Resource theory of quantum non-Gaussianity and Wigner negativity
By F. Albarelli, Marco G. Genoni, Matteo G. A. Paris, A. Ferraro. Physical Review A, 2018
234 citations recorded by the source corpus.
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 CV-mana. 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 sub-universal and universal quantum information processing over continuous variables.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/06434ee0ab382f8f4aa665714e04a09bbbbf6bb2
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Modes and states in quantum optics (2019, background): “Another intrinsic and additive quantity, related to the volume N of the negative part of the Wigner function is the Wigner logarithmic negativity (Albarelli et al., 2018; Kenfack and Życzkowski, 2004):”