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Trapped Ion Quantum Computing Quantum Simulation Quantum Chemistry

Quantum Simulation of Simple Many-Body Dynamics

arXiv

Authors: Yale Fan

Year

2009

Paper ID

9146

Status

Preprint

Abstract Read

~2 min

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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.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Quantum computers could potentially simulate the dynamics of systems such as polyatomic molecules on a much larger scale than classical computers.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0901.4163 [2] arXiv https://arxiv.org/abs/0901.4163 [3] Publisher https://arxiv.org/abs/0901.4163

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