Quantum Simulation of Simple Many-Body Dynamics

Fuente: arXiv
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Auteur principal: Fan, Yale
Format: Preprint
Publié: 2009
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author Fan, Yale
author_facet Fan, Yale
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_0901_4163
institution arXiv
publishDate 2009
record_format arxiv
spellingShingle Quantum Simulation of Simple Many-Body Dynamics
Fan, Yale
Quantum Physics
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.
title Quantum Simulation of Simple Many-Body Dynamics
topic Quantum Physics
url https://arxiv.org/abs/0901.4163