Quantum Simulation of Simple Many-Body Dynamics

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Pubblicato in:	arXiv.org (Jul 13, 2010), p. n/a
Autore principale:	Fan, Yale
Pubblicazione:	Cornell University Library, arXiv.org
Soggetti:	Exact solutions Mathematical models Quantum computers Polyatomic molecules Evolutionary algorithms Computer simulation Three dimensional bodies
Accesso online:	Citation/Abstract Full text outside of ProQuest
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Descrizione
Abstract:	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
Fonte:	Engineering Database