Quadratic Bell inequalities as tests for multipartite entanglement

Abstract

This letter presents quantum mechanical inequalities which distinguish, for systems of N spin- particles (N>2), between fully entangled states and states in which at most N-1 particles are entangled. These inequalities are stronger than those obtained by Gisin and Bechmann-Pasquinucci [Phys.\ Lett. A 246, 1 (1998)] and by Seevinck and Svetlichny [quant-ph/0201046].

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