Results 31 to 40 of about 13,378 (267)
Majorization in Quantum Adiabatic Algorithms
, 2006 The majorization theory has been applied to analyze the mathematical structure of quantum algorithms. An empirical conclusion by numerical simulations obtained in the previous literature indicates that step-by-step majorization seems to appear ...
Ji, Zhengfeng +2 more
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Generalized Finite Algorithms for Constructing Hermitian Matrices with Prescribed Diagonal and Spectrum [PDF]
, 2005 In this paper, we present new algorithms that can replace the diagonal entries of a Hermitian matrix by any set of diagonal entries that majorize the original set without altering the eigenvalues of the matrix.
Dhillon, Inderjit S. +3 more
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Bounding the HL-index of a graph: a majorization approach
Journal of Inequalities and Applications, 2016 In mathematical chemistry, the median eigenvalues of the adjacency matrix of a molecular graph are strictly related to orbital energies and molecular orbitals.
Gian Paolo Clemente, Alessandra Cornaro
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Class of finite-dimensional matrices with diagonals that majorize their spectrum
Special Matrices, 2023 We define a special class of finite-dimensional matrices for which the diagonal majorizes the spectrum. This is the first class of matrices known to have this property, although the reverse majorization (i.e., the spectrum majorizing the diagonal) was ...
Uhlmann Jeffrey
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Frames of translates with prescribed fine structure in shift invariant spaces [PDF]
, 2016 For a given finitely generated shift invariant (FSI) subspace $\cW\subset L^2(\R^k)$ we obtain a simple criterion for the existence of shift generated (SG) Bessel sequences $E(\cF)$ induced by finite sequences of vectors $\cF\in \cW^n$ that have a ...
Benac, Maria Jose +2 more
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A generalization of majorization that characterizes Shannon entropy
, 2016 We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory.
Mueller, Markus P., Pastena, Michele
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Majorization and semidoubly stochastic operators on L 1 ( X ) $L^{1}(X)$
Journal of Inequalities and Applications, 2023 This paper is devoted to a study of majorization based on semidoubly stochastic operators (denoted by S D ( L 1 ) $S\mathcal{D}(L^{1})$ ) on L 1 ( X ) $L^{1}(X)$ when X is a σ-finite measure space.
Seyed Mahmoud Manjegani, Shirin Moein
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Majorization approach to entropic uncertainty relations for coarse-grained observables
, 2015 We improve the entropic uncertainty relations for position and momentum coarse-grained measurements. We derive the continuous, coarse-grained counterparts of the discrete uncertainty relations based on the concept of majorization.
Rudnicki, Łukasz
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski +59 more
wiley +1 more source
Journal of Mathematics, 2021 In this study, we present some new refinements of the Jensen inequality with the help of majorization results. We use the concept of convexity along with the theory of majorization and obtain refinements of the Jensen inequality.
Yongping Deng +4 more
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