Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications

Xiang, Yu and Kogias, Ioannis and Adesso, Gerardo and He, Qiongyi (2017) Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications. Physical Review A, 95 . 010101(R). ISSN 2469-9926

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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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/840824
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1103/PhysRevA.95.010101
Depositing User: Adesso, Gerardo
Date Deposited: 24 Feb 2017 10:45
Last Modified: 04 May 2020 18:30
URI: http://eprints.nottingham.ac.uk/id/eprint/40780

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