Good quantum LDPC codes with linear time decoder from lossless expanders
Ting-Chun Lin, Min-Hsiu Hsieh · arXiv (Cornell University) · 2022
Quantum low-density parity-check (qLDPC) codes are quantum stabilizer codes where each stabilizer acts on a constant number of qubits and each qubit is acted on by a constant number of stabilizers. We study qLDPC codes constructed from balanced products and lossless expanders. We found that assuming the existence of 2-sided lossless expander graphs with free group action, the resulting qLDPC codes have constant rate, linear distance, and linear time decoders.