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Plos One : All-possible-couplings Approach to Measuring Probabilistic Context, Volume 8

By Adesso, Gerardo

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Book Id: WPLBN0003943543
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Plos One : All-possible-couplings Approach to Measuring Probabilistic Context, Volume 8  
Author: Adesso, Gerardo
Volume: Volume 8
Language: English
Subject: Journals, Science, Medical Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary)
Historic
Publication Date:
Publisher: Plos

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Adesso, G. (n.d.). Plos One : All-possible-couplings Approach to Measuring Probabilistic Context, Volume 8. Retrieved from http://www.nationalpubliclibrary.info/


Description
Description : From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may ‘‘directly’’ influence them, but (iii) other inputs provide a ‘‘context’’ for this response by influencing its probabilistic relations to other responses. These contextual influences are very different, say, in classical kinetic theory and in the entanglement paradigm of quantum mechanics, which are traditionally interpreted as representing different forms of physical determinism. One can mathematically construct systems with other types of contextuality, whether or not empirically realizable : those that form special cases of the classical type, those that fall between the classical and quantum ones, and those that violate the quantum type. We show how one can quantify and classify all logically possible contextual influences by studying various sets of probabilistic couplings, i.e., sets of joint distributions imposed on random outputs recorded at different (mutually incompatible) values of inputs.

 

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