Quantum Simulation of Simple Many-Body Dynamics

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Bibliográfalaš dieđut
Publikašuvnnas:	arXiv.org (Jul 13, 2010), p. n/a
Váldodahkki:	Fan, Yale
Almmustuhtton:	Cornell University Library, arXiv.org
Fáttát:	Exact solutions Mathematical models Quantum computers Polyatomic molecules Evolutionary algorithms Computer simulation Three dimensional bodies
Liŋkkat:	Citation/Abstract Full text outside of ProQuest
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Govvádus
Abstrákta:	Quantum computers could potentially simulate the dynamics of systems such as polyatomic molecules on a much larger scale than classical computers. We investigate a general quantum computational algorithm that simulates the time evolution of an arbitrary non-relativistic, Coulombic many-body system in three dimensions, considering only spatial degrees of freedom. We use a simple discretized model of Schrodinger evolution and discuss detailed constructions of the operators necessary to realize the scheme of Wiesner and Zalka. The algorithm is simulated numerically for small test cases, and its outputs are found to be in good agreement with analytical solutions.
ISSN:	2331-8422
Gáldu:	Engineering Database