Quantification of Gaussian quantum steering
arXiv:1410.1637 · doi:10.1103/PhysRevLett.114.060403
Abstract
Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns quantifying steerability. We introduce a computable measure of steering for arbitrary bipartite Gaussian states of continuous variable systems. For two-mode Gaussian states, the measure reduces to a form of coherent information, which is proven never to exceed entanglement, and to reduce to it on pure states. We provide an operational connection between our measure and the key rate in one-sided device-independent quantum key distribution. We further prove that Peres' conjecture holds in its stronger form within the fully Gaussian regime: namely, steering bound entangled Gaussian states by Gaussian measurements is impossible.
5 pages, 2 figures. Close to published version
References in corpus (14)
- Device-independent security of quantum cryptography against collective attacks
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Observation of one-way Einstein-Podolsky-Rosen steering
- Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement
- Determination of continuous variable entanglement by purity measurements
- Classifying directional Gaussian quantum entanglement, EPR steering and discord
- Multimode uncertainty relations and separability of continuous variable states
- Steering bound entangled states: A counterexample to the stronger Peres conjecture
- Fine-grained EPR-steering inequalities
- Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
Cited by in corpus (31)
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Remote generation of magnon Schrödinger cat state via magnon-photon entanglement
- Classifying directional Gaussian quantum entanglement, EPR steering and discord
- Schur complement inequalities for covariance matrices and monogamy of quantum correlations
- Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
- Manipulating the direction of Einstein-Podolsky-Rosen steering
- Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states
- Experimental demonstration of remotely creating Wigner negativity via quantum steering
- Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling
- Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
- Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
- Fermionic steering and its monogamy relations in Schwarzschild spacetime
- Einstein-Podolsky-Rosen steering measure for two-mode continuous variable states
- Experimental nonlocal steering of Bohmian trajectories
- Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
- Creating mirror-mirror quantum correlations in optomechanics
- Chirality-induced one-way quantum steering between two waveguide-mediated ferrimagnetic microspheres
- Swapping of Gaussian Einstein-Podolsky-Rosen steering
- Deterministic distribution of orbital angular momentum multiplexed continuous-variable entanglement and quantum steering
- Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
- Hexapartite steering based on a four-wave-mixing process with a spatially structured pump
- Enhancing the quantum entanglement and EPR steering of a coupled optomechanical system with a squeezed vacuum field
- Ideal pairing of the Stokes and anti-Stokes photons in the Raman process
- Einstein-Podolsky-Rosen uncertainty limits for bipartite multimode states
- Genuine multipartite nonlocality of permutationally invariant Gaussian states
- Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states
- Witnessing non-Markovianity with Gaussian quantum steering in collision model
- Demonstration of monogamy laws for Gaussian steering in optomechanics
- Optimal secure quantum teleportation of coherent states of light
- Manipulating the direction of one-way steering in an optomechanical ring cavity
- Necessary and sufficient criterion of steering for two-qubit T states