Two covariance-matrix-derived entropy families are proven to be fermionic non-Gaussianity monotones, yielding SWAP-gate lower bounds and classical-simulation upper bounds.
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Catalysis lowers the exact asymptotic entanglement cost for preparing multiple copies of a quantum state via an explicit protocol.
A convex geometry mechanism causes discrimination gaps for free states under restricted measurements, and these gaps are rigid against assistance unlike those with non-free states.
Two quantum states ρ₁ and ρ₂ commute exactly when tr(ρ₁²ρ₂²) = tr(ρ₁ ρ₂ ρ₁ ρ₂).
citing papers explorer
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Computable fermionic non-Gaussianity from the covariance matrix
Two covariance-matrix-derived entropy families are proven to be fermionic non-Gaussianity monotones, yielding SWAP-gate lower bounds and classical-simulation upper bounds.
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Catalytic advantage in asymptotic entanglement manipulation
Catalysis lowers the exact asymptotic entanglement cost for preparing multiple copies of a quantum state via an explicit protocol.
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Resourcefulness without Resource: Geometric Origins and Robustness
A convex geometry mechanism causes discrimination gaps for free states under restricted measurements, and these gaps are rigid against assistance unlike those with non-free states.
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Commutativity from a single Bargmann invariant equality
Two quantum states ρ₁ and ρ₂ commute exactly when tr(ρ₁²ρ₂²) = tr(ρ₁ ρ₂ ρ₁ ρ₂).