Einstein-Podolsky-Rosen-steering using quantum correlations in non-Gaussian entangled states

Abstract

In view of the increasing importance of non-Gaussian entangled states in quantum information protocols like teleportation and violations of Bell inequalities, the steering of continuous variable non-Gaussian entangled states is investigated. The EPR steering for Gaussian states may be demonstrated through the violation of the Reid inequality involving products of the inferred variances of non-commuting observables. However, for arbitrary states the Reid inequality is not always necessary because of the higher order correlations in such states. One then needs to use the entropic steering inequality. We examine several classes of currently important non-Gaussian entangled states, such as the two-dimensional harmonic oscillator, the photon subtracted two mode squeezed vacuum, and the NOON state, in order to demonstrate the steering property of such states. A comparative study of the violation of the Bell-inequality for these states shows that the entanglement present is more easily revealed through steering compared to Bell-violation for several such states.

11 pages, 4 figures

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Cited by in corpus (31)

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• Directional Dicke Subradiance with Nonclassical and Classical Light Sources
• Role of thermal noise in tripartite quantum steering
• Stronger steerability criterion for more uncertain continuous variable systems
• Entropic entanglement criteria in phase space
• Tighter Einstein-Podolsky-Rosen steering inequality based on the sum uncertainty relation
• Quantum Correlations from the Conditional Statistics of Incomplete Data
• Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
• Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
• Hierarchies of multipartite entanglement for continuous-variable states
• Efficient Scheme for Perfect Collective Einstein-Podolsky-Rosen Steering
• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• Operational characterization of quantumness of unsteerable bipartite states
• Homodyne detection of non-Gaussian quantum steering
• Continuous variable quantum teleportation in a dissipative environment: Comparison of non-Gaussian operations before and after noisy channel
• Measurement incompatibility and Channel Steering
• Relative entropic uncertainty relation for scalar quantum fields
• Efficient detection of nonclassicality using moments of the Wigner function
• Role of maximally entangled states in the context of linear steering inequalities
• Characterization of the quantumness of unsteerable tripartite correlations
• "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
• Environmental effects on nonlocal correlations
• A tighter steering criterion using the Robertson-Schrodinger uncertainty relation
• Non-Gaussian two mode squeezed thermal states in continuous variable quantum teleportation
• Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
• Creation of bipartite steering correlations by a fast damped auxiliary mode
• Operational nonlocality
• Nonlocality in Continuous-Variable Quantum Networks