Exponential Error Suppression for Near-Term Quantum Devices

Suppressing noise in physical systems is of fundamental importance. As quantum computers mature, quantum error correcting codes (QECs) will be adopted in order to suppress errors to any desired level. However in the noisy, intermediate-scale quantum (NISQ) era, the complexity and scale required to a...

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Autor principal: Bálint Koczor
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Publicado: American Physical Society 2021
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spelling oai:doaj.org-article:2a82ebd32f9f4a35934110228a9ad3a52021-12-02T15:02:25ZExponential Error Suppression for Near-Term Quantum Devices10.1103/PhysRevX.11.0310572160-3308https://doaj.org/article/2a82ebd32f9f4a35934110228a9ad3a52021-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031057http://doi.org/10.1103/PhysRevX.11.031057https://doaj.org/toc/2160-3308Suppressing noise in physical systems is of fundamental importance. As quantum computers mature, quantum error correcting codes (QECs) will be adopted in order to suppress errors to any desired level. However in the noisy, intermediate-scale quantum (NISQ) era, the complexity and scale required to adopt even the smallest QEC is prohibitive: a single logical qubit needs to be encoded into many thousands of physical qubits. Here we show that, for the crucial case of estimating expectation values of observables (key to almost all NISQ algorithms) one can indeed achieve an effective exponential suppression. We take n independently prepared circuit outputs to create a state whose symmetries prevent errors from contributing bias to the expected value. The approach is very well suited for current and near-term quantum devices as it is modular in the main computation and requires only a shallow circuit that bridges the n copies immediately prior to measurement. Using no more than four circuit copies, we confirm error suppression below 10^{−6} for circuits consisting of several hundred noisy gates (2-qubit gate error 0.5%) in numerical simulations validating our approach.Bálint KoczorAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031057 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Bálint Koczor
Exponential Error Suppression for Near-Term Quantum Devices
description Suppressing noise in physical systems is of fundamental importance. As quantum computers mature, quantum error correcting codes (QECs) will be adopted in order to suppress errors to any desired level. However in the noisy, intermediate-scale quantum (NISQ) era, the complexity and scale required to adopt even the smallest QEC is prohibitive: a single logical qubit needs to be encoded into many thousands of physical qubits. Here we show that, for the crucial case of estimating expectation values of observables (key to almost all NISQ algorithms) one can indeed achieve an effective exponential suppression. We take n independently prepared circuit outputs to create a state whose symmetries prevent errors from contributing bias to the expected value. The approach is very well suited for current and near-term quantum devices as it is modular in the main computation and requires only a shallow circuit that bridges the n copies immediately prior to measurement. Using no more than four circuit copies, we confirm error suppression below 10^{−6} for circuits consisting of several hundred noisy gates (2-qubit gate error 0.5%) in numerical simulations validating our approach.
format article
author Bálint Koczor
author_facet Bálint Koczor
author_sort Bálint Koczor
title Exponential Error Suppression for Near-Term Quantum Devices
title_short Exponential Error Suppression for Near-Term Quantum Devices
title_full Exponential Error Suppression for Near-Term Quantum Devices
title_fullStr Exponential Error Suppression for Near-Term Quantum Devices
title_full_unstemmed Exponential Error Suppression for Near-Term Quantum Devices
title_sort exponential error suppression for near-term quantum devices
publisher American Physical Society
publishDate 2021
url https://doaj.org/article/2a82ebd32f9f4a35934110228a9ad3a5
work_keys_str_mv AT balintkoczor exponentialerrorsuppressionforneartermquantumdevices
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