Position-momentum local realism violation of the Hardy type

Abstract

We show that it is, in principle, possible to perform local realism violating experiments of the Hardy type in which only position and momentum measurements are made on two particles emanating from a common source. In the optical domain, homodyne detection of the in-phase and out-of-phase amplitude components of an electromagnetic field is analogous to position and momentum measurement. Hence, local realism violations of the Hardy type are possible in optical systems employing only homodyne detection.

10 pages, no figures, to be published in Physical Review A

References in corpus (1)

• Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements

Cited by in corpus (9)

• Quantum information with continuous variables
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Quantum cryptography with a predetermined key, using continuous variable Einstein-Podolsky-Rosen correlations
• Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
• Bell inequalities for continuous-variable correlations
• Bell inequalities for Continuous-Variable Measurements
• Testing for Multipartite Quantum Nonlocality Using Functional Bell Inequalities
• Violations of Bell Inequalities for Measurements with Macroscopic Uncertainties: What does it Mean to Violate Macroscopic Local Realism?
• Second-second moments and two observers testing quantum nonlocality