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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Quantum non-Gaussianity criteria based on vacuum probabilities of original and attenuated state
TL;DR: In this article, the authors derived criteria for certification of quantum non-Gaussianity based on probability of vacuum in the original quantum state and a state transmitted through a lossy channel with transmittance T. The criteria hold for arbitrary multimode states, which is important for their applicability in experiments with broadband sources and single-photon detectors.
Quantum Maximal Correlation for Gaussian States
TL;DR: In this paper , the quantum maximal correlation for bipartite Gaussian states of continuous-variable systems was derived for the Gaussian version of the local state transformation problem when both resource and target states are Gaussian.
Book ChapterDOI
Generation of Non-Gaussian Quantum State in Telecommunication Band
TL;DR: A dip in reconstructed Wigner functions of generated quantum states is observed, which is the clear evidence that a non-Gaussian operation was realized.
Journal ArticleDOI
Nonclassicality versus quantum non-Gaussianity of photon subtracted displaced Fock state
Deepak,Arpita Chatterjee +1 more
TL;DR: In this paper , a quantitative investigation of the nonclassical and quantum non-Gaussian characters of the photon-subtracted displaced Fock state is performed by using a collection of measures like Wigner logarithmic negativity, linear entropy potential, skew information based measure, and relative entropy of quantum nonGaussianity.
Journal ArticleDOI
Witnessing Wigner Negativity
TL;DR: In this article, the authors derived witnesses for Wigner negativity of single mode and multimode quantum states, based on fidelities with Fock states, which can be reliably measured using standard detection setups.
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.