A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
Triorthogonal codes and self-dual codes,
4 Pith papers cite this work. Polarity classification is still indexing.
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Classical repetition-code framing plus SAT search yields no-go theorems (no d>3 T-to-T on <8 qubits) and the smallest known unitary factories for d=4,5 T-states (10–11 qubits) and d=3,4 CCZ-states (9–10 qubits).
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.
A homological framework identifies necessary and sufficient obstruction conditions for transversal logical diagonal gates in quantum CSS codes.
citing papers explorer
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Asymptotic magic state distillation with almost linear rate
A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
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Exploring the landscape of compact magic-state distillation factories
Classical repetition-code framing plus SAT search yields no-go theorems (no d>3 T-to-T on <8 qubits) and the smallest known unitary factories for d=4,5 T-states (10–11 qubits) and d=3,4 CCZ-states (9–10 qubits).
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Homomorphic Quantum Error Correction
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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Homological origin of transversal implementability of logical diagonal gates in quantum CSS codes
A homological framework identifies necessary and sufficient obstruction conditions for transversal logical diagonal gates in quantum CSS codes.