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Quantum Reed-Muller codes,

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quant-ph 1

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2026 1

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Homomorphic Quantum Error Correction

quant-ph · 2026-05-25 · unverdicted · novelty 6.0

Establishes necessary and sufficient criterion for [[n,1,d]] stabilizer codes to preserve code space under restricted transversal block-Pauli masking U_enc(a,b)=(X^a Z^b)^⊗n for homomorphic quantum error correction.

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  • Homomorphic Quantum Error Correction quant-ph · 2026-05-25 · unverdicted · none · ref 69

    Establishes necessary and sufficient criterion for [[n,1,d]] stabilizer codes to preserve code space under restricted transversal block-Pauli masking U_enc(a,b)=(X^a Z^b)^⊗n for homomorphic quantum error correction.