113 citations · 392 across the 16 of their papers we have counts for
16 papers
Semiclassical Theory and the Koopman-van Hove Equation
Ilon Joseph
The phase space Koopman-van Hove (KvH) equation can be derived from the asymptotic semiclassical analysis of partial differential equations. Semiclassical theory yields the Hamilto…
Quantum Computing for Fusion Energy Science Applications
I. Joseph, Y. Shi, M. D. Porter +5
This is a review of recent research exploring and extending present-day quantum computing capabilities for fusion energy science applications. We begin with a brief tutorial on bot…
Mesh Refinement for Anisotropic Diffusion in Magnetized Plasmas
Christopher J. Vogl, Ilon Joseph, Milan Holec
Highly accurate simulation of plasma transport is needed for the successful design and operation of magnetically confined fusion reactors. Unfortunately, the extreme anisotropy pre…
Exponential integrators for non-linear diffusion
Valentin Dallerit, Mayya Tokman, Ilon Joseph
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 so…
Impact of dynamics, entanglement, and Markovian noise on the fidelity of few-qubit digital quantum simulation
Max D. Porter, Ilon Joseph
Quantum algorithms have been proposed to accelerate the simulation of the chaotic dynamical systems that are ubiquitous in the physics of plasmas. Quantum computers without error c…
Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics
Milan Holec, Ben Zhu, Ilon Joseph +5
Maintaining conservation laws in the fully discrete setting is critical for accurate long-time behavior of numerical simulations and requires accounting for discrete conservation p…
Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
Max D. Porter, Ilon Joseph
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 quantu…
Koopman wavefunctions and Clebsch variables in Vlasov-Maxwell kinetic theory
Cesare Tronci, Ilon Joseph
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 cl…
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation
Lukas Einkemmer, Ilon Joseph
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 emerge…
Importance of theory, computation and predictive modeling in the US magnetic fusion energy strategic plan
Fatima Ebrahimi, Gary Staebler, Paul Bonoli +5
Based on the community input at the National Academy of Sciences (NAS) Madison and Austin workshops in July and December 2017, respectively, this whitepaper was prepared and submit…
Guiding Center and Gyrokinetic Theory for Large Electric Field Gradients and Strong Shear Flows
Ilon Joseph
The guiding center and gyrokinetic theory of magnetized particle motion is extended to the regime of large electric field gradients perpendicular to the magnetic field. A gradient…
Simulating nonnative cubic interactions on noisy quantum machines
Yuan Shi, Alessandro R. Castelli, Xian Wu +8
As a milestone for general-purpose computing machines, we demonstrate that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware…
Koopman-von Neumann Approach to Quantum Simulation of Nonlinear Classical Dynamics
Ilon Joseph
Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman-von Neumann formulation of classical mechanic…
Quantum phase estimation for a class of generalized eigenvalue problems
Jeffrey B. Parker, Ilon Joseph
Quantum phase estimation provides a path to quantum computation of solutions to Hermitian eigenvalue problems , such as those occurring in quantum chemistry. It is natural…
BOUT++: Recent and current developments
B. D. Dudson, A. Allen, G. Breyiannis +12
BOUT++ is a 3D nonlinear finite-difference plasma simulation code, capable of solving quite general systems of PDEs, but targeted particularly on studies of the edge region of toka…
Nonlinear instability in simulations of Large Plasma Device turbulence
B. Friedman, T. A. Carter, M. V. Umansky +2
Several simulations of turbulence in the Large Plasma Device (LAPD) [W. Gekelman et al., Rev. Sci. Inst. 62, 2875 (1991)] are energetically analyzed and compared with each other an…