English

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

Quantum Physics 2008-07-25 v2

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 nn-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.

Keywords

Cite

@article{arxiv.0804.4703,
  title  = {Quantum Non-locality and Partial Transposition for Continuous-Variable Systems},
  author = {Alejo Salles and Daniel Cavalcanti and Antonio Acín},
  journal= {arXiv preprint arXiv:0804.4703},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T10:35:48.973Z