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Wyniki wyszukiwania dla: gaussian unitary ensemble
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Wyniki wyszukiwania dla: gaussian unitary ensemble

  • Convex set of quantum states with positive partial transpose analysed by hit and run algorithm

    Publikacja
    • K. Szymański
    • B. Collins
    • T. Szarek
    • K. Życzkowski

    - Journal of Physics A-Mathematical and Theoretical - Rok 2017

    The convex set of quantum states of a composite K×K system with positive partial transpose is analysed. A version of the hit and run algorithm is used to generate a sequence of random points covering this set uniformly and an estimation for the convergence speed of the algorithm is derived. For K >3 or K=3 this algorithm works faster than sampling over the entire set of states and verifying whether the partial transpose is positive....

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  • Generic appearance of objective results in quantum measurements

    Publikacja

    - PHYSICAL REVIEW A - Rok 2017

    Measurement is of central interest in quantum mechanics as it provides the link between the quantum world and the world of everyday experience. One of the features of everyday experience is its robust, objective character, contrasting the delicate nature of quantum systems. Here we analyze in a completely model-independent way the celebrated von Neumann measurement process, using recent techniques of information flow, studied in...

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  • Moments of Hermite-Gaussian functionals

    Publikacja

    - Applicationes Mathematicae - Rok 2020

    Moments of finite products of Hermite-Gaussian functionals are expressed by covariances of Gaussian sequence.

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  • Note on the variance of the sum of gaussian functonals

    Publikacja

    Dowodzi się oszacowania wariancji sum funkcjonałów losowych, konstruowanych dla zależnego ciągu gaussowskiego.Let (Xi; i = 1; 2; : : :) be a Gaussian sequence with Xi 2 N(0; 1) for each i and suppose its correlation matrix R = (ij)i;j1 is the matrix of some linear operator R : l2 ! l2. Then for fi 2 L 2(), i = 1; 2; : : : ; where is the standard normal distribution, we estimate the variation of the sum of the Gaussian functionals...

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  • SOME CONVERGENCE PROPERTIES OF THE SUM OF GAUSSIAN FUNCTIONALS

    Publikacja

    In the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained. Some strong convergence results for weighted sums of Gaussian functionals are discussed.

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  • Estimation of a Stochastic Burgers' Equation Using an Ensemble Kalman Filter

    Publikacja

    In this work, we consider a difficult problem of state estimation of nonlinear stochastic partial differential equations (SPDE) based on uncertain measurements. The presented solution uses the method of lines (MoL), which allows us to discretize a stochastic partial differential equation in a spatial dimension and represent it as a system of coupled continuous-time ordinary stochastic differential equations (SDE). For such a system...

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  • Electrochemistry from first-principles in the grand canonical ensemble

    Publikacja
    • A. Bhandari
    • C. Peng
    • J. Dziedzic
    • L. Anton
    • J. R. Owen
    • D. Kramer
    • C. Skylaris

    - JOURNAL OF CHEMICAL PHYSICS - Rok 2021

    Progress in electrochemical technologies, such as automotive batteries, supercapacitors, and fuel cells, depends greatly on developing improved charged interfaces between electrodes and electrolytes. The rational development of such interfaces can benefit from the atomistic understanding of the materials involved by first-principles quantum mechanical simulations with Density Functional Theory (DFT). However, such simulations are...

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  • Estimation of blood pressure parameters using ex-Gaussian model

    Publikacja

    The paper presents an example of model-based estimation of blood pressure parameters (onset, systolic and diastolic pressure) from continuous measurements. First, the signal was low pass filtered and its quality was estimated. Good quality periods were divided into beats using an electrocardiogram. Next, the beginning of each beat of the blood pressure signal was approximated basing on the function created from the sum of two independent...

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  • Examining Quality of Hand Segmentation Based on Gaussian Mixture Models

    Publikacja

    Results of examination of various implementations of Gaussian mix-ture models are presented in the paper. Two of the implementations belonged to the Intel’s OpenCV 2.4.3 library and utilized Background Subtractor MOG and Background Subtractor MOG2 classes. The third implementation presented in the paper was created by the authors and extended Background Subtractor MOG2 with the possibility of operating on the scaled version of...

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  • Global Optimization for Recovery of Clipped Signals Corrupted With Poisson-Gaussian Noise

    Publikacja

    - IEEE SIGNAL PROCESSING LETTERS - Rok 2020

    We study a variational formulation for reconstructing nonlinearly distorted signals corrupted with a Poisson-Gaussian noise. In this situation, the data fidelity term consists of a sum of a weighted least squares term and a logarithmic one. Both of them are precomposed by a nonlinearity, modelling a clipping effect, which is assumed to be rational. A regularization term, being a piecewise rational approximation of the ℓ0 function...

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