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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Perfect transfer of enhanced entanglement and asymmetric steering in a cavity-magnomechanical system
TL;DR: In this paper, a hybrid cavity magnomechanical system was proposed to realize and transfer the bipartite entanglements and EPR steerings between magnons, photons, and phonons in the regime of stability of the system.
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Quantum atom-light interfaces in the gaussian description for spin-1 systems
TL;DR: In this article, the covariance-matrix description of atom-light quantum interfaces, originally developed for real and effective spin-1/2 atoms, was extended to include "spin alignment" degrees of freedom.
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Continuous variable methods in relativistic quantum information: characterization of quantum and classical correlations of scalar field modes in noninertial frames
TL;DR: In this article, a unified approach to quantification of correlations in Gaussian states of bosonic scalar fields by means of Renyi-2 entropy was introduced, which allows to obtain handy formulae for classical, quantum, total correlations, as well as bipartite and multipartite entanglement.
Journal ArticleDOI
Entanglement of pure two-mode Gaussian states
TL;DR: In this article, the entanglement of general asymmetric pure Gaussian two-mode states is examined in terms of the coefficients of the quadrature components of the wave function, without the need for local unitary transformations.
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An operational measure for squeezing
TL;DR: In this paper, a mathematical measure for the amount of squeezing contained in a continuous variable quantum state is proposed and analyzed, which can be regarded as a squeezing analogue of the "entanglement of formation".
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.