Decoding Quantum Low Density Parity Check Codes

Explore the intricacies of decoding quantum low density parity check (LDPC) codes in this 50-minute lecture by Joschka Roffe from The University of Edinburgh. Delve into a comprehensive survey of decoders for quantum LDPC codes, with a primary focus on variations of the belief propagation (BP) algorithm. Understand the challenges of implementing BP in quantum settings and learn how post-processing with ordered statistics can enhance performance. Examine the balance between speed and accuracy in decoding processes, and discover strategies for adapting BP-based decoders to circuit-level noise models. Gain insights into using open-source software for benchmarking quantum LDPC code decoding, providing practical applications for this advanced topic in quantum coding theory.