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Classical representations for quantumlike systems through an axiomatics for context dependence  Bob Coecke
;  Date: 
14 Aug 2000  Journal:  Helvetica Physica Acta 70, 442461 (1997)  Subject:  Quantum Physics; Mathematical Physics  quantph mathph math.MP  Abstract:  We introduce a definition for a ’hidden measurement system’, i.e., a physical entity for which there exist: (i) ’a set of noncontextual states of the entity under study’ and (ii) ’a set of states of the measurement context’, and which are such that all uncertainties are due to a lack of knowledge on the actual state of the measurement context. First we identify an explicit criterion that enables us to verify whether a given hidden measurement system is a representation of a given couple $Si,{cal E}$ consisting of a set of states $Si$ and a set of measurements ${cal E}$ ($=$ measurement system). Then we prove for every measurement system that there exists at least one representation as a hidden measurement system with $[0,1]$ as set of states of the measurement context. Thus, we can apply this definition of a hidden measurement system to impose an axiomatics for context dependence. We show that in this way we always find classical representations (hidden measurement representations) for general nonclassical entities (e.g. quantum entities).  Source:  arXiv, quantph/0008061  Services:  Forum  Review  PDF  Favorites 


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