Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
arXiv:0804.4703 · doi:10.1103/PhysRevLett.101.040404
Abstract
A continuous-variable Bell inequality, valid for an arbitrary number of observers measuring observables with an arbitrary number of outcomes, was recently introduced in [Cavalcanti \emph{et al.}, Phys. Rev. Lett. {\bf 99}, 210405 (2007)]. We prove that any -mode quantum state violating this inequality with quadrature measurements necessarily has a negative partial transposition. Our results thus establish the first link between nonlocality and bound entanglement for continuous-variable systems.
4 pages, no figures; reference added, minor changes, close to published version
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