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Abstract

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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. 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.

Details

1009240
Subject
Exact solutions;
Mathematical models;
Quantum computers;
Polyatomic molecules;
Evolutionary algorithms;
Computer simulation;
Three dimensional bodies
URL
http://arxiv.org/abs/0901.4163
Title
Quantum Simulation of Simple Many-Body Dynamics
Author
Fan, Yale
Publication title
arXiv.org; Ithaca
Publication year
2010
Publication date
Jul 13, 2010
Section
Quantum Physics
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
Publication subject
Biology, Statistics, Physics, Mathematics, Engineering--Electrical Engineering, Computers--Computer Engineering, Business And Economics--Banking And Finance
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2010-07-14
Milestone dates
2009-01-27 (Submission v1); 2009-03-25 (Submission v2); 2009-09-04 (Submission v3); 2010-07-13 (Submission v4)
Publication history
 
 
   First posting date
14 Jul 2010
ProQuest document ID
2087525368
Document URL
https://www.proquest.com/working-papers/quantum-simulation-simple-many-body-dynamics/docview/2087525368/se-2?accountid=208611
Full text outside of ProQuest
http://arxiv.org/abs/0901.4163
Copyright
© 2010. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2021-11-04
Database
ProQuest One Academic