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No-activation theorem for Gaussian nonclassical correlations by Gaussian operations

Mišta, Ladislav; McNulty, Daniel; Adesso, Gerardo

Authors

Ladislav Mišta

Daniel McNulty



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.

Citation

Mišta, L., McNulty, D., & Adesso, G. (2014). No-activation theorem for Gaussian nonclassical correlations by Gaussian operations. Physical Review A, 90(2), https://doi.org/10.1103/PhysRevA.90.022328

Journal Article Type Article
Acceptance Date Jun 25, 2014
Publication Date Aug 25, 2014
Deposit Date Oct 11, 2017
Publicly Available Date Oct 11, 2017
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 90
Issue 2
DOI https://doi.org/10.1103/PhysRevA.90.022328
Public URL http://eprints.nottingham.ac.uk/id/eprint/47211
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.022328
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2014 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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