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Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications

Xiang, Yu; Kogias, Ioannis; Adesso, Gerardo; He, Qiongyi

Authors

Yu Xiang

Ioannis Kogias

Qiongyi He



Abstract

We derive laws for the distribution of quantum steering among different parties in multipartite Gaussian states under Gaussian measurements. We prove that a monogamy relation akin to the generalized Coffman-Kundu-Wootters inequality holds quantitatively for a recently introduced measure of Gaussian steering. We then define the residual Gaussian steering, stemming from the monogamy inequality, as an indicator of collective steering-type correlations. For pure three-mode Gaussian states, the residual acts as a quantifier of genuine multipartite steering, and is interpreted operationally in terms of the guaranteed key rate in the task of secure quantum secret sharing. Optimal resource states for the latter protocol are identified, and their possible experimental implementation discussed. Our results pin down the role of multipartite steering for quantum communication.

Citation

Xiang, Y., Kogias, I., Adesso, G., & He, Q. (2017). Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications. Physical Review A, 95, https://doi.org/10.1103/PhysRevA.95.010101

Journal Article Type Article
Acceptance Date Dec 20, 2016
Publication Date Jan 12, 2017
Deposit Date Feb 24, 2017
Publicly Available Date Feb 24, 2017
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9926
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 95
Article Number 010101(R)
DOI https://doi.org/10.1103/PhysRevA.95.010101
Public URL http://eprints.nottingham.ac.uk/id/eprint/40780
Publisher URL http://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.010101
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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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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