Theses and Dissertations

Issuing Body

Mississippi State University

Advisor

Rupak, Gautam

Committee Member

Novotny, Mark

Committee Member

Dutta, Dipangkar

Date of Degree

8-13-2024

Original embargo terms

Visible MSU Only 6 months

Document Type

Graduate Thesis - Campus Access Only

Major

Physics

Degree Name

Master of Science (M.S.)

College

College of Arts and Sciences

Department

Department of Physics and Astronomy

Abstract

This thesis explores variational quantum algorithms, a promising class of hybrid algorithms that leverage the variational principles to simulate quantum systems in the Noisy Intermediate-Scale Quantum (NISQ) era. We present a comparative analysis of two types of Variational Quantum Eigensolver (VQE) methods, assessing their capability to obtain the ground state of a two-particle fermionic quantum system. Also presented is our work using VQE to find ground states of a two-particle system with short-ranged interactions. Additionally, we studied variational quantum time evolution using the McLachlan variational principle, and compared the state evolution to the exact solution. Our findings highlight the strengths and weaknesses of different VQE implementations in obtaining ground states of two-particle systems. Moreover, our exploration of variational time evolution demonstrated the feasibility of simulating two-particle systems over extended time steps, thus paving the way for more efficient quantum simulations to be integrated into more complex physics calculations.

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