Resource theory of quantum non-Gaussianity and Wigner negativity

Francesco Albarelli, Marco G. Genoni, Matteo G. A. Paris, Alessandro Ferraro

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82 Citations (Scopus)
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We develop a resource theory for continuous-variable systems grounded on operations routinely available within current quantum technologies. In particular, the set of free operations is convex and includes quadratic transformations and conditional coarse-grained measurements. The present theory lends itself to quantify both quantum non-Gaussianity and Wigner negativity as resources, depending on the choice of the free-state set—i.e., the convex hull of Gaussian states or the states with positive Wigner function, respectively. After showing that the theory admits no maximally resourceful state, we define a computable resource monotone—the Wigner logarithmic negativity. We use the latter to assess the resource content of experimentally relevant states—e.g., photon-added, photon-subtracted, cubic-phase, and cat states—and to find optimal working points of some resource concentration protocols. We envisage applications of this framework to subuniversal and universal quantum information processing over continuous variables.
Original languageEnglish
Article number052350
Number of pages17
JournalPhys. Rev. A
Issue number5
Publication statusPublished - 28 Nov 2018


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