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Operational discord measure for Gaussian states with Gaussian measurements
New Journal of Physics, 2015 We introduce an operational discord-type measure for quantifying nonclassical correlations in bipartite Gaussian states based on using Gaussian measurements. We refer to this measure as operational Gaussian discord (OGD).
Saleh Rahimi-Keshari +2 more
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Existence of Gauss John ellipsoid operator problem [PDF]
ITM Web of Conferences, 2022 There is a common example in convex geometry and Banach space geometry: the unique ellipsoid with the largest volume associated with each symmetric convex body K is called John ellipsoid.
Yu Li’ao, Zou Du
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On Distributions of Trigonometric Polynomials in Gaussian Random Variables
Известия Иркутского государственного университета: Серия "Математика", 2021 We prove new results about the inclusion of distributions of trigonometric polynomials in Gaussian random variables to Nikolskii--Besov classes. In addition, we estimate the total variance distances between distributions of trigonometric polynomials via ...
G.I. Zelenov
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Lossy compression of observations for Gaussian process regression [PDF]
MATEC Web of Conferences, 2022 This paper proposes a novel approach of Gaussian process observation set compression based on a squared difference measure. It is used to discard observations to speed up Gaussian process prediction while retaining the information encoded in the full set
Visser Emile +2 more
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Известия Иркутского государственного университета: Серия "Математика", 2020 In this paper we study properties of images of a gaussian measure under trigonometric polynomials of a fixed degree, defined on finite-dimensional space with fixed number of dimensions. We prove that the images of the n-dimensional Gaussian measure under
G. I. Zelenov
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Eigenfunctions in Finsler Gaussian solitons
Open Mathematics, 2023 Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
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Efficient Entanglement Criteria beyond Gaussian Limits Using Gaussian Measurements [PDF]
Physical Review Letters, 2012 We present a formalism to derive entanglement criteria beyond the Gaussian regime that can be readily tested by only homodyne detection. The measured observable is the Einstein-Podolsky-Rosen (EPR) correlation. Its arbitrary functional form enables us to detect non-Gaussian entanglement even when an entanglement test based on second-order moments fails.
Nha, Hyunchul +3 more
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Measuring Gaussian Rigidity Using Curved Substrates [PDF]
Physical Review Letters, 2020 5 pages, 3 figures.
Piermarco Fonda +3 more
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Estimates of entropy numbers in probabilistic setting
Open Mathematics, 2020 In this paper, we define the entropy number in probabilistic setting and determine the exact order of entropy number of finite-dimensional space in probabilistic setting.
Han Yongjie, Xiao Hanyue, Chen Guanggui
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Gaussian Processes and Gaussian Measures
The Annals of Mathematical Statistics, 1972 The subject of this paper is the study of the correspondence between Gaussian processes with paths in linear function spaces and Gaussian measures on function spaces. For the function spaces $C(I), C^n\lbrack a, b\rbrack, AC\lbrack a, b\rbrack$ and $L_2(T, \mathscr{A}, \nu)$ it is shown that if a Gaussian process has paths in these spaces then it ...
Rajput, Balram S., Cambanis, Stamatis
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