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A continuous-variable Bell inequality, valid for an arbitrary number ofobservers measuring observables with an arbitrary number of outcomes, wasrecently introduced in [Cavalcanti \emph{et al.}, Phys. Rev. Lett. {\bf 99},210405 (2007)]. We prove that any $n$-mode quantum state violating thisinequality with quadrature measurements necessarily has a negative partialtransposition. Our results thus establish the first link between nonlocalityand bound entanglement for continuous-variable systems.

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