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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Journal ArticleDOI
On structural physical approximations and entanglement breaking maps
TL;DR: In this article, the structural physical approximations (SPAs) to optimal positive maps (optimal entanglement witnesses) do not lead to EB maps and in general this is not the case.
Journal ArticleDOI
Continuous-variable quantum cryptography with discrete alphabets: Composable security under collective Gaussian attacks
TL;DR: This work provides a composable security analysis in the finite-size regime assuming the realistic but restrictive hypothesis of collective Gaussian attacks and efficiently estimates the parameters of the channel via maximum likelihood estimators and bound the corresponding error in the final secret key rate.
Dissertation
Theoretical study of continuous-variable quantum key distribution
TL;DR: This thesis develops an optimal reconciliation algorithm for the initial protocol, then introduces a new protocol for which the reconciliation problem is automatically taken care of thanks to a discrete modulation, and introduces and study a class of symmetries in phase space, which is particularly relevant for continuous-variable QKD.
Journal ArticleDOI
Optimal fidelity of teleportation of coherent states and entanglement
Andrea Mari,David Vitali +1 more
TL;DR: Lower and upper bounds for the optimal fidelity of teleportation, maximized over all local Gaussian operations for a given entanglement of the two-mode Gaussian state shared by the sender and the receiver are determined.
Journal ArticleDOI
Partially entangled states bridge in quantum teleportation
TL;DR: In this paper, the authors proposed a quantum bridging method with partially entangled states to teleport quantum states from source node to destination node, which can be used in less quantum resource situation.
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.