CSS-T Codes from Reed Muller Codes for Quantum Fault Tolerance

05/10/2023

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by   Emma Andrade, et al.

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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.