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Open AccessJournal ArticleDOI

Characterization of Gaussian operations and distillation of Gaussian states

Geza Giedke, +1 more
- 23 Sep 2002 - 
- Vol. 66, Iss: 3, pp 032316
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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.

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Citations
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Journal ArticleDOI

Quantum information with Gaussian states

TL;DR: This work reviews the properties and applications of Gaussian states in quantum information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups.
Journal ArticleDOI

Detecting genuine multipartite continuous-variable entanglement

TL;DR: In this paper, the authors derived necessary conditions in terms of the variances of position and momentum linear combinations for all kinds of separability of a multiparty multimode continuous-variable state.
Journal ArticleDOI

Non-Gaussian statistics from individual pulses of squeezed light.

TL;DR: The experimental observation of a degaussification protocol, mapping individual femtosecond pulses of squeezed light onto non-Gaussian states by using only simple linear optical elements is described.
Journal ArticleDOI

Introduction to the basics of entanglement theory in continuous-variable systems

TL;DR: In this article, the authors outline the basic questions that are being studied in any theory of entanglement, and present tools that have been developed for this theory are then applied to a number of problems.
References
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Book

Matrix Analysis

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

Ulf Leonhardt
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

Ulf Leonhardt
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

David Stoler
- 15 Oct 1971 - 
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.
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