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Sampling overhead analysis of quantum error mitigation: uncoded vs. coded systems

Sampling overhead analysis of quantum error mitigation: uncoded vs. coded systems
Sampling overhead analysis of quantum error mitigation: uncoded vs. coded systems
Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a comprehensive analysis of the sampling overhead imposed by QEM. In particular, we show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels having the same average fidelity. Furthermore, we show that depolarizing errors incur the lowest sampling overhead among all kinds of Pauli errors. Additionally, we conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM. Especially, we observe that there exist a critical number of gates contained in quantum circuits, beyond which their amalgamation is preferable to pure QEM
Logic gates, Noise measurement, Probabilistic logic, Quantum computing, Quantum error mitigation, Quantum mechanics, Qubit, Tensors, hybrid quantum-classical computation, quantum error correction codes, quantum error detection codes, sampling overhead
2169-3536
228967-228991
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Xiong, Yifeng, Chandra, Daryus, Ng, Soon Xin and Hanzo, Lajos (2020) Sampling overhead analysis of quantum error mitigation: uncoded vs. coded systems. IEEE Access, 8, 228967-228991. (doi:10.1109/ACCESS.2020.3045016).

Record type: Article

Abstract

Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a comprehensive analysis of the sampling overhead imposed by QEM. In particular, we show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels having the same average fidelity. Furthermore, we show that depolarizing errors incur the lowest sampling overhead among all kinds of Pauli errors. Additionally, we conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM. Especially, we observe that there exist a critical number of gates contained in quantum circuits, beyond which their amalgamation is preferable to pure QEM

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Accepted/In Press date: 12 December 2020
Published date: 13 December 2020
Keywords: Logic gates, Noise measurement, Probabilistic logic, Quantum computing, Quantum error mitigation, Quantum mechanics, Qubit, Tensors, hybrid quantum-classical computation, quantum error correction codes, quantum error detection codes, sampling overhead

Identifiers

Local EPrints ID: 445758
URI: http://eprints.soton.ac.uk/id/eprint/445758
ISSN: 2169-3536
PURE UUID: be5e8d8e-e08f-4de3-887c-551a0211647b
ORCID for Yifeng Xiong: ORCID iD orcid.org/0000-0002-4290-7116
ORCID for Daryus Chandra: ORCID iD orcid.org/0000-0003-2406-7229
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: 07 Jan 2021 17:31
Last modified: 25 Feb 2021 02:59

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Contributors

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

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