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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Dissertation
Quantum correlations in and beyond quantum entanglement in bipartite continuous variable systems
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Non-Gaussian state with vortex structure of quantized radiation field
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Nonclassical properties and entanglement of non-Gaussian entangled states generated via multiple-photon subtraction on two-mode squeezed coherent states
TL;DR: In this paper, the authors investigated how the photon-subtraction operation affects the quantum optical nonclassicalities and the entanglement of photon subtracted two-mode squeezed coherent states (PS-TMSCS).
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Generation of a superposition of coherent states in a resonant cavity and its nonclassicality and decoherence
TL;DR: In this article, the authors derive an analytic expression for the Wigner function from which they find that the function has some negative region in phase space and study the effect of decoherence on the state.
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Continuous variable quantum discord in a correlated emission laser
TL;DR: In this paper, a detailed analysis of the nonclassical features of the cavity radiation of a non-degenerate correlated emission laser is presented, and a closed mathematical relation that describes the quantum discord in terms of the involved auto-and cross-correlations is provided.
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.