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New Quantum Codes from CSS Codes (2208.05353v2)
Published 10 Aug 2022 in quant-ph, cs.IT, and math.IT
Abstract: We present a new propagation rule for CSS codes. Starting with a CSS code $[![n,k,d]!]_q$, we construct a CSS code with parameters $[![n-2,k,d-1]!]_q$. In general, one would only obtain a code with parameters $[![n-2,k,d-2]!]_q$. The construction applies to asymmetric quantum codes from the CSS construction as well.