CSS-T codes are a class of stabilizer codes introduced by Rengaswami et al with desired properties for quantum fault-tolerance. In this work, we give a comprehensive study of CSS-T codes built from Reed-Muller codes. These classical codes allow for the construction of CSST code families with non-vanishing asymptotic rate up to 1/2 and possibly diverging minimum distance. This desirable property enables constant overhead magic state distillation.

翻译：CSS-T码是由Rengaswami等人引入的一类稳定子码，具备用于量子容错的理想性质。本文对基于Reed-Muller码构造的CSS-T码进行了系统研究。这类经典码可构造出渐近速率高达1/2且最小距离可能发散的CSS-T码族，这一优良性质使得恒定开销的魔法态蒸馏成为可能。