Denis Rosset, Cyril Branciard, Nicolas Gisin, Yeong-Cherng Liang
Simulation tasks are insightful tools to compare information-theoretic resources. Using a generalization of usual Bell scenarios, we show that distillable entangled quantum states (and more generally states having non-positive partial transpose) exhibit correlations that cannot be simulated using only shared randomness and classical communication, even when the amount and rounds of classical communication involved are unrestricted. We indeed construct explicit Bell-like inequalities that are necessarily satisfied by such classical resources but nevertheless violated by correlations obtainable from the aforementioned entangled quantum states, when measured a single copy at a time.
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http://arxiv.org/abs/1211.3560
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