Modified belief propagation decoders for quantum low-density parity-check codes
نویسندگان
چکیده
منابع مشابه
Low Density Parity Check Codes
Low Density Parity Check Codes originally invented by Gallagher and subsequently rediscovered by multiple groups 30 years later has become the best known error correcting code in a variety of situations. In this paper, we review regular and irregular LDPC codes. We describe a number of message passing decoders for decoding these codes and explain their operation via examples. Density evolution,...
متن کاملLow-density parity-check codes
A low-density parity-check code is a code specified by a parity-check matrix with the following properties : each column contains a small fixed numberj > 3 of I’s and each row contains a small fixed number k > j of 1’s. The typical minimum distance of these codes increases linearly with block length for a fixed rate and fixed j. When used with maximum likelihood decoding on a snfhciently quiet ...
متن کاملReduced complexity iterative decoding of low-density parity check codes based on belief propagation
In this paper, two simplified versions of the belief propagation algorithm for fast iterative decoding of low-density parity check codes on the additive white Gaussian noise channel are proposed. Both versions are implemented with real additions only, which greatly simplifies the decoding complexity of belief propagation in which products of probabilities have to be computed. Also, these two al...
متن کاملIterative Decoding beyond Belief Propagation of Low-density Parity-check Codes
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متن کاملImproved Low-Density Parity-Check Codes Using Irregular Graphs and Belief Propagation
We construct new families of error-correcting codes based on Gallager’s low-density parity-check codes, which we call irregular codes. When decoded using belief propagation, our codes can correct more errors than previously known low-density parity-check codes. For example, for rate 1/4 codes on 16,000 bits over a binary symmetric channel, previous low-density parity-check codes can correct up ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2019
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.100.012330