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Title: Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor

Abstract

The successful implementation of algorithms on quantum processors relies on the accurate control of quantum bits (qubits) to perform logic gate operations. In this era of noisy intermediate-scale quantum (NISQ) computing, systematic miscalibrations, drift, and crosstalk in the control of qubits can lead to a coherent form of error that has no classical analog. Coherent errors severely limit the performance of quantum algorithms in an unpredictable manner, and mitigating their impact is necessary for realizing reliable quantum computations. Moreover, the average error rates measured by randomized benchmarking and related protocols are not sensitive to the full impact of coherent errors and therefore do not reliably predict the global performance of quantum algorithms, leaving us unprepared to validate the accuracy of future large-scale quantum computations. Randomized compiling is a protocol designed to overcome these performance limitations by converting coherent errors into stochastic noise, dramatically reducing unpredictable errors in quantum algorithms and enabling accurate predictions of algorithmic performance from error rates measured via cycle benchmarking. In this work, we demonstrate significant performance gains under randomized compiling for the four-qubit quantum Fourier transform algorithm and for random circuits of variable depth on a superconducting quantum processor. Additionally, we accurately predict algorithm performance usingmore » experimentally measured error rates. Our results demonstrate that randomized compiling can be utilized to leverage and predict the capabilities of modern-day noisy quantum processors, paving the way forward for scalable quantum computing.« less

Authors:
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Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); U.S. Army Small Business Technology Transfer Program Office; Army Research Office (ARO); National Defense Science & Engineering Graduate (NDSEG)
OSTI Identifier:
1832513
Alternate Identifier(s):
OSTI ID: 1863925
Grant/Contract Number:  
AC02-05CH11231; W911NF-19-P-0007
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 11 Journal Issue: 4; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum algorithms; quantum benchmarking; quantum control; quantum information with solid state qubits

Citation Formats

Hashim, Akel, Naik, Ravi K., Morvan, Alexis, Ville, Jean-Loup, Mitchell, Bradley, Kreikebaum, John Mark, Davis, Marc, Smith, Ethan, Iancu, Costin, O’Brien, Kevin P., Hincks, Ian, Wallman, Joel J., Emerson, Joseph, and Siddiqi, Irfan. Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor. United States: N. p., 2021. Web. doi:10.1103/PhysRevX.11.041039.
Hashim, Akel, Naik, Ravi K., Morvan, Alexis, Ville, Jean-Loup, Mitchell, Bradley, Kreikebaum, John Mark, Davis, Marc, Smith, Ethan, Iancu, Costin, O’Brien, Kevin P., Hincks, Ian, Wallman, Joel J., Emerson, Joseph, & Siddiqi, Irfan. Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor. United States. https://doi.org/10.1103/PhysRevX.11.041039
Hashim, Akel, Naik, Ravi K., Morvan, Alexis, Ville, Jean-Loup, Mitchell, Bradley, Kreikebaum, John Mark, Davis, Marc, Smith, Ethan, Iancu, Costin, O’Brien, Kevin P., Hincks, Ian, Wallman, Joel J., Emerson, Joseph, and Siddiqi, Irfan. Wed . "Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor". United States. https://doi.org/10.1103/PhysRevX.11.041039.
@article{osti_1832513,
title = {Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor},
author = {Hashim, Akel and Naik, Ravi K. and Morvan, Alexis and Ville, Jean-Loup and Mitchell, Bradley and Kreikebaum, John Mark and Davis, Marc and Smith, Ethan and Iancu, Costin and O’Brien, Kevin P. and Hincks, Ian and Wallman, Joel J. and Emerson, Joseph and Siddiqi, Irfan},
abstractNote = {The successful implementation of algorithms on quantum processors relies on the accurate control of quantum bits (qubits) to perform logic gate operations. In this era of noisy intermediate-scale quantum (NISQ) computing, systematic miscalibrations, drift, and crosstalk in the control of qubits can lead to a coherent form of error that has no classical analog. Coherent errors severely limit the performance of quantum algorithms in an unpredictable manner, and mitigating their impact is necessary for realizing reliable quantum computations. Moreover, the average error rates measured by randomized benchmarking and related protocols are not sensitive to the full impact of coherent errors and therefore do not reliably predict the global performance of quantum algorithms, leaving us unprepared to validate the accuracy of future large-scale quantum computations. Randomized compiling is a protocol designed to overcome these performance limitations by converting coherent errors into stochastic noise, dramatically reducing unpredictable errors in quantum algorithms and enabling accurate predictions of algorithmic performance from error rates measured via cycle benchmarking. In this work, we demonstrate significant performance gains under randomized compiling for the four-qubit quantum Fourier transform algorithm and for random circuits of variable depth on a superconducting quantum processor. Additionally, we accurately predict algorithm performance using experimentally measured error rates. Our results demonstrate that randomized compiling can be utilized to leverage and predict the capabilities of modern-day noisy quantum processors, paving the way forward for scalable quantum computing.},
doi = {10.1103/PhysRevX.11.041039},
journal = {Physical Review. X},
number = 4,
volume = 11,
place = {United States},
year = {Wed Nov 24 00:00:00 EST 2021},
month = {Wed Nov 24 00:00:00 EST 2021}
}

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