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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"quantum Hamiltonian"”.
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A quantum top in a Casimir-induced quadrupole field
… I calculate the changes in energy levels of a quantum top inside a cavity after promoting the Casimir energy to a quantum Hamiltonian. I apply the result to a diatomic molecule and find the changes in the spectroscopy induced by the Casimir effect. This can potentially provide an additional …
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Quantum Algorithms and Non-Equilibrium Dynamics in Many-Body Systems
Understanding the physical features of quantum many-body systems is a challenging endeavor spanning across multiple branches of physics. In this thesis, we explore the properties of one- and two-dimensional quantum systems in the context of quantum algorithms and non-equilibrium dynamics. In the …
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Quantized multiplicative quiver varieties and actions of higher genus braid groups
… parameter . The algebras Ad(Q) are obtained via quantum Hamiltonian reduction of another algebra D,(Matd(Q)) relative to a quantum moment map pq, both of which are also constructed herein. The algebras Dq(Matd(Q)) and A (Q) bear relations to many constructions in representation theory, some of …
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Infinite Sets of Conserved Charges and Duality in Quantum Field Theory
… statistical mechanical system and an associated quantum Hamiltonian, using as an example the familiar two- 4 dimensional Ising model. Next, in chapter III, I show how this applies to Baxter's 8-vertex model and the XYZ Hamiltonian, and how an infinite set of conserved charges for the XYZ model …
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Quantum Advantage via Physics-Inspired Methods in Optimization: Empirical and Theoretical Analysis
… for classical computation.Physics-inspired quantum algorithms, such as Quantum Adiabatic Algorithm (QAA) and Quantum Hamiltonian Descent (QHD), offer a promising paradigm for solving these problems by utilizing quantum dynamics to accelerate navigating complex landscapes of objective …
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Quantum Algorithms for Matrix Problems and Machine Learning
This dissertation presents a study of quantum algorithms for problems that can be posed as matrix function tasks. In Chapter 1 we demonstrate a simple unifying framework for implementing of smooth functions of matrices on a quantum computer. This framework captures a variety of problems that can be …