Results 111 to 120 of about 216,282 (303)

Wild automorphisms of generic matrix algebras

Journal of Pure and Applied Algebra, 2000
The note under review considers automorphisms of generic matrix algebras. The main result of the note is the construction of a wild automorphism of the algebra of two \(n\times n\) matrices, \(n\geq 3\). The construction given does not make use of central polynomials.
openaire   +1 more source

Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity

Advanced Quantum Technologies, EarlyView.
The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke, Marcos L. W. Basso, Lucas C. Céleri, Jonas Maziero   +3 more
wiley   +1 more source

Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond

Advanced Quantum Technologies, EarlyView.
The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki, Anmol Singh, Sergei Trofimov, Boris Naydenov   +3 more
wiley   +1 more source

Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion

Advances in Difference Equations, 2019
In the literature, many generalizations of continued fractions have been introduced, and for each of them, convergence results have been proved. In this paper, we suggest a definition of generalized continued fractions which covers a great variety of ...
Hendrik Baumann
doaj   +1 more source

Countably Generated Matrix Algebras

We define the completion of an associative algebra $A$ in a set $M=\{M_1,\dots,M_r\}$ of $r$ right $A$-modules in such a way that if $\mathfrak a\subseteq A$ is an ideal in a commutative ring $A$ the completion $A$ in the (right) module $A/\mathfrak a$ is $\hat A^M\simeq \hat A^{\mathfrak a}.$ This works by defining $\hat A^M$ as a formal algebra ...
openaire   +2 more sources

Graded paraparticle algebra of Majorana fields for multidimensional quantum computing with structured light

Physical Review Research
We present a theoretical framework that integrates Majorana's infinite-component relativistic equation within the algebraic structure of paraparticles through the minimal nontrivial Z_{2}×Z_{2}-graded Lie algebras and R-matrix quantization.
Fabrizio Tamburini, Nicoló Leone, Matteo Sanna, Roberto Siagri   +3 more
doaj   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Lie triple maps on generalized matrix algebras

, 2021
In this article, we introduce the notion of Lie triple centralizer as follows. Let $\mathcal{A}$ be an algebra, and $ :\mathcal{A}\to\mathcal{A}$ be a linear mapping. we say $ $ is a Lie triple centralizer whenever $ ([[a,b],c])=[[ (a),b],c]$ for all $a,b,c\in\mathcal{A}$.
openaire   +2 more sources

A Cascaded Strategy With Embodied Artificial Intelligence: Forward Kinematics Solutions for CCRobot‐S

Journal of Field Robotics, EarlyView.
ABSTRACT This paper presents a novel cable‐climbing mechanism: the Collaborative Climbing Robot Squad (CCRobot‐S), a variant of Reconfigurable Cable‐Driven Parallel Robots (R‐CDPR), specifically designed for the inspection and maintenance of stay cables.
Zhenliang Zheng, Yongyuan Xu, Xuchun He, Tin Lun Lam, Ning Ding   +4 more
wiley   +1 more source