Primer on Pauli Twirling, Part IV

Part of the series Primer on Pauli Twirling (tutorial); cited as one entry below.

Part of a primer on Pauli twirling covering its optional advanced material and a noise-modeling refresher. Classical spherical designs motivate unitary t-designs and where they appear (average fidelity, RB, random twirling); noise is then written as a Pauli channel, a process (chi) matrix and a Pauli transfer matrix, with amplitude damping shown raw and twirled.

• Overview of the twirling primer: operational twirling, why it works, why the Pauli group
• Classical spherical designs as intuition for unitary t-designs and their uses
• Noise models: Pauli channels, chi-matrix representation and Pauli transfer matrix elements
• Amplitude damping applied repeatedly, with and without twirling

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

Cite

@misc{minev2022primerpaulitwirling,
  author = {Zlatko K. Minev},
  title = {{Primer on Pauli Twirling (tutorial)}},
  howpublished = {Lecture series},
  year = {2022},
  url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/series/primer-on-pauli-twirling-tutorial/},
  note = {Slides, 4 decks}
}

Copy BibTeX

Reuse