Introduces Bargmann scenarios and polytopes to fully characterize and organize the witnessing power of Bargmann invariants for coherence in sets of states.
Fujii, Exchange gate on the qudit space and Fock space, Journal of Optics B: Quantum and Semiclassical Optics5, S613 (2003)
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Two quantum states ρ₁ and ρ₂ commute exactly when tr(ρ₁²ρ₂²) = tr(ρ₁ ρ₂ ρ₁ ρ₂).
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Bargmann Scenarios
Introduces Bargmann scenarios and polytopes to fully characterize and organize the witnessing power of Bargmann invariants for coherence in sets of 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).