Collective Uncertainty Entanglement Test

Abstract

For a given pure state of a composite quantum system we analyze the product of its projections onto a set of locally orthogonal separable pure states. We derive a bound for this product analogous to the entropic uncertainty relations. For bipartite systems the bound is saturated for maximally entangled states and it allows us to construct a family of entanglement measures, we shall call collectibility. As these quantities are experimentally accessible, the approach advocated contributes to the task of experimental quantification of quantum entanglement, while for a three-qubit system it is capable to identify the genuine three-party entanglement.

4 pages, 3 figures

References in corpus (2)

• Entanglement detection
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment

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