Physics – Quantum Physics
Scientific paper
2009-01-27
Physics
Quantum Physics
14 pages, 5 figures; revised for completeness and precision; as this is a presentation of preliminary ideas, feedback is welco
Scientific paper
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.
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