Quantum Non-locality and Partial Transposition for Continuous-Variable Systems

Details Quantum Non-locality and Partial Transposition for Continuous-Variable Systems Quantum Non-locality and Partial Transposition for Continuous-Variable Systems

2008-04-29

arxiv.org/abs/0804.4703v2

Phys. Rev. Lett. 101, 040404 (2008)

Physics

Quantum Physics

4 pages, no figures; reference added, minor changes, close to published version

Scientific paper

10.1103/PhysRevLett.101.040404

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 $n$-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.

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