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EXIT-chart aided design of irregular multiple-rate quantum turbo block codes

EXIT-chart aided design of irregular multiple-rate quantum turbo block codes
EXIT-chart aided design of irregular multiple-rate quantum turbo block codes

We propose a novel quantum turbo short-block code, which subsumes multiple-rate quantum short-block codes (MR-QSBCs) as the outer codes and a quantum unity-rate code (QURC) as the inner code. The proposed design is denoted as MR-QSBC-QURC. More specifically, the proposed design exhibits multiple quantum coding rates despite relying only on a single quantum encoder. Moreover, the flexibility offered by the single-encoder MR-QSBCs enables us to leverage extrinsic information transfer (EXIT)-chart based heuristic optimization for determining the optimal weighting in the fractional encoding of MR-QSBCs. Our simulation results show that the MR-QSBC-QURC scheme conceived performs relatively close to the ultimate limit of the quantum hashing bound. Specifically, when considering the target quantum coding rates of rQ = 0.3, 0.4, 0.5, 0.6, 0.7, the MR-QSBC-QURC operates at a distance of D = 0.042, 0.029, 0.030, 0.024, 0.017 from the quantum hashing bound, respectively, at a quantum bit error ratio (QBER) of 10-3.

EXIT chart, Quantum error-correction codes, quantum short-block codes, quantum stabilizer codes, quantum turbo codes, rate-compatible code
2169-3536
96177-96195
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Chandra, Daryus, Ng, Soon Xin and Hanzo, Lajos (2023) EXIT-chart aided design of irregular multiple-rate quantum turbo block codes. IEEE Access, 11, 96177-96195. (doi:10.1109/ACCESS.2023.3312044).

Record type: Article

Abstract

We propose a novel quantum turbo short-block code, which subsumes multiple-rate quantum short-block codes (MR-QSBCs) as the outer codes and a quantum unity-rate code (QURC) as the inner code. The proposed design is denoted as MR-QSBC-QURC. More specifically, the proposed design exhibits multiple quantum coding rates despite relying only on a single quantum encoder. Moreover, the flexibility offered by the single-encoder MR-QSBCs enables us to leverage extrinsic information transfer (EXIT)-chart based heuristic optimization for determining the optimal weighting in the fractional encoding of MR-QSBCs. Our simulation results show that the MR-QSBC-QURC scheme conceived performs relatively close to the ultimate limit of the quantum hashing bound. Specifically, when considering the target quantum coding rates of rQ = 0.3, 0.4, 0.5, 0.6, 0.7, the MR-QSBC-QURC operates at a distance of D = 0.042, 0.029, 0.030, 0.024, 0.017 from the quantum hashing bound, respectively, at a quantum bit error ratio (QBER) of 10-3.

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More information

Accepted/In Press date: 31 August 2023
e-pub ahead of print date: 8 September 2023
Published date: 8 September 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, Project EP/X01228X/1, and Project EP/Y026721/1. Publisher Copyright: © 2013 IEEE.
Keywords: EXIT chart, Quantum error-correction codes, quantum short-block codes, quantum stabilizer codes, quantum turbo codes, rate-compatible code

Identifiers

Local EPrints ID: 482068
URI: http://eprints.soton.ac.uk/id/eprint/482068
ISSN: 2169-3536
PURE UUID: d9574778-0f78-46dd-8e17-e8183f00cd16
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: 18 Sep 2023 16:52
Last modified: 06 Jun 2024 02:10

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Contributors

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

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