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arXiv · 1409.7290

Entropic Version of the Greenberger-Horne-Zeilinger Paradox

Sadegh Raeisi·Pawel Kurzynski·Dagomir Kaszlikowski
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Abstract

Consider four binary +-1 variables A, B, C and D for which classical reasoning implies ABCD = 1. In this case the knowledge of A, B, C automatically provides knowledge of D because D = ABC. However, the Greenberger-Horne-Zeilinger paradox shows that despite classical prediction one can find quantum states and observables with well defined outcomes for which D = -ABC. In this work we formulate an information-theoretic version of this paradox. We show that for a tripartite quantum system one can find a set of four properties for which classical reasoning implies that D = ABC, yet quantum theory predicts that one can know everything about A, B, C and nothing about D.

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Sadegh Raeisi, Pawel Kurzynski, Dagomir Kaszlikowski. 2014-09-25. Entropic Version of the Greenberger-Horne-Zeilinger Paradox. https://arxiv.org/abs/1409.7290

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