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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

Multi-mode bosonic Gaussian channels

TL;DR: A canonical matrix form is derived of the noisy evolution of n-mode bosonic Gaussian channels and of their weak complementary counterparts, based on a recent generalization of the normal mode decomposition for non-symmetric or locality constrained situations.
Journal Article

Hybrid quantum information processing

TL;DR: This paper presents a probabilistic simulation of the response of the immune system to high-energy particle collisions and shows clear patterns in response to the proton-proton collision.
Journal ArticleDOI

Theoretical and experimental aspects of quantum discord and related measures

TL;DR: In this paper, a short review about the quantum nature of correlations, discussing both its theoretical and experimental aspects, is provided, where the authors focus on quantum discord and related measures.
Journal ArticleDOI

Distillation of continuous-variable entanglement with optical means

TL;DR: In this paper, an event-ready procedure that is capable of distilling Gaussian two-mode entangled states from a supply of weakly entangled states that have become mixed in a decoherence process is presented.
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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