Testing quantum nonlocality by generalized quasiprobability functions

Abstract

We derive a Bell inequality based on a generalized quasiprobability function which is parameterized by one non-positive real value. Two types of known Bell inequalities formulated in terms of the Wigner and Q functions are included as limiting cases. We investigate violations of our Bell inequalities for single photon entangled states and two-mode squeezed vacuum states when varying the detector efficiency. We show that the Bell inequality for the Q function allows the lowest detection efficiency for violations of local realism.

6 pages, 3 figures

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• Hybrid methods for witnessing entanglement in a microscopic-macroscopic system
• Proposal for a Bell test in cavity optomagnonics
• Violation of Bell's Inequality in Electromechanics
• Demonstrating nonclassicality and non-Gaussianity of single-mode fields: Bell-type tests using generalized phase-space distributions
• Robust nonlocality tests with displacement-based measurements
• Testing genuine multipartite nonlocality in phase space
• Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
• Testing the Clauser-Horne-Shimony-Holt inequality using observables with arbitrary spectrum
• Proposal for a macroscopic test of local realism with phase-space measurements
• Single-photon quantum nonlocality: Violation of the Clauser-Horne-Shimony-Holt inequality using feasible measurement setups
• Verifying single-mode nonclassicality beyond negativity in phase space
• Witnessing entanglement in phase space using inefficient detectors
• Entanglement and nonlocality of one- and two-mode combination squeezed state
• High-dimensional Bell test for a continuous variable state in phase space and its robustness to detection inefficiency
• Comparison of Qubit and Qutrit like Entangled Squeezed and Coherent States of Light
• Noise-adaptive test of quantum correlations with quasiprobability functions
• Constructing local models for general measurements on bosonic Gaussian states