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).

10 pages, 2 figures

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Cited by in corpus (8)

• On small proofs of Bell-Kochen-Specker theorem for two, three and four qubits
• Quantum Contextuality
• Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces
• Arbitrarily exhaustive hypergraph generation of 4-, 6-, 8-, 16-, and 32-dimensional quantum contextual sets
• New Examples of Kochen-Specker Type Configurations on Three Qubits
• Vector Generation of Contextual Sets
• Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions
• Generation of Kochen-Specker contextual sets in higher dimensions by dimensional upscaling whose complexity does not scale with dimension and their applications