Gaussian quantum steering and its asymmetry in curved spacetime

Abstract

We study Gaussian quantum steering and its asymmetry in the background of a Schwarzschild black hole. We present a Gaussian channel description of quantum state evolution under the influence of the Hawking radiation. We find that thermal noise introduced by Hawking effect will destroy the steerability between an inertial observer Alice and an accelerated observer Bob who hovers outside the event horizon, while it generates steerability between Bob and a hypothetical observer anti-Bob inside the event horizon. Unlike entanglement behaviors in curved spacetime, here the steering from Alice to Bob suffers from a "sudden death" and the steering from anti-Bob to Bob experiences a "sudden birth" with increasing Hawking temperature. We also find that the Gaussian steering is always asymmetric and the maximum steering asymmetry cannot exceed $\ln 2$, which means the state never evolves to an extremal asymmetry state. Furthermore, we obtain the parameter settings that maximize steering asymmetry and find that (i) $s=arccosh(\frac{{\cosh }^{2}r}{1-{\sinh }^{2}r})$ is the critical point of steering asymmetry, and (ii) the attainment of maximal steering asymmetry indicates the transition between one-way steerability and both-way steerability for the two-mode Gaussian state under the influence of Hawking radiation.

7 pages, 3 figures, to appear in Phys. Rev. D

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Cited by in corpus (25)

• Fermionic steering and its monogamy relations in Schwarzschild spacetime
• The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
• Maximal steered coherence in the background of Schwarzschild space-time
• Basis-independent quantum coherence and its distribution under relativistic motion
• How the relativistic motion affects Einstein-Podolsky-Rosen steering
• Generation of genuine tripartite entanglement for continuous variables in de Sitter space
• Gaussian tripartite steering in Schwarzschild black hole
• Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects
• Satellite-based quantum steering under the influence of spacetime curvature of the Earth
• Dynamical Gaussian quantum steering in optomechanics
• Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole
• Schwinger effect of Gaussian correlations in constant electric fields
• Gaussian quantum steering under the influence of a dilaton black hole
• Gravity enhanced quantum spatial target detection
• Quantum steering for continuous variable in de Sitter space
• Quantum steering for different types of Bell-like states in gravitational background
• Quantumness near the Schwarzschild black hole based on W-state
• Entanglement-enhanced quantum ranging in the near-Earth spacetime
• Quantum conditional mutual information of W state in non-inertial frames
• Distribution and generation of quantum coherence for Gaussian states in de Sitter space
• Decoherence of Dirac-particle quantumness for fermionic fields in a dilatonic black hole
• Manipulating the direction of one-way steering in an optomechanical ring cavity
• Tripartite quantum steering in Schwarzschild spacetime
• Impact of the Unruh effect on the estimation precision of Gaussian channel parameters
• Generating Asymmetric Einstein-Podolsky-Rosen Steering between Two movable Mirrors Exploiting Correlated-Emission Laser