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Quantum Low-Density Parity-Check Codes [PDF]

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, Jens Niklas Eberhardt   +1 more
doaj   +7 more sources

Multilevel generalised low-density parity-check codes [PDF]

Electronics Letters, 2006
Multilevel coding invoking generalised low-density parity-check component codes is proposed, which is capable of outperforming the classic low-density parity check component codes at a reduced decoding latency.
Tee, R.Y.S., Kuo, F.C., Hanzo, L.
openaire   +3 more sources

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

Nature Communications
Quantum 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, Lucas Berent, Armanda O. Quintavalle, Jens Eisert, Robert Wille, Joschka Roffe   +5 more
doaj   +2 more sources

Array Convolutional Low-Density Parity-Check Codes [PDF]

, 2014
This paper presents a design technique for obtaining regular time-invariant low-density parity-check convolutional (RTI-LDPCC) codes with low complexity and good performance. We start from previous approaches which unwrap a low-density parity-check (LDPC)
Marco Baldi, Giovanni Cancellieri, Franco Chiaraluce   +2 more
openalex   +3 more sources

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
doaj   +3 more sources

Qudit low-density parity-check codes [PDF]

Quantum
Qudits 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, Andrew Tanggara, Tobias Haug, Derek Khu, Kishor Bharti   +4 more
doaj   +3 more sources

Doped low-density parity-check codes

Digital Communications and Networks
In this paper, we propose a doping approach to lower the error floor of Low-Density Parity-Check (LDPC) codes. The doping component is a short block code in which the information bits are selected from the coded bits of the dominant trapping sets of the ...
Yong Li, Rui Liu, Xianlong Jiao, Youqiang Hu, Zhen Luo, Francis C.M. Lau   +5 more
doaj   +3 more sources

An Adaptive Entanglement Distillation Scheme Using Quantum Low Density Parity Check Codes [PDF]

, 2008
Quantum low density parity check (QLDPC) codes are useful primitives for quantum information processing because they can be encoded and decoded efficiently.
Kin-Chu Ho, H. F. Chau
openalex   +4 more sources

Double-Layer Low-Density Parity-Check Codes over Multiple-Input Multiple-Output Channels [PDF]

International Journal of Antennas and Propagation, 2012
We introduce a double-layer code based on the combination of a low-density parity-check (LDPC) code with the multiple-input multiple-output (MIMO) system, where the decoding can be done in both inner-iteration and outer-iteration manners.
Yun Mao, Ying Guo, Jun Peng, Xueqin Jiang, Moon Ho Lee   +4 more
doaj   +2 more sources

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

Entropy
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.
Andrew D. Cummins, David G. M. Mitchell, Erik Perrins   +2 more
doaj   +2 more sources