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Quantum Low-Density Parity-Check Codes [PDF]
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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Localized statistics decoding for quantum low-density parity-check codes. [PDF]
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]
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
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]
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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Low Density Parity Check Codes Constructed from Hankel Matrices
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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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
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
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]
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
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