research-article

Towards quantum belief propagation for LDPC decoding in wireless networks

Authors:

Kyle JamiesonAuthors Info & Claims

MobiCom '20: Proceedings of the 26th Annual International Conference on Mobile Computing and Networking

Article No.: 50, Pages 1 - 14

https://doi.org/10.1145/3372224.3419207

Published: 18 September 2020 Publication History

Abstract

We present Quantum Belief Propagation (QBP), a Quantum Annealing (QA) based decoder design for Low Density Parity Check (LDPC) error control codes, which have found many useful applications in Wi-Fi, satellite communications, mobile cellular systems, and data storage systems. QBP reduces the LDPC decoding to a discrete optimization problem, then embeds that reduced design onto quantum annealing hardware. QBP's embedding design can support LDPC codes of block length up to 420 bits on real state-of-the-art QA hardware with 2,048 qubits. We evaluate performance on real quantum annealer hardware, performing sensitivity analyses on a variety of parameter settings. Our design achieves a bit error rate of 10^--8 in 20 μs and a 1,500 byte frame error rate of 10^--6 in 50 μs at SNR 9 dB over a Gaussian noise wireless channel. Further experiments measure performance over real-world wireless channels, requiring 30 μs to achieve a 1,500 byte 99.99% frame delivery rate at SNR 15-20 dB. QBP achieves a performance improvement over an FPGA based soft belief propagation LDPC decoder, by reaching a bit error rate of 10^--8 and a frame error rate of 10^--6 at an SNR 2.5--3.5 dB lower. In terms of limitations, QBP currently cannot realize practical protocol-sized (e.g., Wi-Fi, WiMax) LDPC codes on current QA processors. Our further studies in this work present future cost, throughput, and QA hardware trend considerations.

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Cited By

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https://dl.acm.org/doi/10.1145/3665928
Kasi SKaewell JJamieson K(2024)A Quantum Annealer-Enabled Decoder and Hardware Topology for NextG Wireless Polar CodesIEEE Transactions on Wireless Communications10.1109/TWC.2023.331120423:4(3780-3794)Online publication date: Apr-2024
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Zhou HSeah RJalaleddine MGross W(2024)Decoding of Polar Codes Using Quadratic Unconstrained Binary OptimizationIEEE Journal on Selected Areas in Communications10.1109/JSAC.2024.343157942:11(3204-3216)Online publication date: Nov-2024
https://doi.org/10.1109/JSAC.2024.3431579
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Index Terms

Towards quantum belief propagation for LDPC decoding in wireless networks
1. Hardware
  1. Emerging technologies
    1. Quantum technologies
      1. Quantum computation
2. Networks
  1. Network components
    1. Wireless access points, base stations and infrastructure

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MobiCom '20: Proceedings of the 26th Annual International Conference on Mobile Computing and Networking

April 2020

621 pages

ISBN:9781450370851

DOI:10.1145/3372224

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Published: 18 September 2020

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MobiCom '20: The 26th Annual International Conference on Mobile Computing and Networking

September 21 - 25, 2020

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Cited By

Yang KDu W(2024)A Low-Density Parity-Check Coding Scheme for LoRa NetworkingACM Transactions on Sensor Networks10.1145/366592820:4(1-29)Online publication date: 8-Jul-2024
https://dl.acm.org/doi/10.1145/3665928
Kasi SKaewell JJamieson K(2024)A Quantum Annealer-Enabled Decoder and Hardware Topology for NextG Wireless Polar CodesIEEE Transactions on Wireless Communications10.1109/TWC.2023.331120423:4(3780-3794)Online publication date: Apr-2024
https://doi.org/10.1109/TWC.2023.3311204
Zhou HSeah RJalaleddine MGross W(2024)Decoding of Polar Codes Using Quadratic Unconstrained Binary OptimizationIEEE Journal on Selected Areas in Communications10.1109/JSAC.2024.343157942:11(3204-3216)Online publication date: Nov-2024
https://doi.org/10.1109/JSAC.2024.3431579
Guo YZeng HXiong FLuan TZhang ZWang X(2024)Quantum Annealing with Post-processing of Maximum Likelihood for LDPC Decoding2024 5th Information Communication Technologies Conference (ICTC)10.1109/ICTC61510.2024.10601825(168-172)Online publication date: 10-May-2024
https://doi.org/10.1109/ICTC61510.2024.10601825
Mohammed ABounceur AHammoudeh M(2023)Quantum Assisted Architectures for Wireless Systems, the Case of Quantum 6GProceedings of the 7th International Conference on Future Networks and Distributed Systems10.1145/3644713.3644806(618-625)Online publication date: 21-Dec-2023
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Kasi SWarburton PKaewell JJamieson K(2023)A Cost and Power Feasibility Analysis of Quantum Annealing for NextG Cellular Wireless NetworksIEEE Transactions on Quantum Engineering10.1109/TQE.2023.33264694(1-17)Online publication date: 2023
https://doi.org/10.1109/TQE.2023.3326469
Seah RZhou HJalaleddine MGross W(2023)xSA: A Binary Cross-Entropy Simulated Annealing Polar Decoder2023 12th International Symposium on Topics in Coding (ISTC)10.1109/ISTC57237.2023.10273491(1-5)Online publication date: 4-Sep-2023
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Das Sarma AMajumder UVaidya VChandra MKumar APramanik S(2023)On Quantum-Assisted LDPC Decoding Augmented with Classical Post-processingParallel Processing and Applied Mathematics10.1007/978-3-031-30445-3_13(153-164)Online publication date: 27-Apr-2023
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Piveteau CRenes J(2022)Quantum message-passing algorithm for optimal and efficient decodingQuantum10.22331/q-2022-08-23-7846(784)Online publication date: 23-Aug-2022
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Yang KDu WGummeson JLee SGao JXing G(2022)LLDPCProceedings of the 20th ACM Conference on Embedded Networked Sensor Systems10.1145/3560905.3568547(193-206)Online publication date: 6-Nov-2022
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