Resource theory of quantum non-Gaussianity and Wigner negativity

Francesco Albarelli, Marco G. Genoni, Matteo G. A. Paris, and Alessandro Ferraro
Phys. Rev. A 98, 052350 – Published 28 November 2018

Abstract

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
3 More
  • Received 17 May 2018

DOI:https://doi.org/10.1103/PhysRevA.98.052350

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Francesco Albarelli*, Marco G. Genoni, and Matteo G. A. Paris

  • Quantum Technology Lab, Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano, I-20133 Milano, Italy

Alessandro Ferraro§

  • School of Mathematics and Physics, Queen's University, BT71NN Belfast, United Kingdom

  • *francesco.albarelli@unimi.it
  • marco.genoni@fisica.unimi.it
  • matteo.paris@fisica.unimi.it
  • §a.ferraro@qub.ac.uk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 98, Iss. 5 — November 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×