Characterization of Gaussian operations and distillation of Gaussian states
Geza Giedke,J. Ignacio Cirac +1 more
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TLDR
It is shown that Gaussian states cannot be distilled by local Gaussian operations and classical communication, and positive (but not completely positive) Gaussian maps are defined.Abstract:
We characterize the class of all physical operations that transform Gaussian states to Gaussian states. We show that this class coincides with that of all operations that can be performed on Gaussian states using linear optical elements and homodyne measurements. For bipartite systems we characterize the processes that can be implemented by local operations and classical communication, as well as those that can be implemented using positive partial transpose preserving maps. As an application, we show that Gaussian states cannot be distilled by local Gaussian operations and classical communication. We also define and characterize positive (but not completely positive) Gaussian maps.read more
Citations
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An operational resource theory of continuous-variable nonclassicality
TL;DR: In this paper, a general operational framework for studying nonclassicality as a resource in networks of passive linear elements and measurements with feed-forward is proposed, based on the quantum fluctuations of quadratures.
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Multimode theory of measurement-induced non-Gaussian operation on wideband squeezed light: Analytical formula
TL;DR: In this article, a multimode theory was developed to design the frequency mode matching in the photon-subtracting operation by an on/off-type photon detector on a wideband squeezed light.
Quantum Information Processing with Atoms and Photons
TL;DR: In this article, the authors present new tools for the study of quantum systems and propose several novel schemes for practical applications in quantum information science and explore two main topics, engineered dissipation and light-matter quantum interfaces.
Journal ArticleDOI
Distillation of squeezing from non-Gaussian quantum states.
Joel Heersink,Ch. Marquardt,Ruifang Dong,Radim Filip,S. Lorenz,Gerd Leuchs,Ulrik L. Andersen +6 more
TL;DR: It is shown that single copy distillation of squeezing from continuous variable non-Gaussian states is possible using linear optics and conditional homodyne detection and probabilistic recovery of squeezing is observed.
Journal ArticleDOI
Gaussian entanglement revisited
TL;DR: A novel approach to the separability problem for Gaussian quantum states of bosonic continuous variable systems is presented, which relies on convex optimisation over marginal covariance matrices on one subsystem only and retrieves the PPT-separability equivalence for specific classes of Gaussian states.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Measuring the Quantum State of Light
TL;DR: In this paper, the authors present a method for simultaneous measurement of position and momentum in a simple optical instrument with respect to the quantum theory of light and quasiprobability distribution.
Book
Measuring the Quantum State of Light
TL;DR: In this paper, the authors present a method for simultaneous measurement of position and momentum in a simple optical instrument with respect to the quantum theory of light and quasiprobability distribution.
Journal ArticleDOI
Generalized Coherent States
TL;DR: In this paper, the generalized coherent states were studied using an operator technique similar to one we have used in a previous paper, and an alternative derivation of the most general coherent state was provided.