Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry - Archive ouverte HAL Access content directly
Journal Articles Physics Letters A Year : 2012

Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry

Abstract

Employing five commuting sets of five-qubit observables, we propose specific $160-661$ and $160-21$ state proofs of the Bell-Kochen-Specker theorem that are also proofs of Bell's theorem. A histogram of the 'Hilbert-Schmidt' distances between the corresponding maximal bases shows in both cases a noise-like behaviour. The five commuting sets are also ascribed a finite-geometrical meaning in terms of the structure of symplectic polar space $W(9,2)$.
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Dates and versions

hal-00703166 , version 1 (01-06-2012)

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Michel Planat, Metod Saniga. Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry. Physics Letters A, 2012, 376, pp.3485-3490. ⟨10.1016/j.physleta.2012.10.020⟩. ⟨hal-00703166⟩
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