Results 111 to 120 of about 355,626 (313)
Optimal Control Applications and Methods, EarlyView.Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera +4 more
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The $\mathbb{A}_{q,t}$ algebra and parabolic flag Hilbert schemes
, 2017 The earlier work of the first and the third named authors introduced the algebra $\mathbb{A}_{q,t}$ and its polynomial representation. In this paper we construct an action of this algebra on the equivariant K-theory of certain smooth strata in the flag ...
Carlsson, Erik +2 more
core
Irredundant generating sets for matrix algebras
Linear Algebra and its Applications, 1983 AbstractWe prove the following Main Theorem: Let S be an irredundant generating set for the algebra Mn(F) of n × n matrices over a field F. Then the cardinality of S is at most 3 if n = 2, and at most 2n − 2 if n > 2.
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Advanced Quantum Technologies, EarlyView.Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
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.
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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 +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 +3 more
wiley +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 ...
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On (m,n)-Derivations of Some Algebras
Demonstratio Mathematica, 2014 Let A be a unital algebra, δ be a linear mapping from A into itself and m, n be fixed integers. We call δ an (m, n)-derivable mapping at Z, if mδ(AB) + nδ(BA) = mδ(A)B + mAδ(B) + nδ(B)A for all A,B ∈ A with AB = Z.
Shen Qihua, Li Jiankui, Guo Jianbin
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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 +3 more
wiley +1 more source