Quantification of Gaussian quantum steering

Kogias, Ioannis and Lee, Antony R. and Ragy, Sammy and Adesso, Gerardo (2015) Quantification of Gaussian quantum steering. Physical Review Letters, 114 (6). 060403-1-060403-6. ISSN 1079-7114

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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.

Item Type: Article
Additional Information: © 2015 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevLett.114.060403
Depositing User: Eprints, Support
Date Deposited: 11 Oct 2017 10:51
Last Modified: 14 Oct 2017 16:57
URI: http://eprints.nottingham.ac.uk/id/eprint/47181

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