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Modeling Plasma Physics Using Qubit Lattice Algorithms

Anderson, Paul
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.
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2023-05-01
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Undergraduate Honors Theses
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https://scholarworks.wm.edu/cgi/viewcontent.cgi?article=3052&context=honorstheses&unstamped=1
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Vahala, George
Li, Chi-Kwong
Griffioen, Keith
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Physics
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https://scholarworks.wm.edu/handle/internal/11500
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