Results 41 to 50 of about 38,534 (221)

Universal Adapters between Quantum Low-Density Parity Check Codes

open access: yesPRX Quantum
We propose the repetition code adapter as a way to perform joint logical Pauli measurements within a quantum low-density parity check (LDPC) codeblock or between separate such codeblocks, thus providing a flexible tool for fault-tolerant computation with
Esha Swaroop   +2 more
doaj   +1 more source

Weight Distributions of Regular Low-Density Parity-Check Codes over Finite Fields [PDF]

open access: yes, 2011
The average weight distribution of a regular low-density parity-check (LDPC) code ensemble over a finite field is thoroughly analyzed. In particular, a precise asymptotic approximation of the average weight distribution is derived for the small-weight ...
Chen, Yan   +4 more
core   +1 more source

An Efficient Method to Construct Parity-Check Matrices for Recursively Encoding Spatially Coupled LDPC Codes †

open access: yesEntropy, 2016
Spatially coupled low-density parity-check (LDPC) codes have attracted considerable attention due to their promising performance. Recursive encoding of the codes with low delay and low complexity has been proposed in the literature but with constraints ...
Zhongwei Si, Sijie Wang, Junyang Ma
doaj   +1 more source

Cyclic Low Density Parity Check Codes With the Optimum Burst Error Correcting Capability

open access: yesIEEE Access, 2020
The paper presents a new scheme of cyclic codes suitable for the correction of burst errors. This is accomplished by the proper definition of their parity check polynomials in which the difference between orders of every two consecutive elements of the ...
Sina Vafi
doaj   +1 more source

A Class of Quantum LDPC Codes Constructed From Finite Geometries

open access: yes, 2008
Low-density parity check (LDPC) codes are a significant class of classical codes with many applications. Several good LDPC codes have been constructed using random, algebraic, and finite geometries approaches, with containing cycles of length at least ...
Aly, Salah A.
core   +1 more source

Fault-Tolerance of "Bad" Quantum Low-Density Parity Check Codes

open access: yes, 2012
We discuss error-correction properties for families of quantum low-density parity check (LDPC) codes with relative distance that tends to zero in the limit of large blocklength.
Kovalev, Alexey A., Pryadko, Leonid P.
core   +1 more source

Fast performance estimation of block codes [PDF]

open access: yes, 2008
Importance sampling is used in this paper to address the classical yet important problem of performance estimation of block codes. Simulation distributions that comprise discreteand continuous-mixture probability densities are motivated and used for this
Srinivasan, Rajan, Wang, Nuo
core   +4 more sources

Interactive reconciliation with low-density parity-check codes [PDF]

open access: yes2010 6th International Symposium on Turbo Codes & Iterative Information Processing, 2010
Efficient information reconciliation is crucial in several scenarios, being quantum key distribution a remarkable example. However, efficiency is not the only requirement for determining the quality of the information reconciliation process. In some of these scenarios we find other relevant parameters such as the interactivity or the adaptability to ...
Elkouss Coronas, David   +2 more
openaire   +3 more sources

New decoding scheme for LDPC codes based on simple product code structure

open access: yes, 2012
In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword.
Hong, Seokbeom   +4 more
core   +1 more source

Planar Quantum Low-Density Parity-Check Codes with Open Boundaries

open access: yesPRX Quantum
Although high-threshold and low-overhead quantum low-density parity-check (qLDPC) codes, such as bivariate bicycle (BB) codes, can reduce the physical-qubit cost by an order of magnitude compared to the Kitaev toric code, their torus layout remains ...
Zijian Liang (梁子健)   +2 more
doaj   +1 more source

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