Quantum computer error structure probed by quantum error correction syndrome measurements

Fuente: arXiv
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Autori principali: Gicev, Spiro, Hollenberg, Lloyd C. L., Usman, Muhammad
Natura: Preprint
Pubblicazione: 2023
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author Gicev, Spiro
Hollenberg, Lloyd C. L.
Usman, Muhammad
author_facet Gicev, Spiro
Hollenberg, Lloyd C. L.
Usman, Muhammad
contents With quantum devices rapidly approaching qualities and scales needed for fault tolerance, the validity of simplified error models underpinning the study of quantum error correction needs to be experimentally evaluated. In this work, we have assessed the performance of IBM superconducting quantum computer devices implementing heavy-hexagon code syndrome measurements with increasing circuit sizes up to 23 qubits, against the error assumptions underpinning code threshold calculations. Circuit operator change rate statistics in the presence of depolarizing and biased noise were modelled using analytic functions of error model parameters. Data from 16 repeated syndrome measurement cycles was found to be inconsistent with a uniform depolarizing noise model, favouring instead biased and inhomogeneous noise models. Spatial-temporal correlations investigated via $Z$ stabilizer measurements revealed significant temporal correlation in detection events. These results highlight the non-trivial structure which may be present in the noise of quantum error correction circuits, revealed by operator measurement statistics, and support the development of noise-tailored codes and decoders to adapt.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12448
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum computer error structure probed by quantum error correction syndrome measurements
Gicev, Spiro
Hollenberg, Lloyd C. L.
Usman, Muhammad
Quantum Physics
With quantum devices rapidly approaching qualities and scales needed for fault tolerance, the validity of simplified error models underpinning the study of quantum error correction needs to be experimentally evaluated. In this work, we have assessed the performance of IBM superconducting quantum computer devices implementing heavy-hexagon code syndrome measurements with increasing circuit sizes up to 23 qubits, against the error assumptions underpinning code threshold calculations. Circuit operator change rate statistics in the presence of depolarizing and biased noise were modelled using analytic functions of error model parameters. Data from 16 repeated syndrome measurement cycles was found to be inconsistent with a uniform depolarizing noise model, favouring instead biased and inhomogeneous noise models. Spatial-temporal correlations investigated via $Z$ stabilizer measurements revealed significant temporal correlation in detection events. These results highlight the non-trivial structure which may be present in the noise of quantum error correction circuits, revealed by operator measurement statistics, and support the development of noise-tailored codes and decoders to adapt.
title Quantum computer error structure probed by quantum error correction syndrome measurements
topic Quantum Physics
url https://arxiv.org/abs/2310.12448