Quantum Precoded Polar Codes
Information Theory
2026-05-14 v1 math.IT
Quantum Physics
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 and that have logical error rates similar to the surface code over the depolarizing channel.
Cite
@article{arxiv.2605.12796,
title = {Quantum Precoded Polar Codes},
author = {Tyler Kann and Shrinivas Kudekar and Matthieu R. Bloch},
journal= {arXiv preprint arXiv:2605.12796},
year = {2026}
}