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

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  • 27 July 2001
Abstract
We review two conditions that distinguish between states of N particles in which all N particles are entangled to each other and states in which only M particles entangled (with M<N). These conditions are used to analyse recent experiments to obtain three-particle entangled states (Bouwmeester et al., Phys. Rev. Lett. 82, 1345 (1999); Pan et al. Nature 403, 515 (2000); and Rauschenbeutel et al., Science, 288, 2024, (2000)). It is shown that these experiments do not meet the conditions discussed here and can therefore not be considered as definitive confirmation of three-particle entanglement. We also discuss the modifications of the experiments which would make such confirmation possible.

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