Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations

Details Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations

2002-01-11

arxiv.org/abs/quant-ph/0201046v4

Phys. Rev. Lett. 89, 060401 (2002)

Physics

Quantum Physics

4 pages, Published by Physical Review Letters. Final version

Scientific paper

10.1103/PhysRevLett.89.060401

We derive N-particle Bell-type inequalities under the assumption of partial separability, i.e. that the N-particle system is composed of subsystems which may be correlated in any way (e.g. entangled) but which are uncorrelated with respect to each other. These inequalities provide, upon violation, experimentally accessible sufficient conditions for full N-particle entanglement, i.e. for N-particle entanglement that cannot be reduced to mixtures of states in which a smaller number of particles are entangled. The inequalities are shown to be maximally violated by the N-particle Greenberger-Horne-Zeilinger (GHZ) states.

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