Steering Criteria from General Entropic Uncertainty Relations for Bipartite and Tripartite Systems
2018
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 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 EUR; and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Renyi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.
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