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
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
13 December 2020
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, .
(doi:10.1109/ACCESS.2020.3045016).
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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qem_analysis
- Accepted Manuscript
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sampling overheard
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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
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Date deposited: 07 Jan 2021 17:31
Last modified: 06 Jun 2024 02:10
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Author:
Yifeng Xiong
Author:
Daryus Chandra
Author:
Soon Xin Ng
Author:
Lajos Hanzo
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