Quantum Precoded Polar Codes
This work provides a new quantum error-correcting code construction that achieves competitive performance with much shorter blocklengths, benefiting quantum computing implementations with limited qubits.
The authors introduce a new family of CSS codes from rate-1 precoded polar codes, achieving logical error rates for [256,2] and [512,2] codes comparable to the [1201,1,25] surface code over the depolarizing channel.
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.