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Quantum Simulation of Simple Many-Body Dynamics

Tallennettuna:
Julkaisussa:arXiv.org (Jul 13, 2010), p. n/a
Päätekijä: Fan, Yale
Julkaistu:
Cornell University Library, arXiv.org
Aiheet:
Exact solutions
Mathematical models
Quantum computers
Polyatomic molecules
Evolutionary algorithms
Computer simulation
Three dimensional bodies
Linkit:Citation/Abstract
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Abstrakti: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
Lähde:Engineering Database