Results 1 to 10 of about 816 (94)

Private quantum codes: introduction and connection with higher rank numerical ranges

, 2013
We give a brief introduction to private quantum codes, a basic notion in quantum cryptography and key distribution. Private code states are characterized by indistinguishability of their output states under the action of a quantum channel, and we show ...
Kribs, D. W., Plosker, S.
core   +1 more source

Explicit inverse of symmetric, tridiagonal near Toeplitz matrices with strictly diagonally dominant Toeplitz part

Special Matrices
Let Tn=tridiag(−1,b,−1){T}_{n}={\rm{tridiag}}\left(-1,b,-1), an n×nn\times n symmetric, strictly diagonally dominant tridiagonal matrix (∣b∣>2| b| \gt 2). This article investigates tridiagonal near-Toeplitz matrices T˜n≔[t˜i,j]{\widetilde{T}}_{n}:= \left[
Kurmanbek Bakytzhan, Erlangga Yogi, Amanbek Yerlan   +2 more
doaj   +1 more source

Multivariable matrix generalization of Gould-Hopper polynomials

, 2015
The main object of this investigation is to define a multivariable matrix generalization of Gould-Hopper polynomials and to reveal some relations such as matrix generating function, matrix recurrence relation, matrix differential equation for them ...
Bayram Çekım, R. Aktaş
semanticscholar   +1 more source

Constant norms and numerical radii of matrix powers

Operators and Matrices, 2019
For an n -by-n complex matrix A , we consider conditions on A for which the operator norms ‖Ak‖ (resp., numerical radii w(Ak) ), k 1 , of powers of A are constant.
Hwa-Long Gau, Kuo-Zhong Wang, P. Wu
semanticscholar   +1 more source

Berezin number inequalities for operators

Concrete Operators, 2019
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
doaj   +1 more source

The matrix version for the multivariable Humbert polynomials

, 2012
In this paper, the matrix extension of the multivariable Humbert polynomials is introduced. Various families of linear, multilinear and multilateral generating matrix functions of these matrix polynomials are presented.
R. Aktaş, Bayram Çekım, R. Sahin
semanticscholar   +1 more source

On some classical trace inequalities and a new Hilbert-Schmidt norm inequality

, 2018
Let A be a positive semidefinite matrix and B be a Hermitian matrix. Using some classical trace inequalities, we prove, among other inequalities, that ∥ ∥AsB+BA1−s ∥ ∥ 2 ∥ ∥AtB+BA1−t ∥ ∥ 2 for 2 s t 1 . We conjecture that this inequality is also true for
M. Hayajneh, Saja Hayajneh, F. Kittaneh
semanticscholar   +1 more source

On Berezin norm and Berezin number inequalities for sum of operators

Demonstratio Mathematica
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
Altwaijry Najla, Feki Kais, Minculete Nicusor   +2 more
doaj   +1 more source

Symmetric norms and reverse inequalities to Davis and Hansen-Pedersen characterizations of operator convexity

, 2005
Some rearrangement inequalities for symmetric norms on matrices are given as well as related results for operator convex functions.Comment: to appear in ...
Bourin, Jean-Christophe
core   +1 more source

On $k$-circulant matrices involving the Fibonacci numbers

, 2018
Let k be a nonzero complex number. In this paper we consider a k-circulant matrix whose first row is .F1;F2; : : : ;Fn/, where Fn is the nth Fibonacci number, and investigate the eigenvalues and Euclidean (or Frobenius) norm of that matrix.
Biljana Radičić
semanticscholar   +1 more source