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We derive N-particle Bell-type inequalities under the assumption of partialseparability, i.e. that the N-particle system is composed of subsystems whichmay be correlated in any way (e.g. entangled) but which are uncorrelated withrespect to each other. These inequalities provide, upon violation,experimentally accessible sufficient conditions for full N-particleentanglement, i.e. for N-particle entanglement that cannot be reduced tomixtures of states in which a smaller number of particles are entangled. Theinequalities are shown to be maximally violated by the N-particleGreenberger-Horne-Zeilinger (GHZ) states.Comment: 4 pages, Published by Physical Review Letters. Final versio

physical review letters

Bell-Type Inequalities for Partial Separability in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Particle Systems and Quantum Mechanical Violations

Bell-Type Inequalities for Partial Separability inN-Particle Systems and Quantum Mechanical Violations