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arXiv · 2203.03581

Good quantum LDPC codes with linear time decoder from lossless expanders

Ting-Chun Lin·Min-Hsiu Hsieh
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Abstract

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.

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Ting-Chun Lin, Min-Hsiu Hsieh. 2022-03-07. Good quantum LDPC codes with linear time decoder from lossless expanders. https://arxiv.org/abs/2203.03581

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