Date Thesis Awarded

5-2023

Access Type

Honors Thesis -- Access Restricted On-Campus Only

Degree Name

Bachelors of Science (BS)

Department

Physics

Advisor

George Vahala

Committee Members

Chi-Kwong Li

Keith Griffioen

Abstract

In anticipation of the increasing capabilities of quantum computers, we attempt to create quantum algorithms for two systems of interest. We find a set of 720 algorithms for the Korteweg-de Vries (KdV) using a perturbative scheme. This was done by altering an already known nonunitary algorithm, similar to how unitary algorithms were found for a previous equation, the Nonlinear Schrodinger (NLS) equation. Attempts were also made to create a unitary algorithm modeling Maxwell's Equations, by modifying a prior nonunitary algorithm, to less success.

Recommended Citation

Anderson, Paul, "Modeling Plasma Physics Using Qubit Lattice Algorithms" (2023). Undergraduate Honors Theses. William & Mary. Paper 2030.
https://scholarworks.wm.edu/honorstheses/2030