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Quantum Low-Density Parity-Check Codes [PDF]

open access: yesPRX 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
doaj   +5 more sources

Localized statistics decoding for quantum low-density parity-check codes. [PDF]

open access: yesNat Commun
Quantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code.
Hillmann T   +5 more
europepmc   +2 more sources

Rate-Compatible, Bandwidth-Efficient, Low-Density Parity-Check (LDPC) Codes for Aeronautical Telemetry. [PDF]

open access: yesEntropy (Basel)
Low-density parity-check (LDPC) codes form part of the IRIG-106 standard and have been successfully deployed for the Telemetry Group version of shaped-offset quadrature phase shift keying (SOQPSK-TG) modulation.
Cummins AD, Mitchell DGM, Perrins E.
europepmc   +2 more sources

Quantum Low-Density Parity-Check Codes for Modular Architectures

open access: yesPRX 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
doaj   +1 more source

Evaluation of Low Density Parity Check Codes Over Various Channel Types [PDF]

open access: yesEngineering 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
doaj   +1 more source

Low Density Parity Check Codes Constructed from Hankel Matrices

open access: yesJournal 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
doaj   +1 more source

Blind recognition of sparse parity‐check matrices of low‐density parity‐check codes in the presence of noise

open access: yesIET 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
doaj   +1 more source

Quantum dialogue protocol based on self-dual quantum low density parity check codes

open access: yes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
doaj   +3 more sources

A New Method for Building Low-Density-Parity-Check Codes

open access: yesInternational 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
doaj   +1 more source

Entanglement-assisted quantum low-density parity-check codes [PDF]

open access: yes, 2010
This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory.
C. J. Colbourn   +25 more
core   +4 more sources

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