A borrowed-identity condition unifies magic-state distillation across Clifford levels and output types, recovering all known distance-2 factories in one search and enabling malleable parent circuits.
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A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.
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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Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search
A borrowed-identity condition unifies magic-state distillation across Clifford levels and output types, recovering all known distance-2 factories in one search and enabling malleable parent circuits.
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A solvable model of 3d quantum gravity
A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.
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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.