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arXiv · 2305.06423

CSS-T Codes from Reed Muller Codes

Emma Andrade·Jessalyn Bolkema·Thomas Dexter·Harrison Eggers·Victoria Luongo·Felice Manganiello·Luke Szramowski
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Abstract

CSS-T codes are a class of stabilizer codes introduced by Rengaswamy \emph{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 CSS-T code families with nonvanishing asymptotic rates up to $\frac{1}2$ and possibly diverging minimum distance when non-degenerate.

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Emma Andrade, Jessalyn Bolkema, Thomas Dexter, Harrison Eggers, Victoria Luongo, Felice Manganiello, Luke Szramowski. 2023-05-10. CSS-T Codes from Reed Muller Codes. https://doi.org/10.1109/jsait.2025.3583217

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