Results 51 to 60 of about 10,743 (170)
Gruss inequality for some types of positive linear maps [PDF]
Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite ...
Jagjit Singh +2 more
core
Let $S(A)$ denote the orbit of a complex or real matrix $A$ under a certain equivalence relation such as unitary similarity, unitary equivalence, unitary congruences etc.
Li, C. K. +2 more
core +3 more sources
Disentanglement by Deranking and by Suppression of Correlation
ABSTRACT The spontaneous disentanglement hypothesis is motivated by some outstanding issues in standard quantum mechanics, including the problem of quantum measurement. The current study compares between some possible methods that can be used to implement the hypothesis.
Eyal Buks
wiley +1 more source
Operator Monotone Functions and Convexity of Its Derivatives Norms
Introduction Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni +2 more
doaj
On the separability of unitarily invariant random quantum states - the unbalanced regime
We study entanglement-related properties of random quantum states which are unitarily invariant, in the sense that their distribution is left unchanged by conjugation with arbitrary unitary operators.
Nechita, Ion
core +4 more sources
On some inequalities for unitarily invariant norms [PDF]
In this paper, we present several inequalities for unitarily invariant norms by using the convexity of the function g(r )= A r XB 2−r +A 2−r XB r on the interval (0,2). Our results are refinements of some existing inequalities.
Xiaohui Fu, Chuanjiang He
openaire +1 more source
On quantum ergodicity for higher‐dimensional cat maps modulo prime powers
Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
wiley +1 more source
Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source
MENG等给出了 {1,3}-和{1,4}-逆在谱范数和Frobenius范数下的加法和乘法扰动界,本文研究了 {1,3}-和{1,4}-逆在一般的酉不变范数下的加法和乘法扰动界,所得结果推广和改进了已有文献中的相关结果.
MENGLingsheng(孟令胜)
doaj +1 more source
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley +1 more source

