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arXiv · 1808.01198

Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems

Ana C. S. Costa·Roope Uola·Otfried Gühne
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Abstract

The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and R\'enyi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.

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Ana C. S. Costa, Roope Uola, Otfried Gühne. 2018-08-03. Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems. https://doi.org/10.3390/e20100763

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