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
Operational Discord Measure for Gaussian States with Gaussian Measurements
Saleh Rahimi-Keshari,Saleh Rahimi-Keshari,Timothy C. Ralph,Carlton M. Caves,Carlton M. Caves +4 more
TL;DR: In this paper, an operational Gaussian discord (OGD) measure was proposed for quantifying nonclassical correlations in bipartite Gaussian states based on using Gaussian measurements.
Proceedings ArticleDOI
Multiphoton subtracted thermal states: description, preparation, measurement and utilization
K. G. Katamadze,G. V. Avosopiants,G. V. Avosopiants,B. I. Bantysh,Yu. I. Bogdanov,Sergei P. Kulik +5 more
TL;DR: A review of the recent works related to MPSTS can be found in this article, where the authors discuss their theoretical description, preparation and measurement technique and their utilization as a testing area for studying some quantum phenomena like non-Gaussianity, Photonic Maxwell's Demon, Quantum Vampire and so on.
Journal ArticleDOI
Continuous-variable quantum cryptography with discrete alphabets: Composable security under collective Gaussian attacks
TL;DR: In this article, the authors considered continuous-variable quantum key distribution with discrete-alphabet encodings and provided a composable security analysis in the finite-size regime assuming the realistic but restrictive hypothesis of collective Gaussian attacks.
Journal ArticleDOI
Entanglement Concentration with Different Measurement in a 3-Mode Optomechanical System
TL;DR: In this paper, the authors performed a series of phonon counting measurements with different methods in a 3-mode optomechanical system and compared the difference of the entanglement after measurement.
Journal ArticleDOI
Gaussian continuous-variable isotropic state
Maria Poxleitner,Haye Hinrichsen +1 more
TL;DR: In this article, a two-mode Gaussian analog of an isotropic state is proposed, which is defined as a convex combination of the corresponding covariance matrices and can be understood as an entangled pure state with additional Gaussian noise controlled by mixing probability.
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.