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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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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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Low-Density Parity-Check Codes and Their Rateless Relatives [PDF]
IEEE Communications Surveys and Tutorials, 2011 This survey guides the reader through the extensive open literature that is covering the family of low-density parity-check LDPC codes and their rateless relatives. In doing so, we will identify the most important milestones that have occurred since their conception until the current era and elucidate the related design problems and their respective ...
Nicholas Bonello +2 more
exaly +2 more sources
Doped low-density parity-check codes
Digital Communications and NetworksIn 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 +5 more
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Low density parity check coding. [PDF]
IEEE Communications Letters, 2005 This thesis explores the properties of the family of Low Density Parity Check Codes (LDPCC). In addition to Gallager's original binary regular LDPCCs, the class of irregular LDPCCs and non-binary LDPCCs developed from the binary regular LDPCC is also studied.
LIVA, GIANLUIGI +2 more
openaire +5 more sources
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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On Girth Conditioning for Low-Density Parity-Check Codes [PDF]
IEEE Transactions on Communications, 2011 Low-density parity-check (LDPC) codes are gaining interest for high data rate applications in both terrestrial and spatial communications. They can be designed and studied through a bipartite graph whose characteristics affect the performance. This paper proposes a low-complexity method to improve the performance of LDPC codes by selectively removing ...
Samuele Bandi +3 more
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Multilevel Structured Low-Density Parity-Check Codes [PDF]
2008 IEEE International Conference on Communications, 2008 Low-density parity-check (LDPC) codes are typically characterized by a relatively high-complexity description, since a considerable amount of memory is required in order to store their code description, which can be represented either by the connections of the edges in their Tanner graph or by the non-zero entries in their parity-check matrix (PCM ...
Nicholas Bonello +2 more
openaire +2 more sources
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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