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
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
6 December 2021
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).
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.
Text
qfilter
- Accepted Manuscript
More information
Accepted/In Press date: 1 December 2021
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
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Date deposited: 06 Jan 2022 18:00
Last modified: 18 Oct 2024 01:35
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Contributors
Author:
Yifeng Xiong
Author:
Soon Xin Ng
Author:
Lajos Hanzo
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