Quantum Precoded Polar Codes
Abstract
We introduce a new family of CSS codes obtained from rate-1 precoded polar codes, which harnesses the precoding benefits obtained for classical short blocklength polar codes. We optimize the rate profile and precoder of these codes with a genetic algorithm, and present codes of dimension [\![256, 2 ]\!] and [\![512, 2]\!] that have logical error rates similar to the [\![1201, 1, 25 ]\!] surface code over the depolarizing channel.
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