Lectures & Tutorials
Cheat Sheet: Pictorial Digital Quantum Circuits, T11.7 (bonus)
Part of the series Intro to Quantum Noise (QGSS 2023).
Also published as a tech note; please cite that.
A pictorial reference for digital quantum circuits: the standard notation for wires, gates, controls, swaps and measurements, followed by a set of identities with short explanations. Useful as a quick lookup when pushing Paulis through Hadamard, S and CNOT gates, as is done in twirling and noise analysis.
- Notation for quantum and classical wires, Bell pairs, controlled gates, swaps and measurements
- Pauli basis changes under H and S, and the Pauli decomposition with its phase
- CNOT propagation rules: X travels forward from control to target, Z travels backward
- Relations between cX, cY and cZ and products of multiple CNOTs
Summary and key points drafted by a language model from the slides, not yet reviewed by me. The slides are the source.
Cite
@techreport{minevndt117,
author = {Zlatko K. Minev},
title = {{Pictorial Digital Quantum Circuits}},
type = {Technical Note},
number = {T11.7},
institution = {Zlatko's Quantum Notebook},
url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/items/t11-7-pictorial-digital-quantum-circuits/}
}Reuse
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