Analysis of css-t codes reveals good ldpc code sequences in binary extension fields, suggesting improved quantum error correction methods.
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 (C₁,C₂), Cᵢqⁿ, 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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Postema et al. (2025) studied this question.
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