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arXiv · 1310.5644

On compression of non-classically correlated bit strings

Pawel Kurzynski·Marcin Markiewicz·Dagomir Kaszlikowski
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Abstract

In this short note we present a new approach to non-classical correlations that is based on the compression rates for bit strings generated by Alice and Bob. We use normalised compression distance introduced by Cilibrasi and Vitanyi to derive information-theoretic inequalities that must be obeyed by classically correlated bit strings and that are violated by PR-boxes. We speculate about a violation of our inequalities by quantum mechanical correlations.

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Pawel Kurzynski, Marcin Markiewicz, Dagomir Kaszlikowski. 2014-01-03. On compression of non-classically correlated bit strings. https://arxiv.org/abs/1310.5644

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