Characterization of Gaussian operations and distillation of Gaussian states
Geza Giedke,J. Ignacio Cirac +1 more
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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
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Energy-Constrained LOCC-Assisted Quantum Capacity of the Bosonic Dephasing Channel
TL;DR: In this article , the energy-constrained LOCC-assisted quantum capacity of a bosonic dephasing channel with energy constraint on the input states is studied. But the authors focus on the energy constrained entanglement of the channel.
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Witnessing non-Markovianity by quantum quasi-probability distributions
TL;DR: A non-Markovianity witness based on the Kolmogorov distance of the P- and Q-functions is constructed which is useful in the regime of high entropy states for which a direct evaluation of the trace distance is typically very demanding.
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A continuous-variable formalism for the Faraday atom-light interface
TL;DR: In this article, a continuous-variable formalism has been proposed for the analysis of entanglement between different modes, reducing it to the study of the properties of a final covariance matrix which can be found analytically.
References
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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.