Quantum Nonlocality and Partial Transposition for Continuous-Variable Systems

2008/04/30 by Alejo Salles, Daniel Cavalcanti, Antonio Acín
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.101.040404

published as Phys. Rev. Lett. 101, 040404 (2008) · 4 pages, no figures; reference added, minor changes, close to published version

arxiv created 2008/07/25 · openalex publication_date 2008/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A continuous-variable Bell inequality, valid for an arbitrary number of observers measuring observables with an arbitrary number of outcomes, was recently introduced [Cavalcanti, Phys. Rev. Lett. 99, 210405 (2007)10.1103/PhysRevLett.99.210405]. 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.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Separability Criterion for Density Matrices
• Genuine tripartite entangled states with a local hidden-variable model
• All Bipartite Entangled States Display Some Hidden Nonlocality
• Die gegenw�rtige Situation in der Quantenmechanik
• On the Einstein Podolsky Rosen paradox
• Bell Inequalities for Continuous-Variable Correlations