Proof of a Conjecture on Contextuality in Cyclic Systems with Binary Variables

Foundations of Physics 46 (3):282-299 (2016)
  Copy   BIBTEX


We present a proof for a conjecture previously formulated by Dzhafarov et al.. The conjecture specifies a measure for the degree of contextuality and a criterion for contextuality in a broad class of quantum systems. This class includes Leggett–Garg, EPR/Bell, and Klyachko–Can–Binicioglu–Shumovsky type systems as special cases. In a system of this class certain physical properties \ are measured in pairs \ \); every property enters in precisely two such pairs; and each measurement outcome is a binary random variable. Denoting the measurement outcomes for a property \ in the two pairs it enters by \ and \, the pair of measurement outcomes for \ \) is \ \). Contextuality is defined as follows: one computes the minimal possible value \ for the sum of \ ) that is allowed by the individual distributions of \ and \; one computes the minimal possible value \ for the sum of \ across all possible couplings of the entire set of random variables \ in the system; and the system is considered contextual if \ ). This definition has its justification in the general approach dubbed Contextuality-by-Default, and it allows for measurement errors and signaling among the measured properties. The conjecture proved in this paper specifies the value of \ in terms of the distributions of the measurement outcomes \ \)



    Upload a copy of this work     Papers currently archived: 74,213

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Do Quantum-Mechanical Systems Always Possess Definite Properties Dictated by Their States?Tomasz Bigaj - 2006 - Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):375-394.
Logical Bell Inequalities.Samson Abramsky & Lucien Hardy - 2012 - Physical Review A 85:062114-1 - 062114-11.
The Bell Inequalities.Peter Rastall - 1983 - Foundations of Physics 13 (6):555-570.
Reassessment of Leggett Inequality.Antonio Di Lorenzo - 2013 - Foundations of Physics 43 (5):685-698.


Added to PP

10 (#881,336)

6 months
1 (#414,449)

Historical graph of downloads
How can I increase my downloads?