113 citations · 392 across the 16 of their papers we have counts for
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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…
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…
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…
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…