Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer

We develop and apply an extension of the randomized compiling (RC) protocol that includes a special treatment of neighboring qubits and dramatically reduces crosstalk effects caused by the application of faulty gates on superconducting qubits in IBMQ quantum computers (ibm_lagos and ibmq_ehningen)....

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Main Authors: Hugo Perrin, Thibault Scoquart, Alexander Shnirman, Jörg Schmalian, Kyrylo Snizhko
Format: Article
Language:English
Published: American Physical Society 2024-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.013142
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author Hugo Perrin
Thibault Scoquart
Alexander Shnirman
Jörg Schmalian
Kyrylo Snizhko
author_facet Hugo Perrin
Thibault Scoquart
Alexander Shnirman
Jörg Schmalian
Kyrylo Snizhko
author_sort Hugo Perrin
collection DOAJ
description We develop and apply an extension of the randomized compiling (RC) protocol that includes a special treatment of neighboring qubits and dramatically reduces crosstalk effects caused by the application of faulty gates on superconducting qubits in IBMQ quantum computers (ibm_lagos and ibmq_ehningen). Crosstalk errors, stemming from controlled-not (cnot) two-qubit gates, are a crucial source of errors on numerous quantum computing platforms. For the IBMQ machines, their effect on the performance of a given quantum computation is often overlooked. Our RC protocol turns coherent noise due to crosstalk into a depolarizing noise channel that can then be treated using established error mitigation schemes, such as noise estimation circuits. We apply our approach to the quantum simulation of the nonequilibrium dynamics of the Bardeen-Cooper-Schrieffer (BCS) Hamiltonian for superconductivity, a particularly challenging model to simulate on quantum hardware because of the long-range interaction of Cooper pairs. With 135 cnot gates, we work in a regime where crosstalk, as opposed to either Trotterization or qubit decoherence, dominates the error. Our twirling of neighboring qubits is shown to dramatically improve the noise estimation protocol without the need to add new qubits or circuits and allows for a quantitative simulation of the BCS model.
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spelling doaj.art-4a472555a85d46389454762613de8c332024-04-12T17:38:57ZengAmerican Physical SocietyPhysical Review Research2643-15642024-02-016101314210.1103/PhysRevResearch.6.013142Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computerHugo PerrinThibault ScoquartAlexander ShnirmanJörg SchmalianKyrylo SnizhkoWe develop and apply an extension of the randomized compiling (RC) protocol that includes a special treatment of neighboring qubits and dramatically reduces crosstalk effects caused by the application of faulty gates on superconducting qubits in IBMQ quantum computers (ibm_lagos and ibmq_ehningen). Crosstalk errors, stemming from controlled-not (cnot) two-qubit gates, are a crucial source of errors on numerous quantum computing platforms. For the IBMQ machines, their effect on the performance of a given quantum computation is often overlooked. Our RC protocol turns coherent noise due to crosstalk into a depolarizing noise channel that can then be treated using established error mitigation schemes, such as noise estimation circuits. We apply our approach to the quantum simulation of the nonequilibrium dynamics of the Bardeen-Cooper-Schrieffer (BCS) Hamiltonian for superconductivity, a particularly challenging model to simulate on quantum hardware because of the long-range interaction of Cooper pairs. With 135 cnot gates, we work in a regime where crosstalk, as opposed to either Trotterization or qubit decoherence, dominates the error. Our twirling of neighboring qubits is shown to dramatically improve the noise estimation protocol without the need to add new qubits or circuits and allows for a quantitative simulation of the BCS model.http://doi.org/10.1103/PhysRevResearch.6.013142
spellingShingle Hugo Perrin
Thibault Scoquart
Alexander Shnirman
Jörg Schmalian
Kyrylo Snizhko
Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
Physical Review Research
title Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
title_full Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
title_fullStr Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
title_full_unstemmed Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
title_short Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
title_sort mitigating crosstalk errors by randomized compiling simulation of the bcs model on a superconducting quantum computer
url http://doi.org/10.1103/PhysRevResearch.6.013142
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