Quantum Simulation of Simple Many-Body Dynamics

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Veröffentlicht in:arXiv.org (Jul 13, 2010), p. n/a
1. Verfasser: Fan, Yale
Veröffentlicht:
Cornell University Library, arXiv.org
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100 1 |a Fan, Yale 
245 1 |a Quantum Simulation of Simple Many-Body Dynamics 
260 |b Cornell University Library, arXiv.org  |c Jul 13, 2010 
513 |a Working Paper 
520 3 |a 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. 
653 |a Exact solutions 
653 |a Mathematical models 
653 |a Quantum computers 
653 |a Polyatomic molecules 
653 |a Evolutionary algorithms 
653 |a Computer simulation 
653 |a Three dimensional bodies 
773 0 |t arXiv.org  |g (Jul 13, 2010), p. n/a 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/2087525368/abstract/embedded/6A8EOT78XXH2IG52?source=fedsrch 
856 4 0 |3 Full text outside of ProQuest  |u http://arxiv.org/abs/0901.4163