M.S. (Master of Science)
Department of Physics
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.
Lykov, Danylo, "Tensor Network Approach for Simulation of Quantum Many-Body Systems" (2021). Graduate Research Theses & Dissertations. 7384.
Northern Illinois University
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