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sisimiao authored Aug 25, 2023
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# Neural Belief Propagation Decoding of Quantum LDPC Codes Using Overcomplete Check Matrices
## Sisi Miao, Alexander Schnerring, Haizheng Li, and Laurent Schmalen

This repository provides an implementation that produces the results presented in [1] and [2]. It consists of two main core parts: One is the Jupyter Notebook which implements the neural BP network. Another is the C++ codes which evaluates the performance of the trained decoder.
This repository provides an implementation that produces the results presented in [1] and its extended version[2]. It consists of two main core parts: One is the Jupyter Notebook which implements the neural BP network. Another is the C++ codes which evaluates the performance of the trained decoder.

Specifically, the Jupyter Notebook contains:
* The neural BP4 decoder, which is defined as the class `NBP_oc`
* Functions for training, which can be run on a CPU or GPU
* Calls to C++ functions that evaluate the trained decoder
* Overcomplete check matrices used in [1], which are provided in the ./PCMs folder
* Overcomplete check matrices that we constructed for the code used, which are provided in the ./PCMs folder

The C++ codes contain:
* `simulateFER`, which calls the decoder to simulate random errors with different depolarizing probabilities. The output is the depolarizing probability versus frame error rate.
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