Pairwise correlations in a three-partite quantum system from a prequantum random field |
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Authors: | Andrei Khrennikov |
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Institution: | 1.International Center for Mathematical Modelling in Physics and Cognitive Sciences,University of V?xj?,V?xj?,Sweden;2.Institute of Information Security,Russian State University for Humanities,Moscow,Russia |
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Abstract: | Prequantum classical statistical field theory (PCSFT) is a model that provides the possibility to represent the averages of
quantum observables (including correlations of observables on subsystems of a composite system) as averages with respect to
fluctuations of classical random fields. In view of the PCSFT terminology, quantum states are classical random fields. The
aim of our approach is to represent all quantum probabilistic quantities by means of classical random fields. We obtain the
classical-random-field representation for pairwise correlations in three-partite quantum systems. The three-partite case (surprisingly)
differs substantially from the bipartite case. As an important first step, we generalized the theory developed for pure quantum
states of bipartite systems to the states given by density operators. |
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Keywords: | |
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