Addendum to "Sufficient conditions for three-particle entanglement and their tests in recent experiments"

Details Addendum to "Sufficient conditions for three-particle entanglement and their tests in recent experiments" Addendum to "Sufficient conditions for three-particle entanglement and their tests in recent experiments"

2005-05-13

arxiv.org/abs/quant-ph/0505100v2

Physical Review A 72, 014101 (2005)

Physics

Quantum Physics

Two pages, no figures, revtex4; minor changes before publication

Scientific paper

10.1103/PhysRevA.72.014101

A recent paper [M. Seevinck and J. Uffink, Phys. Rev. A 65, 012107 (2002)] presented a bound for the three-qubit Mermin inequality such that the violation of this bound indicates genuine three-qubit entanglement. We show that this bound can be improved for a specific choice of observables. In particular, if spin observables corresponding to orthogonal directions are measured at the qubits (e.g., X and Y spin coordinates) then the bound is the same as the bound for states with a local hidden variable model. As a consequence, it can straightforwardly be shown that in the experiment described by J.-W. Pan et al. [Nature 403, 515 (2000)] genuine three-qubit entanglement was detected.

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