Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Joseph, Ilon"'
Autor:
Shi, Yuan, Evert, Bram, Brown, Amy F., Tripathi, Vinay, Sete, Eyob A., Geyko, Vasily, Cho, Yujin, DuBois, Jonathan L, Lidar, Daniel, Joseph, Ilon, Reagor, Matt
Simulating plasma physics on quantum computers is difficult because most problems of interest are nonlinear, but quantum computers are not naturally suitable for nonlinear operations. In weakly nonlinear regimes, plasma problems can be modeled as wav
Externí odkaz:
http://arxiv.org/abs/2406.13003
Autor:
Joseph, Ilon
Publikováno v:
J. Phys. A: Math. Theor. 56 (2023) 484001
The phase space Koopman-van Hove (KvH) equation can be derived from the asymptotic semiclassical analysis of partial differential equations. Semiclassical theory yields the Hamilton-Jacobi equation for the complex phase factor and the transport equat
Externí odkaz:
http://arxiv.org/abs/2306.01865
Publikováno v:
Computers & Mathematics with Applications, Volume 145, 1 September 2023, Pages 159-174
Highly accurate simulation of plasma transport is needed for the successful design and operation of magnetically confined fusion reactors. Unfortunately, the extreme anisotropy present in magnetized plasmas results in thin boundary layers that are ex
Externí odkaz:
http://arxiv.org/abs/2210.16442
The goal of this project is to compare the performance of exponential time integrators with traditional methods such as diagonally implicit Runge-Kutta methods in the context of solving the system of reduced magnetohydrodynamics (RMHD). In this repor
Externí odkaz:
http://arxiv.org/abs/2207.02439
Autor:
Porter, Max D., Joseph, Ilon
For quantum computations without error correction, the dynamics of a simulation can strongly influence the overall fidelity decay rate as well as the relative impact of different noise processes on the fidelity. Theoretical models of Markovian noise
Externí odkaz:
http://arxiv.org/abs/2206.04829
Autor:
Holec, Milan, Zhu, Ben, Joseph, Ilon, Vogl, Christopher J., Southworth, Ben S., Campos, Alejandro, Dimits, Andris M., Pazner, Will E.
Maintaining conservation laws in the fully discrete setting is critical for accurate long-time behavior of numerical simulations and requires accounting for discrete conservation properties in both space and time. This paper derives arbitrary order f
Externí odkaz:
http://arxiv.org/abs/2202.13022
Autor:
Porter, Max D., Joseph, Ilon
Publikováno v:
Quantum 6, 799 (2022)
In certain regimes, the fidelity of quantum states will decay at a rate set by the classical Lyapunov exponent. This serves both as one of the most important examples of the quantum-classical correspondence principle and as an accurate test for the p
Externí odkaz:
http://arxiv.org/abs/2110.07767
Publikováno v:
In Computer Physics Communications November 2024 304
Autor:
Tronci, Cesare, Joseph, Ilon
Motivated by recent discussions on the possible role of quantum computation in plasma simulations, here we present different approaches to Koopman's Hilbert-space formulation of classical mechanics in the context of Vlasov-Maxwell kinetic theory. The
Externí odkaz:
http://arxiv.org/abs/2105.00294
Autor:
Einkemmer, Lukas, Joseph, Ilon
The primary challenge in solving kinetic equations, such as the Vlasov equation, is the high-dimensional phase space. In this context, dynamical low-rank approximations have emerged as a promising way to reduce the high computational cost imposed by
Externí odkaz:
http://arxiv.org/abs/2101.12571