Quantification of Gaussian quantum steering

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

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.

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

• Journal Article Type: Article
• Acceptance Date: Dec 12, 2014
• Publication Date: Feb 12, 2015
• Deposit Date: Oct 11, 2017
• Publicly Available Date: Oct 11, 2017
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 114
• Issue: 6
• DOI: https://doi.org/10.1103/PhysRevLett.114.060403
• Public URL: https://nottingham-repository.worktribe.com/output/745079
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.060403
• Additional Information: © 2015 American Physical Society