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- W44177774 abstract "Abstract : The focus of this research was on developing quantum algorithms for continuous problems, complexity analysis of these algorithms, and their simulation and implementation. Continuous problems are a focus because much of physics, chemistry, and engineering depends on continuous mathematical formulations such as partial differential equations, path integration, approximation, and high-dimensional integration. New algorithms and quantum speedups were obtained for a number of important problems such as path integration, eigenvalues of Hermitian operators, Feynman-Kac path integration, high-dimensional approximation, and the Sturm-Liouville eigenvalue problem. The simulation and implementation part of the project included simulation of the quantum summation algorithm, implementation of the quantum Baker's map, NMR implementation of a quantum lattice gas, application of a Loschmidt echo, single spin measurement, and experiments in solid-state simulation." @default.
- W44177774 created "2016-06-24" @default.
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- W44177774 date "2007-03-01" @default.
- W44177774 modified "2023-10-18" @default.
- W44177774 title "Continuous Quantum Computation" @default.
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- W44177774 doi "https://doi.org/10.21236/ada465614" @default.
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