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Quantification of Gaussian quantum steering

Kogias, Ioannis; Lee, Antony R.; Ragy, Sammy; Adesso, Gerardo

Authors

Ioannis Kogias

Antony R. Lee

Sammy Ragy



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.

Journal Article Type Article
Publication Date Feb 12, 2015
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 114
Issue 6
APA6 Citation Kogias, I., Lee, A. R., Ragy, S., & Adesso, G. (2015). Quantification of Gaussian quantum steering. Physical Review Letters, 114(6), https://doi.org/10.1103/PhysRevLett.114.060403
DOI https://doi.org/10.1103/PhysRevLett.114.060403
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.060403
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information © 2015 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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