Quaternary Neural Belief Propagation Decoding of Quantum LDPC Codes With Overcomplete Check Matrices [PDF]
IEEE Access, 2023 Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder.
Si-Si Miao +3 more
semanticscholar +1 more source
Generalized Quantum Data-Syndrome Codes and Belief Propagation Decoding for Phenomenological Noise [PDF]
IEEE Transactions on Information Theory, 2023 Quantum stabilizer codes often struggle with syndrome errors due to measurement imperfections. Typically, multiple rounds of syndrome extraction are employed to ensure reliable error information.
Kao-Yueh Kuo, Ching-Yi Lai
semanticscholar +1 more source
On Belief Propagation Decoding of Quantum Codes with Quaternary Reliability Statistics [PDF]
International Symposium on Turbo Codes and Iterative Information Processing, 2023 In this paper, we investigate the use of quaternary reliability statistics for ordered statistics decoding (OSD) of quantum codes. OSD can be used to improve the performance of belief propagation (BP) decoding when it fails to correct the error syndrome.
Ching-Feng Kung, Kao-Yueh Kuo, C. Lai
semanticscholar +1 more source
Neural Belief Propagation Decoding of Quantum LDPC Codes Using Overcomplete Check Matrices [PDF]
Information Theory Workshop, 2022 The recent success in constructing asymptotically good quantum low-density parity-check (QLDPC) codes makes this family of codes a promising candidate for error-correcting schemes in quantum computing.
Si-Si Miao +3 more
semanticscholar +1 more source
Pruning and Quantizing Neural Belief Propagation Decoders [PDF]
IEEE Journal on Selected Areas in Communications, 2021 Accepted for publication in IEEE Journal on Selected Areas in Communications (J-SAC)
Andreas Buchberger +4 more
openaire +3 more sources
Improved CRC aided BP decoding for polar codes
Electronics Letters, 2021 In this letter, a modified message passing algorithm to prevent short cycles in the factor graph is proposed and combined with a relaxation technique to improve the performance of cyclic redundancy check aided belief propagation decoding for polar codes.
Sungkwon Hong, Jong‐Moon Chung
doaj +1 more source
Belief-Propagation Decoding of LDPC Codes With Variable Node–Centric Dynamic Schedules [PDF]
IEEE Transactions on Communications, 2021 Belief propagation (BP) decoding of low-density parity-check (LDPC) codes with various dynamic decoding schedules have been proposed to improve the efficiency of the conventional flooding schedule. As the ultimate goal of an ideal LDPC code decoder is to
T. Chang +4 more
semanticscholar +1 more source
Loopy belief propagation and probabilistic image processing [PDF]
, 2003 Estimation of hyperparameters by maximization of the marginal likelihood in probabilistic image processing is investigated by using the cluster variation method.
Inoue, J., Tanaka, K., Titterington, M.
core +4 more sources
Systematic Luby Transform Codes and their Soft Decoding [PDF]
, 2007 Luby Transform codes (LT) were originally designed for the Binary Erasure Channel (BEC) encountered owing to randomly dropped packets in the statistical multiplexing aided classic wireline-based Internet, where transmitted packets are not affected by the
T. D. Nguyen +5 more
core +2 more sources
Generalization Bounds for Neural Belief Propagation Decoders
IEEE Transactions on Information Theory, 2023 Machine learning based approaches are being increasingly used for designing decoders for next generation communication systems. One widely used framework is neural belief propagation (NBP), which unfolds the belief propagation (BP) iterations into a deep neural network and the parameters are trained in a data-driven manner. NBP decoders have been shown
Sudarshan Adiga +4 more
openaire +5 more sources