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Quantum error mitigation relying on permutation filtering

Quantum error mitigation relying on permutation filtering
Quantum error mitigation relying on permutation filtering

Quantum error mitigation (QEM) is a class of promising techniques capable of reducing the computational error of variational quantum algorithms tailored for current noisy intermediate-scale quantum computers. The recently proposed permutation-based methods are practically attractive, since they do not rely on any a priori information concerning the quantum channels. In this treatise, we propose a general framework termed as permutation filters, which includes the existing permutation-based methods as special cases. In particular, we show that the proposed filter design algorithm always converge to the global optimum, and that the optimal filters can provide substantial improvements over the existing permutation-based methods in the presence of narrowband quantum noise, corresponding to large-depth, high-error-rate quantum circuits.

Computers, Optimization, Quantum algorithm, Quantum computing, Quantum error mitigation, Qubit, Signal processing algorithms, Task analysis, permutation filtering, permutation symmetry, variational quantum algorithms
0090-6778
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Xiong, Yifeng, Ng, Soon Xin and Hanzo, Lajos (2021) Quantum error mitigation relying on permutation filtering. IEEE Transactions on Communications. (doi:10.1109/TCOMM.2021.3132914).

Record type: Article

Abstract

Quantum error mitigation (QEM) is a class of promising techniques capable of reducing the computational error of variational quantum algorithms tailored for current noisy intermediate-scale quantum computers. The recently proposed permutation-based methods are practically attractive, since they do not rely on any a priori information concerning the quantum channels. In this treatise, we propose a general framework termed as permutation filters, which includes the existing permutation-based methods as special cases. In particular, we show that the proposed filter design algorithm always converge to the global optimum, and that the optimal filters can provide substantial improvements over the existing permutation-based methods in the presence of narrowband quantum noise, corresponding to large-depth, high-error-rate quantum circuits.

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qfilter - Accepted Manuscript
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More information

e-pub ahead of print date: 6 December 2021
Published date: 6 December 2021
Keywords: Computers, Optimization, Quantum algorithm, Quantum computing, Quantum error mitigation, Qubit, Signal processing algorithms, Task analysis, permutation filtering, permutation symmetry, variational quantum algorithms

Identifiers

Local EPrints ID: 452943
URI: http://eprints.soton.ac.uk/id/eprint/452943
ISSN: 0090-6778
PURE UUID: 1294a6f6-4d8c-46ed-9114-90f660ee5d87
ORCID for Yifeng Xiong: ORCID iD orcid.org/0000-0002-4290-7116
ORCID for Soon Xin Ng: ORCID iD orcid.org/0000-0002-0930-7194
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 06 Jan 2022 18:00
Last modified: 12 Jan 2022 02:53

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Contributors

Author: Yifeng Xiong ORCID iD
Author: Soon Xin Ng ORCID iD
Author: Lajos Hanzo ORCID iD

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