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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Entanglement generation in continuously coupled parametric generators
TL;DR: In this paper, the authors investigated a compact source of entanglement composed of a pair of linearly coupled nonlinear waveguides operating by means of degenerate parametric downconversion.
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Environment-assisted quantum-information correction for continuous variables
TL;DR: This article investigates continuous-variable quantum information, and proposes a simple environmental measurement that under certain circumstances fully restores the quantum information of the signal state although the state is not reconstructed with unit fidelity.
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Implementation of single-photon creation and annihilation operators: experimental issues in their application to thermal states of light
TL;DR: In this article, the authors proposed experimental schemes to implement the action of single-photon creation and annihilation operators onto completely classical and fully incoherent thermal light states (Parigi et al. 2007 Science 317 1890) and observed that the resulting states depend on the order in which the two quantum operators are applied.
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Tight bounds for private communication over bosonic Gaussian channels based on teleportation simulation with optimal finite resources
Riccardo Laurenza,Spyros Tserkis,Leonardo Banchi,Samuel L. Braunstein,Timothy C. Ralph,Stefano Pirandola,Stefano Pirandola +6 more
TL;DR: In this article, the secret-key capacity of one-mode phase-insensitive Gaussian channels is derived by teleporting over an analytical class of finite-energy resource states.
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Optimal control landscape for the generation of unitary transformations with constrained dynamics
TL;DR: In this article, a control landscape analysis is presented, which incorporates specific constraints in the Hamiltonian that correspond to certain dynamical symmetries in the underlying physical system, and it is shown that the presence of such constraints does not destroy the trap-free topology.
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.