Reproduction of Zero Noise Extrapolation: Temme, Bravyi & Gambetta (PRL 119, 180509, 2017)

Full reproduction of the Zero Noise Extrapolation (ZNE) method from Temme, Bravyi & Gambetta (Physical Review Letters 119, 180509, 2017). Implemented from scratch using NumPy density matrix simulation with depolarizing noise channels. Covers: (1) gate folding for noise amplification U → UU†U, (2) Richardson extrapolation for zero-noise estimation, and (3) reproduction of Figures 1–3 from the original paper. Key finding documented: Richardson extrapolation reliably reduces error for base noise λ ≤ 0.02 but overshoots at λ ≥ 0.05 when amplified noise (5λ = 0.25) violates the perturbative Taylor expansion — consistent with the paper's stated NISQ hardware regime of λ ~ 0.001–0.01. All source code: https://github.com/aashiq-parinda/quantum-zne-reproduction21/21 unit tests passing.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-17
DOI
https://doi.org/10.5281/zenodo.21979332
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

Reproduction of Zero Noise Extrapolation: Temme, Bravyi & Gambetta (PRL 119, 180509, 2017)

Ashraf Khan
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Reproduction of Zero Noise Extrapolation: Temme, Bravyi & Gambetta (PRL 119, 180509, 2017)

Ashraf Khan
preprint en

Abstract

Full reproduction of the Zero Noise Extrapolation (ZNE) method from Temme, Bravyi & Gambetta (Physical Review Letters 119, 180509, 2017). Implemented from scratch using NumPy density matrix simulation with depolarizing noise channels. Covers: (1) gate folding for noise amplification U → UU†U, (2) Richardson extrapolation for zero-noise estimation, and (3) reproduction of Figures 1–3 from the original paper. Key finding documented: Richardson extrapolation reliably reduces error for base noise λ ≤ 0.02 but overshoots at λ ≥ 0.05 when amplified noise (5λ = 0.25) violates the perturbative Taylor expansion — consistent with the paper's stated NISQ hardware regime of λ ~ 0.001–0.01. All source code: https://github.com/aashiq-parinda/quantum-zne-reproduction21/21 unit tests passing.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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