Experimental test of quantum contextuality

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Experimental test of quantum contextuality

The Mermin-Peres squareConsider a four level system (two qubits) and the observables:A = σ z ⊗½, B =½⊗σ z , C = σ z ⊗ σ z ,a =½⊗σ x , b = σ x ⊗½, c = σ x ⊗ σ x ,α = σ z ⊗ σ x , β = σ x ⊗ σ z , γ = σ y ⊗ σ y .The observables in each row (R i ) and column (C j ) commuteand are compatible.If we assign to each of them a value v = ±1 independently ofthe row or column, we have3∏R i C i = +1i=1In QM: C 3 = Ccγ = −½, hence ∏ 3i=1 R iC i = −1.A. Peres, Phys. Lett. A 151, 107 (1990); D. Mermin, Phys. Rev. Lett. 65, 3373 (1990).

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