Results 81 to 90 of about 119,322 (225)

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

Optimal control for a higher-order nonlinear parabolic equation describing crystal surface growth

Nonlinear Analysis, 2018
In this paper, we shall study the optimal control of the initial-boundary value problem of a higher-order nonlinear parabolic equation describing crystal surface growth. The existence and uniqueness of weak solutions to the problem are given.
Ning Duan, Xiaopeng Zhao
doaj   +1 more source

An inertial based forward–backward algorithm for monotone inclusion problems and split mixed equilibrium problems in Hilbert spaces

Advances in Difference Equations, 2020
Iterative algorithms are widely applied to solve convex optimization problems under a suitable set of constraints. In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward-backward splitting ...
Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn, Muhammad Aqeel Ahmad Khan   +3 more
doaj   +1 more source

Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces [PDF]

, 2013
A Schur-class function in $d$ variables is defined to be an analytic contractive-operator valued function on the unit polydisk. Such a function is said to be in the Schur--Agler class if it is contractive when evaluated on any commutative $d$-tuple of ...
Ball, Joseph A., Kaliuzhnyi-Verbovetskyi, Dmitry, Sadosky, Cora, Vinnikov, Victor   +3 more
core  

Loop Quantum Photonic Chip for Coherent Multi‐Time‐Step Evolution

Laser &Photonics Reviews, EarlyView.
A loop quantum photonic chip (Loop‐QPC) enabling efficient multi‐step quantum simulation in a single run is demonstrated. Combining recirculating loops with cycle‐or‐measure control, Loop‐QPC eliminates repeated reprogramming and reduces loss. Experimental demonstration of three‐step unitary evolution confirms high‐fidelity operation, showcasing the ...
Yuancheng Zhan, Hui Zhang, Rebecca Erbanni, Andreas Burger, Lingxiao Wan, Xudong Jiang, Sanghoon Chae, Ai Qun Liu, Dario Poletti, Leong Chuan Kwek   +9 more
wiley   +1 more source

Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods

Fixed Point Theory and Applications, 2011
The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we
Liou YeongCheng, Naraghirad Eskandar, Ceng LuChuan   +2 more
doaj  

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Generalized solution of boundary value problem with an inhomogeneous boundary condition

MANAS: Journal of Engineering, 2019
In this problem, we study the solution to boundary value problem for a controlled oscillation process, described by Fredholm integro-differential equation with an inhomogeneous boundary condition.
Elmira Abdyldaeva, Gulbarchyn Taalaibek Kyzy, Bermet Anarkulova   +2 more
doaj  

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source