Linear-Time Encodable Quantum Codes near the CSS GV Bound
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Linear-Time Encodable Quantum Codes near the CSS GV Bound
Rachel Yun Zhang
AbstractWe construct quantum CSS codes with rate-distance tradeoff approaching the CSS GV bound, which can be encoded by a quantum circuit of logarithmic depth and a linear number of gates. Our construction is heavily inspired by a work of Brehm and Resch and can be viewed as a quantum analogue of classical repeat multiple accumulate codes. The encoder has a particularly simple structure, consisting of a single constant depth outer quantum circuit followed by several classical accumulation and inverse-accumulation layers.