Results 31 to 40 of about 10,578 (149)
Trotterless Simulation of Open Quantum Systems for NISQ Quantum Devices
Advanced Quantum Technologies, Volume 8, Issue 1, January 2025.Open quantum systems exhibit complex dynamics that can be simulated on quantum computers to provide physical insights into their behavior. This work proposes a new method for simulating these systems that reduces the effect of noise and errors on modern quantum hardware.
Colin Burdine, Enrique P. Blair
wiley +1 more source
A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators
, 2002 We study the semiclassical time evolution of observables given by matrix valued pseudodifferential operators and construct a decomposition of the Hilbert space $L^2(\rz^d)\otimes\kz^n$ into a finite number of almost invariant subspaces.
Abteilung Theoretische Physik +2 more
core +2 more sources
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.Abstract A new method is developed for finding exact solitary wave solutions of a generalized Korteweg–de Vries equation with p$p$‐power nonlinearity coupled to a linear Schrödinger equation arising in many different physical applications. This method yields 22 solution families, with p=1,2,3,4$p=1,2,3,4$.
Stephen C. Anco +3 more
wiley +1 more source
Alternative Structures and Bihamiltonian Systems
, 2002 In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits.In this paper we start with two compatible Hermitian structures (the quantum analog of ...
Marmo, G. +3 more
core +1 more source
A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
wiley +1 more source
Quantum Engineering, Volume 2025, Issue 1, 2025.The concept of non‐Hermitian systems, also known as exceptional points (EPs), has recently emerged as a novel approach for designing the response of systems that exchange energy with the external environment. The system behaves as a non‐Hermitian Hamiltonian (NH Hamiltonian), the real part of which is related to the internal dynamics of the system, and
Jiaxuan Wei +9 more
wiley +1 more source
Geometrical Description of Quantum Mechanics - Transformations and Dynamics
, 2010 In this paper we review a proposed geometrical formulation of quantum mechanics. We argue that this geometrization makes available mathematical methods from classical mechanics to the quantum frame work.
Cantoni V +11 more
core +1 more source
MathematicsFor solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak +1 more
semanticscholar +1 more source
Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical
Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley +1 more source
Weakly invariant norms: Geometry of spheres in the space of skew-Hermitian matrices [PDF]
Linear Algebra and its Applications, 2023 G. Larotonda, Iv'an Rey
semanticscholar +1 more source