Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.
(23) Any two-qubit reduced state of |Wn⟩ is easily shown to be: τn := 2 n |Ψ+⟩ ⟨Ψ+|+ n − 2 n |00⟩ ⟨00|, (24) where |Ψ± ⟩ = 1√ 2 (|01⟩ ± | 10⟩)
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Nonlocality of Quantum States can be Transitive
Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.