Proof of a Conjecture on Contextuality in Cyclic Systems with Binary Variables
نویسندگان
چکیده
منابع مشابه
Proof of a Conjecture on Contextuality in Cyclic Systems with Binary Variables
We present a proof for a conjecture previously formulated by Dzhafarov, Kujala, and Larsson (Foundations of Physics, in press, arXiv:1411.2244). The conjecture specifies a measure for the degree of contextuality and a criterion (necessary and sufficient condition) for contextuality in a broad class of quantum systems. This class includes Leggett-Garg, EPR/Bell, and Klyachko-Can-Binicioglu-Shumo...
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The paper outlines a new development in the Contextualityby-Default theory as applied to finite systems of binary random variables. The logic and principles of the original theory remain unchanged, but the definition of contextuality of a system of random variables is now based on multimaximal rather than maximal couplings of the variables that measure the same property in different contexts: a...
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Contextuality-by-Default (CbD) is a mathematical framework for understanding the role of context in systems with deterministic inputs and random outputs. A necessary and sufficient condition for contextuality was derived for cyclic systems with binary outcomes. In quantum physics, the cyclic systems of ranks n = 5, 4, and 3 are known as systems of Klyachko-type, EPR-Bell-type, and Leggett-Garg-...
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ژورنال
عنوان ژورنال: Foundations of Physics
سال: 2015
ISSN: 0015-9018,1572-9516
DOI: 10.1007/s10701-015-9964-8