Approaching maximum likelihood performance of LDPC codes by stochastic resonance in noisy iterative decoders

2016 ◽  
Author(s):  
Bane Vasic ◽  
Predrag Ivanis ◽  
David Declercq ◽  
Khoa LeTrung
Keyword(s):  
Maximum Likelihood ◽  
Stochastic Resonance ◽  
Ldpc Codes ◽  
Iterative Decoders

scholarly journals On maximum-likelihood decoding with circuit-level errors

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 304
Author(s):  
Leonid P. Pryadko
Keyword(s):  
Maximum Likelihood ◽  
Probability Distribution ◽  
Error Probability ◽  
Ldpc Codes ◽  
Quantum Codes ◽  
Quantum Code ◽  
Maximum Likelihood Decoding ◽  
Measurement Circuit ◽  
Equivalence Group ◽  
Error Probability Distribution

Error probability distribution associated with a given Clifford measurement circuit is described exactly in terms of the circuit error-equivalence group, or the circuit subsystem code previously introduced by Bacon, Flammia, Harrow, and Shi. This gives a prescription for maximum-likelihood decoding with a given measurement circuit. Marginal distributions for subsets of circuit errors are also analyzed; these generate a family of related asymmetric LDPC codes of varying degeneracy. More generally, such a family is associated with any quantum code. Implications for decoding highly-degenerate quantum codes are discussed.

scholarly journals Finite Alphabet Iterative Decoders for LDPC Codes: Optimization, Architecture and Analysis

2014 ◽  
Vol 61 (5) ◽  
pp. 1366-1375 ◽  
Author(s):  
Fang Cai ◽  
Xinmiao Zhang ◽  
David Declercq ◽  
Shiva Kumar Planjery ◽  
Bane Vasic
Keyword(s):  
Ldpc Codes ◽  
Finite Alphabet ◽  
Iterative Decoders
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