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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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DissertationDOI

Robustez do emaranhamento em variáveis contínuas e fotodetecção de feixes intensos no domínio espectral

TL;DR: It is shown that the tripartite system, prepared directly from the OPO and composed by the twin beams and the reflected pump field, is completely inseparable, the first observation of entanglement between three different frequencies of light.
Posted Content

From asymptotic hypothesis testing to entropy inequalities

TL;DR: Aquesta tesi tracta sobre the relacio entre el contrast d'hipotesis quantiques i les desigualtats entropiques en la teoria quantica de la informacio considerem dues configuracions principals, o be fixar els estats quantics i optimitzar sobre les possibles mesures, or be fixingar una mesura i avaluar the seva capacitat de discriminacio d'
Journal ArticleDOI

Interfacing nuclear spins in quantum dots to cavity or traveling-wave fields

TL;DR: In this paper, the authors show how to realize a quantum interface between optical fields and the polarized nuclear spins in a singly charged quantum dot, which is strongly coupled to a high-finesse optical cavity.

Generation and Manipulation of Entanglement in Quantum Optical Systems

Dan E. Browne
TL;DR: In this paper, several new procedures for the generation and manipulation of entangled states in quantum optical systems are introduced in terms of realistic models of the imperfect apparatus of any real laboratory implementation.
Journal ArticleDOI

Computable genuine multimode entanglement measure: Gaussian versus non-Gaussian

TL;DR: In this paper, the authors derived a closed-form expression of GGM in terms of the symplectic eigenvalues of the reduced states and analyzed the properties of the generalized geometric measure for typical three and four-mode Gaussian states.
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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