A tomographic approach to quantum nonlocality

Abstract

We propose a tomographic approach to study quantum nonlocality in continuous variable quantum systems. On one hand we derive a Bell-like inequality for measured tomograms. On the other hand, we introduce pseudospin operators whose statistics can be inferred from the data characterizing the reconstructed state, thus giving the possibility to use standard Bell's inequalities. Illuminating examples are also discussed.

12 pages, 6 figures, IOP style, to appear in the Special Issue of J Opt.B connected with Wigner Centennial conference (references added and updated)

References in corpus (4)

• Maximal Violation of Bell's Inequalities for Continuous Variable Systems
• Maximal Violation of Bell Inequalities using Continuous Variables Measurements
• Continuous-variable Werner state: separability, nonlocality, squeezing and teleportation
• Greenberger-Horne-Zeilinger nonlocality for continuous variable systems

Cited by in corpus (7)

• Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
• Nonlocality of two- and three-mode continuous variable systems
• Tomographic discord for a system of two coupled nanoelectric circuits
• Quantum process in probability representation of quantum mechanics
• Qubit portrait of the photon-number tomogram and separability of two-mode light states
• A probabilistic approach to quantum mechanics based on tomograms
• Probability Representation of Quantum Mechanics: Comments and Bibliography