Nonlocality of two- and three-mode continuous variable systems

Abstract

We address nonlocality of a class of fully inseparable three-mode Gaussian states generated either by bilinear three-mode Hamiltonians or by a sequence of bilinear two-mode Hamiltonians. Two different tests revealing strong nonlocality are considered, in which the dichotomic Bell operator is represented by displaced parity and by pseudospin operator respectively. Three-mode states are also considered as a conditional source of two-mode non Gaussian states, whose nonlocal properties are analyzed. We found that the non Gaussian character of the conditional states allows violation of Bell's inequalities (by parity and pseudospin tests) stronger than with a conventional twin-beam state. However, the non Gaussian character is not sufficient to reveal nonlocality thorough a dichotomized quadrature measurement strategy.

17 pages, 7 figures. A paragraph concerning the choice of the displacement parameters has been added (Sec. 3.1). References and comparison with other proposals added (Sec. 4)

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Cited by in corpus (25)

• Quantifying non-Gaussianity for quantum information
• Convex resource theory of non-Gaussianity
• Non-Gaussianity as a signature of a quantum theory of gravity
• Photon subtracted states and enhancement of nonlocality in the presence of noise
• More nonlocality with less entanglement in a tripartite atom-optomechanical system
• Testing Bell inequalities with photon-subtracted Gaussian states
• Characterization of bipartite states using a single homodyne detector
• Tests of multimode quantum non-locality with homodyne measurements
• Non-Gaussian states produced by close-to-threshold optical parametric oscillators: role of classical and quantum fluctuations
• Theory of genuine tripartite nonlocality of Gaussian states
• Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
• Testing genuine multipartite nonlocality in phase space
• Two proposals for testing quantum contextuality of continuous-variable states
• Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
• De-Gaussification by inconclusive photon subtraction
• High-dimensional quantum encoding via photon-subtracted squeezed states
• Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
• Response in violation of Bell inequality to imperfect photon addition and subtraction in noisy squeezed states of light
• Bell's inequality violation by dynamical Casimir photons in a superconducting microwave circuit
• Genuine multipartite nonlocality of permutationally invariant Gaussian states
• Single-particle steering and nonlocality: The consecutive Stern-Gerlach Experiments
• Detecting Nonclassicality and quantum non-Gaussianity of photon subtracted displaced Fock state
• Regularised Tripartite Continuous Variable EPR-type States with Wigner Functions and CHSH Violations
• Nearly maximal violation of the Mermin-Klyshko inequality with multimode entangled coherent states
• Analyzing the free states of one quantum resource theory as resource states of another