No-activation theorem for Gaussian nonclassical correlations by Gaussian operations

Mišta, Ladislav and McNulty, Daniel and Adesso, Gerardo (2014) No-activation theorem for Gaussian nonclassical correlations by Gaussian operations. Physical Review A, 90 (2). 022328-1. ISSN 2469-9934

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Abstract

We study general quantum correlations of continuous variable Gaussian states and their interplay with entanglement. Specifically, we investigate the existence of a quantum protocol activating all nonclassical correlations between the subsystems of an input bipartite continuous variable system, into output entanglement between the system and a set of ancillae. For input Gaussian states, we prove that such an activation protocol cannot be accomplished with Gaussian operations, as the latter are unable to create any output entanglement from an initial separable yet nonclassical state in a worst-case scenario. We then construct a faithful non-Gaussian activation protocol, encompassing infinite-dimensional generalizations of controlled-not gates to generate entanglement between system and ancillae, in direct analogy with the finite-dimensional case. We finally calculate the negativity of quantumness, an operational measure of nonclassical correlations defined in terms of the performance of the activation protocol, for relevant classes of two-mode Gaussian states.

Item Type: Article
Additional Information: ©2014 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevA.90.022328
Depositing User: Eprints, Support
Date Deposited: 11 Oct 2017 14:22
Last Modified: 12 Oct 2017 15:27
URI: http://eprints.nottingham.ac.uk/id/eprint/47211

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