Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.060403
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Funding
- University of Nottingham (International Collaboration Fund)
- EPSRC
- Engineering and Physical Sciences Research Council
- Foundational Questions Institute [FQXi-RFP3-1317]
- Brazilian CAPES, Coordination for the Improvement of Higher Education Personnel [108/2012]
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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.
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