Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry
Quantum Physics
2012-11-08 v1
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).
Keywords
Cite
@article{arxiv.1206.0105,
title = {Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry},
author = {Michel Planat and Metod Saniga},
journal= {arXiv preprint arXiv:1206.0105},
year = {2012}
}
Comments
10 pages, 2 figures