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arXiv · 2507.17611

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations

Jasper J. Postema·F. Conca·A. Ravagnani
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Abstract

We investigate the class of CSS-$T$ codes, a family of quantum error-correcting codes that allows for a transversal $T$-gate. We extend the definition of a pair of linear codes $(C_1,C_2)$, $C_i\subseteq\mathbb{F}_q^n$, forming a $q$-ary CSS-$T$ code over binary extension fields, and demonstrate the existence of asymptotically good sequences of LDPC CSS-$T$ codes over any such field.

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Jasper J. Postema, F. Conca, A. Ravagnani. 2025-07-23. CSS-$T$ codes over Binary Extension Fields and their Physical Foundations. https://arxiv.org/abs/2507.17611

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