title: 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.
authors: Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, PL-02-668 Warsaw, Poland. rudnicki@cft.edu.pl
authors: Łukasz
authors: Ł
authors: Rudnicki
authors: Paweł
authors: P
authors: Horodecki
authors: Karol
authors: K
authors: Zyczkowski