Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits

Urbanek, Miroslav; Nachman, Benjamin; Pascuzzi, Vincent R.; He, Andre; Bauer, Christian W.; de Jong, Wibe A.

doi:10.1103/physrevlett.127.270502

Title: Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits

Abstract

A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We present a method to mitigate the depolarizing noise by first estimating its rate with a noise-estimation circuit and then correcting the output of the target circuit using the estimated rate. The method is experimentally validated on a simulation of the Heisenberg model. We find that our approach in combination with readout-error correction, randomized compiling, and zero-noise extrapolation produces close to exact results even for circuits containing hundreds of CNOT gates. We also show analytically that zero-noise extrapolation is improved when it is applied to the output of our method.

Authors:

^[1];

^[1]; Pascuzzi, Vincent R. ^[1]; He, Andre ^[1]; Bauer, Christian W. ^[1]; de Jong, Wibe A. ^[1]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: Mon Dec 27 00:00:00 EST 2021

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1773720

Alternate Identifier(s):: OSTI ID: 1922812

Grant/Contract Number:: AC02-05CH11231; KA2401032; AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 127; Journal Issue: 27; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Urbanek, Miroslav, Nachman, Benjamin, Pascuzzi, Vincent R., He, Andre, Bauer, Christian W., and de Jong, Wibe A. Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevlett.127.270502.

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                    Urbanek, Miroslav, Nachman, Benjamin, Pascuzzi, Vincent R., He, Andre, Bauer, Christian W., & de Jong, Wibe A. Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits.  United States.  https://doi.org/10.1103/physrevlett.127.270502

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                    Urbanek, Miroslav, Nachman, Benjamin, Pascuzzi, Vincent R., He, Andre, Bauer, Christian W., and de Jong, Wibe A. Mon .  
"Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits".  United States.  https://doi.org/10.1103/physrevlett.127.270502.  https://www.osti.gov/servlets/purl/1773720.

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@article{osti_1773720,

  title        = {Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits},

  author       = {Urbanek, Miroslav and Nachman, Benjamin and Pascuzzi, Vincent R. and He, Andre and Bauer, Christian W. and de Jong, Wibe A.},

  abstractNote = {A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We present a method to mitigate the depolarizing noise by first estimating its rate with a noise-estimation circuit and then correcting the output of the target circuit using the estimated rate. The method is experimentally validated on a simulation of the Heisenberg model. We find that our approach in combination with readout-error correction, randomized compiling, and zero-noise extrapolation produces close to exact results even for circuits containing hundreds of CNOT gates. We also show analytically that zero-noise extrapolation is improved when it is applied to the output of our method.},

  doi          = {10.1103/physrevlett.127.270502},

  journal      = {Physical Review Letters},

  number       = 27,

  volume       = 127,

  place        = {United States},

  year         = {Mon Dec 27 00:00:00 EST 2021},

  month        = {Mon Dec 27 00:00:00 EST 2021}

}

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Title: Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits

Abstract

Citation Formats

Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography journal, April 2020

On the product of semi-groups of operators journal, April 1959

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Effects of gate errors in digital quantum simulations of fermionic systems journal, August 2018

Mitigating algorithmic errors in a Hamiltonian simulation journal, January 2019

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Error-mitigated quantum gates exceeding physical fidelities in a trapped-ion system journal, January 2020

Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor journal, November 2021

Quantum Computation and Quantum Information book, January 2011

Error detection on quantum computers improving the accuracy of chemical calculations journal, August 2020

Noise tailoring for scalable quantum computation via randomized compiling journal, November 2016

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Error Mitigation for Short-Depth Quantum Circuits journal, November 2017

A variational eigenvalue solver on a photonic quantum processor journal, July 2014

Error-Mitigated Digital Quantum Simulation journal, May 2019

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Zero-noise extrapolation for quantum-gate error mitigation with identity insertions journal, July 2020

Controlling error orientation to improve quantum algorithm success rates journal, March 2019

Mitigating Realistic Noise in Practical Noisy Intermediate-Scale Quantum Devices journal, March 2021

Reconstructing the ideal results of a perturbed analog quantum simulator journal, April 2018

Experimental error mitigation via symmetry verification in a variational quantum eigensolver journal, July 2019

Cloud Quantum Computing of an Atomic Nucleus journal, May 2018

Experimental Pauli-frame randomization on a superconducting qubit journal, April 2021

Mitigating measurement errors in multiqubit experiments journal, April 2021

Accounting for errors in quantum algorithms via individual error reduction journal, January 2019

Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets journal, September 2017

Benchmarking noise extrapolation with the OpenPulse control framework journal, April 2020

Quantum-classical hybrid algorithm using an error-mitigating N -representability condition to compute the Mott metal-insulator transition journal, August 2019

Practical Quantum Error Mitigation for Near-Future Applications journal, July 2018

Quantum computation with universal error mitigation on a superconducting quantum processor journal, September 2019

Error mitigation extends the computational reach of a noisy quantum processor journal, March 2019

Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction text, January 2020

Error mitigation with Clifford quantum-circuit data text, January 2020

Noise Mitigation with Delay Pulses in the IBM Quantum Experience text, January 2020

Mitigating measurement errors in multi-qubit experiments text, January 2020

Simulating quench dynamics on a digital quantum computer with data-driven error mitigation journal, July 2021

Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer text, January 2022

Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
journal, April 2020

On the product of semi-groups of operators
journal, April 1959

Recovering noise-free quantum observables
journal, January 2019

Mitigating coherent noise using Pauli conjugation
journal, February 2020

Simulating quantum many-body dynamics on a current digital quantum computer
journal, November 2019

Unfolding quantum computer readout noise
journal, September 2020

Low-cost error mitigation by symmetry verification
journal, December 2018

Effects of gate errors in digital quantum simulations of fermionic systems
journal, August 2018

Mitigating algorithmic errors in a Hamiltonian simulation
journal, January 2019

Constructing Smaller Pauli Twirling Sets for Arbitrary Error Channels
journal, August 2019

Noise Mitigation with Delay Pulses in the IBM Quantum Experience
conference, October 2020

Error-mitigated quantum gates exceeding physical fidelities in a trapped-ion system
journal, January 2020

Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor
journal, November 2021

Quantum Computation and Quantum Information
book, January 2011

Error detection on quantum computers improving the accuracy of chemical calculations
journal, August 2020

Noise tailoring for scalable quantum computation via randomized compiling
journal, November 2016

Simple mitigation of global depolarizing errors in quantum simulations
journal, September 2021

Error Mitigation for Short-Depth Quantum Circuits
journal, November 2017

A variational eigenvalue solver on a photonic quantum processor
journal, July 2014

Error-Mitigated Digital Quantum Simulation
journal, May 2019

Quantum Poker—a game for quantum computers suitable for benchmarking error mitigation techniques on NISQ devices
journal, April 2020

Efficient Variational Quantum Simulator Incorporating Active Error Minimization
journal, June 2017

Quantum Computing in the NISQ era and beyond
journal, August 2018

Zero-noise extrapolation for quantum-gate error mitigation with identity insertions
journal, July 2020

Controlling error orientation to improve quantum algorithm success rates
journal, March 2019

Mitigating Realistic Noise in Practical Noisy Intermediate-Scale Quantum Devices
journal, March 2021

Reconstructing the ideal results of a perturbed analog quantum simulator
journal, April 2018

Experimental error mitigation via symmetry verification in a variational quantum eigensolver
journal, July 2019

Cloud Quantum Computing of an Atomic Nucleus
journal, May 2018

Experimental Pauli-frame randomization on a superconducting qubit
journal, April 2021

Mitigating measurement errors in multiqubit experiments
journal, April 2021

Accounting for errors in quantum algorithms via individual error reduction
journal, January 2019

Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
journal, September 2017

Benchmarking noise extrapolation with the OpenPulse control framework
journal, April 2020

Quantum-classical hybrid algorithm using an error-mitigating $N$ -representability condition to compute the Mott metal-insulator transition
journal, August 2019

Practical Quantum Error Mitigation for Near-Future Applications
journal, July 2018

Quantum computation with universal error mitigation on a superconducting quantum processor
journal, September 2019

Error mitigation extends the computational reach of a noisy quantum processor
journal, March 2019

Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
text, January 2020

Error mitigation with Clifford quantum-circuit data
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Noise Mitigation with Delay Pulses in the IBM Quantum Experience
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Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer
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