}},
  howpublished = {Lecture series, Boulder Summer School},
  year = {2023},
  url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/series/quantum-error-mitigation-boulder-summer-school-2023/},
  note = {Slides, 7 decks}
}

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