Publication Date
2021
Document Type
Dissertation/Thesis
First Advisor
Glatz, Andreas
Degree Name
M.S. (Master of Science)
Legacy Department
Department of Physics
Abstract
The simulation of quantum many-body systems and many-body statistical systems presents a challenge for classical computers. Quantum computation, which recently gained significant scientific interest, can provide a potential advantage over classical approaches in this area. While there are multiple methods for the simulation of the physics of many-body quantum systems, most of them scale exponentially with the number of elements. A Tensor Network approach allows to reduce this exponential scaling for some cases and reduces the pre-factor for others. This approach can be used for the simulation of classical statistical physics models, quantum many-body systems, and quantum computers in particular. In this thesis I present the notion of the tensor network approach, study implementation details, various optimizations, numerical efficiency of the computation, and present some computation results for various many-body models with comparison to established simulation algorithms.
Recommended Citation
Lykov, Danylo, "Tensor Network Approach for Simulation of Quantum Many-Body Systems" (2021). Graduate Research Theses & Dissertations. 7384.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/7384
Extent
80 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
