Two postulates suffice to single out the full quantum theory in finite dimensions.
Postulate 1 (Local equivalence)For arbitrary systemsAandBand channelsΛandEfromAtoB, ifa(Λ(ρ))=a(E(ρ)) for all ρ∈St N(A) anda∈Eff(B), thenΛ =E
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Two Operational Principles Single Out Quantum Theory
Two postulates suffice to single out the full quantum theory in finite dimensions.