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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Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
TL;DR: In this article, the structural aspects of genuine multipartite entanglement in Gaussian states of continuous variable systems were investigated, and the explicit expression of the measure of residual genuine MPE was derived, by a recursive formula, for a subclass of non-symmetric states.
Journal ArticleDOI
Continuous-variable-entanglement distillation with photon addition
TL;DR: In this paper, photon addition (PA) can be employed to provide an additional enhancement in both the quality of distilled entanglement and the success probability if the input state is a weak two-mode squeezed vacuum state.
Journal ArticleDOI
On the Choi-Jamiolkowski Correspondence in Infinite Dimensions
TL;DR: In this article, a mathematical formulation for the Choi-Jamiolkowski (CJ) correspondence in the infinite-dimensional case in the form close to one used in quantum information theory is given.
Journal ArticleDOI
Sufficient condition for a quantum state to be genuinely quantum non-Gaussian
Lucas Happ,Maxim A. Efremov,Maxim A. Efremov,Hyunchul Nha,Hyunchul Nha,Wolfgang P. Schleich,Wolfgang P. Schleich +6 more
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Continuous-variable entanglement distillation of non-Gaussian mixed states
Ruifang Dong,Ruifang Dong,Mikael Lassen,Mikael Lassen,J. Heersink,J. Heersink,Christoph Marquardt,Christoph Marquardt,Radim Filip,Gerd Leuchs,Gerd Leuchs,Ulrik L. Andersen +11 more
TL;DR: This paper uses linear optical components, homodyne measurements, and classical communication to distill the entanglement, and finds that by using this method the entangled states can be probabilistically increased for some specific non-Gaussian noise channels.
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.