Physics
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QUANTUM ALGORITHMS FOR DIFFERENTIAL EQUATIONS
(2019)This thesis describes quantum algorithms for Hamiltonian simulation, ordinary differential equations (ODEs), and partial differential equations (PDEs). Product formulas are used to simulate Hamiltonians which can be ... 
Machine Learning Approaches for DataDriven Analysis and Forecasting of HighDimensional Chaotic Dynamical Systems
(2019)We consider problems in the forecasting of large, complex, spatiotemporal chaotic systems and the possibility that machine learning might be a useful tool for significant improvement of such forecasts. Focusing on weather ... 
Electronic and Magnetic Properties of MnPType Binary Compounds
(2019)The interactions between electrons, and the resulting impact on physical properties, are at the heart of presentday materials science. This thesis looks at this idea through the lens of several compounds from a single ... 
Nonequilibrium Dynamics in Open Quantum Systems
(2019)Due to the variety of tools available to control atomic, molecular, and optical (AMO) systems, they provide a versatile platform for studying manybody physics, quantum simulation, and quantum computation. Although extensive ... 
Topological Rare Earth HalfHeusler HoPtBi
(2019)Magnetic HoPtBi is created and characterized as a new halfHeusler Weylcandidate. By analogy with the wellstudied GdPtBi system we undertake measurements intended to understand the normal state of this material, before ...