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Gaussian quantum resource theories

Lami, Ludovico; Regula, Bartosz; Wang, Xin; Nichols, Rosanna; Winter, Andreas; Adesso, Gerardo


Ludovico Lami

Bartosz Regula

Xin Wang

Rosanna Nichols

Andreas Winter


We develop a general framework to assess capabilities and limitations of the Gaussian toolbox in continuous-variable quantum information theory. Our framework allows us to characterize the structure and properties of quantum resource theories specialized to Gaussian states and Gaussian operations, establishing rigorous methods for their description and yielding a unified approach to their quantification. We show in particular that, under a few intuitive and physically motivated assumptions on the set of free states, no Gaussian quantum resource can be distilled with free Gaussian operations, even when an unlimited supply of the resource state is available. This places fundamental constraints on state manipulations in all such Gaussian resource theories. We discuss in particular the applications to quantum entanglement, where we extend previously known results by showing that Gaussian entanglement cannot be distilled even with Gaussian operations preserving the positivity of the partial transpose, as well as to other Gaussian resources such as steering and optical nonclassicality. A comprehensive semidefinite programming representation of all these resources is explicitly provided.


Lami, L., Regula, B., Wang, X., Nichols, R., Winter, A., & Adesso, G. (2018). Gaussian quantum resource theories. Physical Review A, 98(2),

Journal Article Type Article
Acceptance Date Aug 1, 2018
Online Publication Date Aug 31, 2018
Publication Date Aug 31, 2018
Deposit Date Sep 6, 2018
Publicly Available Date Sep 6, 2018
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 98
Issue 2
Article Number 022335
Public URL


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