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Universal decoding of quantum stabilizer codes via classical guesswork

Universal decoding of quantum stabilizer codes via classical guesswork
Universal decoding of quantum stabilizer codes via classical guesswork
A universal decoding scheme is conceived for quantum stabilizer codes (QSCs) by appropriately adaptingthe ‘guessing random additive noise decoding’ (GRAND) philosophy of classical domain codes. We demonstrate that the generalized quantum decoder conceived is eminently suitable for different QSC decoding paradigms, namely for both stabilizer-measurement-based as well as the inverse-encoder-based decoding. We then harness the resultant decoder for both quantum Bose-Chaudhuri-Hocquenghem (BCH) codes and quantum polar codes and quantify both their quantum block error rate (QBLER), and QBLER per logical qubits as well as their decoding complexity. Furthermore, we provide a parametric study of the associated design trade-offs and offer design guideline for the implementation of GRAND-based QSC decoders.
decoding, quantum error correction codes, quantum noise, quantum stabilizer codes
2169-3536
19059-19072
Chandra, Daryus
a2f091a8-9772-4633-8e3b-d3220b10a2ec
Kaykac Egilmez, Zeynep
7c08f230-e62b-4618-ada2-ca05f13bd270
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Maunder, Rob
76099323-7d58-4732-a98f-22a662ccba6c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Chandra, Daryus
a2f091a8-9772-4633-8e3b-d3220b10a2ec
Kaykac Egilmez, Zeynep
7c08f230-e62b-4618-ada2-ca05f13bd270
Xiong, Yifeng
f93bfe9b-7a6d-47e8-a0a8-7f4f6632ab21
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Maunder, Rob
76099323-7d58-4732-a98f-22a662ccba6c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Chandra, Daryus, Kaykac Egilmez, Zeynep, Xiong, Yifeng, Ng, Soon Xin, Maunder, Rob and Hanzo, Lajos (2023) Universal decoding of quantum stabilizer codes via classical guesswork. IEEE Access, 11, 19059-19072. (doi:10.1109/ACCESS.2023.3247966).

Record type: Article

Abstract

A universal decoding scheme is conceived for quantum stabilizer codes (QSCs) by appropriately adaptingthe ‘guessing random additive noise decoding’ (GRAND) philosophy of classical domain codes. We demonstrate that the generalized quantum decoder conceived is eminently suitable for different QSC decoding paradigms, namely for both stabilizer-measurement-based as well as the inverse-encoder-based decoding. We then harness the resultant decoder for both quantum Bose-Chaudhuri-Hocquenghem (BCH) codes and quantum polar codes and quantify both their quantum block error rate (QBLER), and QBLER per logical qubits as well as their decoding complexity. Furthermore, we provide a parametric study of the associated design trade-offs and offer design guideline for the implementation of GRAND-based QSC decoders.

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Universal_Decoding_of_Quantum_Stabilizer_Codes_via_Classical_Guesswork__1_ - Accepted Manuscript
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Accepted/In Press date: 20 February 2023
e-pub ahead of print date: 22 February 2023
Published date: 22 February 2023
Additional Information: Funding Information: The work of Lajos Hanzo was supported in part by the Engineering and Physical Sciences Research Council under Project EP/W016605/1 and Project EP/X01228X/1, and in part by the European Research Council's Advanced Fellow Grant QuantCom under Grant 789028. Publisher Copyright: © 2013 IEEE.
Keywords: decoding, quantum error correction codes, quantum noise, quantum stabilizer codes
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Identifiers

Local EPrints ID: 476839
URI: http://eprints.soton.ac.uk/id/eprint/476839
DOI: doi:10.1109/ACCESS.2023.3247966
ISSN: 2169-3536
PURE UUID: 02f350e7-bd90-45b1-8e12-5d0cd289a424
ORCID for Daryus Chandra: ORCID iD orcid.org/0000-0003-2406-7229
ORCID for Zeynep Kaykac Egilmez: ORCID iD orcid.org/0000-0001-5547-6354
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 Rob Maunder: ORCID iD orcid.org/0000-0002-7944-2615
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 17 May 2023 16:46
Last modified: 18 Mar 2024 04:10

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Contributors

Author: Daryus Chandra ORCID iD
Author: Zeynep Kaykac Egilmez ORCID iD
Author: Yifeng Xiong ORCID iD
Author: Soon Xin Ng ORCID iD
Author: Rob Maunder ORCID iD
Author: Lajos Hanzo ORCID iD

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