Lectures & Tutorials
Primer on Pauli Twirling, Part III
Part of the series Primer on Pauli Twirling (tutorial); cited as one entry below.
This part covers why twirling works. It starts with how a Pauli gate acts on a mixed state, links that action to the Walsh-Hadamard transform and the symplectic product, and moves to the superoperator picture with vectorization and the Pauli transfer matrix. Twirling then appears as an element-wise mask on the channel's PTM, with a closing pointer to designs.
- Pauli decomposition of qubit mixed states and conjugation by Pauli gates
- Walsh-Hadamard structure and the symplectic product in Z2 notation
- Vectorization identity, superoperators, and the Pauli transfer matrix
- Twirling as averaging masks applied element-wise to the PTM
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}
}Reuse
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