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Localized statistics decoding for quantum low-density parity-check codes [PDF]
Nature CommunicationsQuantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code.
Timo Hillmann +5 more
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Quantum Low-Density Parity-Check Codes
PRX Quantum, 2021 Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called “quantum low-density parity-check (LDPC) codes.” The codes we discuss are alternatives to ...
Nikolas P. Breuckmann +1 more
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Quantum Low-Density Parity-Check Codes for Modular Architectures
PRX Quantum, 2023 In efforts to scale the size of quantum computers, modularity plays a central role across most quantum computing technologies. In the light of fault tolerance, this necessitates designing quantum error-correcting codes that are compatible with the ...
Armands Strikis, Lucas Berent
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Qudit low-density parity-check codes [PDF]
QuantumQudits offer significant advantages over qubit-based architectures, including more efficient gate compilation, reduced resource requirements, improved error-correction primitives, and enhanced capabilities for quantum communication and cryptography. Yet,
Daniel J. Spencer +4 more
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Low Density Parity Check Codes Constructed from Hankel Matrices
Journal of Telecommunications and Information Technology, 2018 In this paper, a new technique for constructing low density parity check codes based on the Hankel matrix and circulant permutation matrices is proposed. The new codes are exempt of any cycle of length 4.
Mohammed Amine Tehami
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Evaluation of Low Density Parity Check Codes Over Various Channel Types [PDF]
Engineering and Technology Journal, 2011 Low density parity check (LDPC) codes are one of the best error correcting codes in today’s coding world and are known to approach the Shannon limit. As with all other channel coding schemes, LDPC codes add redundancy to the uncoded input data to make it
Mahmood Farhan Mosleh
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IET Communications, 2023 This paper studies the blind recognition method of the sparse parity‐check matrices of low‐density parity‐check codes in noncooperative communication, which is critical to the reverse analysis of communication protocols using LDPC codes.
Yong Ding, Zhiping Huang, Jing Zhou
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Quantum dialogue protocol based on self-dual quantum low density parity check codes
网络与信息安全学报, 2020 In quantum channels, particles are usually affected by noise during transmission. A quantum dialogue protocol based on self-dual quantum low density parity check codes was proposed to resist noise attacks.
LIU Fen, XU Pengao +1 more
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A New Method for Building Low-Density-Parity-Check Codes
International Journal of Technology, 2019 This paper proposes a new method for building low-density-parity-check codes, exempt of cycle of length 4, based on a circulant permutation matrix, which needs very little memory for storage it in the encoder and a dual diagonal structure is applied ...
Tehami Mohammed Amine, Djebbari Ali
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Spatially Coupled Generalized Low-Density Parity-Check Codes Over Class-A Impulsive Noise Channels
IEEE Access, 2019 In this paper, a class of spatially coupled generalized low-density parity-check (SC-GLDPC) codes with minimum coupling width is introduced to mitigate the Class-A impulsive noise. Codes with minimum coupling width are beneficial to simple code structure,
Ping Wang, Liuguo Yin, Jianhua Lu
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