Lectures & Tutorials
Primer on Pauli Twirling, Part II
Part of the series Primer on Pauli Twirling (tutorial); cited as one entry below.
The theory half of a Pauli-twirling primer. It works through twirling a single-qubit channel by averaging over Pauli conjugations, showing that a bit-flip channel is left unchanged while a coherent rotation is turned into a stochastic Pauli channel with a diagonal Pauli transfer matrix. A coherent over-rotation example shows the error accumulating linearly, rather than quadratically, with the number of repetitions once it is twirled.
- Twirling as an average over Pauli-conjugated instances of a channel
- Bit-flip channel example: invariant under the Pauli twirl
- Coherent rotation channel: chi matrix, Pauli transfer matrix, and its diagonalization by twirling
- Twirling a general single-qubit channel, with a refresher on Paulis and mixed states
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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