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Nonclassicality tests by classical bounds on the statistics of multiple outcomes
Author(s) -
Alfredo Luis
Publication year - 2010
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.82.024101
Subject(s) - physics , observable , kullback–leibler divergence , divergence (linguistics) , statistical physics , outcome (game theory) , entropy (arrow of time) , quantum , statistics , simple (philosophy) , quantum mechanics , mathematical economics , mathematics , linguistics , philosophy , epistemology
We derive simple practical tests revealing the quantum nature of states by the violation of classical upper bounds on the statistics of multiple outcomes of an observable. These criteria can be expressed in terms of the Kullback-Leibler divergence (or relative entropy). Nonclassicality tests for multiple outcomes can be satisfied by states that do not fulfill the corresponding single-outcome criteria

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