CSS-T Codes From Reed-Muller Codes

Abstract

CSS-T codes are a class of stabilizer codes introduced by Rengaswamy et al. with desired properties for quantum fault-tolerance. In this work, we comprehensively study non-degenerate CSS-T codes built from Reed-Muller codes. These classical codes allow for constructing optimal CSS-T code families with nonvanishing asymptotic rates up to ${}\frac {1}{2}$ and possibly diverging minimum distance when non-degenerate.