Tech Notes
Probabilistic Error Cancellation: Paper Notes
Tabulates the symbols used in PEC with sparse Pauli-Lindblad models: layers, model coefficients, Pauli fidelities, the fitting matrix built from symplectic products, the noise channel and its inverse, and the sampling overhead gamma. It then answers a common question, how many random circuit instances are needed for a given error bound and confidence, with a plot of shots against overhead.
- Pauli-Lindblad generator, noise channel, and its quasi-probability inverse
- Sampling overhead gamma per layer and across layers
- Fitting model coefficients from Pauli fidelities via the symplectic-product matrix
- Number of circuit instances N vs. error bound, confidence, and gamma
Summary and key points drafted by a language model from the slides, not yet reviewed by me. The slides are the source.
Cite
@techreport{minevndt23,
author = {Zlatko K. Minev},
title = {{Probabilistic Error Cancellation: Paper Notes}},
type = {Technical Note},
number = {T23},
institution = {Zlatko's Quantum Notebook},
url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/items/t23-probabilistic-error-cancellation-paper-notes/}
}Reuse
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