Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems

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 applicabi...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2018-10, Vol.20 (10), p.763
Main Authors: Costa, Ana, Uola, Roope, Gühne, Otfried
Format: Article
Language:English
Subjects:
entropic uncertainty relation
general entropies
steering
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Summary: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 Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.
ISSN:1099-4300
1099-4300
DOI:10.3390/e20100763