Introduction to Noise and Quantum Error Mitigation, Lecture 1

Part of the series Intro to Noise Mitigation (Summer School 2024); cited as one entry below.

Opens with the status of quantum computers and a real-device 'qubit flipper' experiment that shows how noise distorts results, then contrasts error correction with error mitigation and places ZNE and PEC on a speed-versus-accuracy landscape. The second half is a worked introduction to PEC: why a noise channel cannot be inverted physically, how a quasi-probability decomposition implements the inverse on average, and what it costs in sampling overhead.

• Coherent, incoherent and projection noise seen in a simple depth-d X-gate circuit
• Error mitigation vs. error correction: benefits, quantum and classical costs, limitations
• Bit-flip toy model: unraveling noise into quantum trajectories and why the inverse map is unphysical
• PEC sampling overhead γ, sign-weighted estimators, and a random-walk analogy for 'cancelling noise with noise'

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

Cite

@misc{minev2024noisemitigationsummer,
  author = {Zlatko K. Minev},
  title = {{Intro to Noise Mitigation (Summer School 2024)}},
  howpublished = {Lecture series, Near-Term Quantum Algorithms Summer School},
  year = {2024},
  url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/series/intro-to-noise-mitigation-summer-school-2024/},
  note = {Slides, 2 decks}
}

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