Results 51 to 60 of about 3,040,184 (131)
Generating random density matrices
, 2011 We study various methods to generate ensembles of random density matrices of a fixed size N, obtained by partial trace of pure states on composite systems.
Armstrong D. +13 more
core +3 more sources
Tensor denoising of quantitative multi‐parameter mapping
Magnetic Resonance in Medicine, Volume 92, Issue 1, Page 145-157, July 2024.Abstract Purpose Quantitative multi‐parameter mapping (MPM) provides maps of physical quantities representing physiologically meaningful tissue characteristics, which allows to investigate microstructure‐function relationships reflecting normal or pathologic processes in the brain.
Helge Herthum, Stefan Hetzer
wiley +1 more source
On a question of Babadi and Tarokh
, 2013 In a recent remarkable paper, Babadi and Tarokh proved the "randomness" of sequences arising from binary linear block codes in the sense of spectral distribution, provided that their dual distances are sufficiently large.
Xia, Jing, Xiong, Maosheng
core +2 more sources
On Cauchy-Stieltjes Kernel Families [PDF]
, 2012 We explore properties of Cauchy-Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy-Stieltjes family to the pseudo-variance function of the initial Cauchy-Stieltjes family.
Bryc, Wlodek +2 more
core
Area law for random graph states
, 2013 Random pure states of multi-partite quantum systems, associated with arbitrary graphs, are investigated. Each vertex of the graph represents a generic interaction between subsystems, described by a random unitary matrix distributed according to the Haar ...
Collins, Benoit +2 more
core +3 more sources
A Study of the Early Cosmic Dynamics in a Multifield Model of Inflation and Curvature Perturbations
Advances in Astronomy, Volume 2024, Issue 1, 2024.In this work, we study the cosmological dynamics of the early universe by employing a small field potential in the context of multifield inflation. By investigating analytically the cosmological observables, such as the number of e‐folds N, potential slow‐roll parameters ϵV, ηV, and spectral index ns which carry significant information, we show that ...
Muhammad Zahid Mughal +4 more
wiley +1 more source
The necessary and sufficient conditions in the Marchenko-Pastur theorem
, 2015 We show that a weak concentration property for quadratic forms of isotropic random vectors ${\bf x}$ is necessary and sufficient for the validity of the Marchenko-Pastur theorem for sample covariance matrices of random vectors having the form $C{\bf x}$,
Yaskov, Pavel
core +1 more source
Random graph states, maximal flow and Fuss-Catalan distributions
, 2010 For any graph consisting of $k$ vertices and $m$ edges we construct an ensemble of random pure quantum states which describe a system composed of $2m$ subsystems. Each edge of the graph represents a bi-partite, maximally entangled state.
Armstrong D +27 more
core +1 more source
Nonstandard limit theorems and large deviations for the Jacobi beta ensemble
, 2013 In this paper we show weak convergence of the empirical eigenvalue distribution and of the weighted spectral measure of the Jacobi ensemble, when one or both parameters grow faster than the dimension $n$.
Nagel, Jan
core
Feasibility of Accelerated Prostate Diffusion-Weighted Imaging on 0.55 T MRI Enabled With Random Matrix Theory Denoising. [PDF]
Invest Radiol, 2023 Lemberskiy G +8 more
europepmc +1 more source