Five-Qubit Contextuality, Noise-Like Distribution of Distances Between   Maximal Bases and Finite Geometry
  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). 
Michel Planat and Metod Saniga
quant-ph