Theses and Dissertations

Issuing Body

Mississippi State University

Advisor

Rupak, Gautam

Committee Member

Novotny, Mark A.

Committee Member

Dutta, Dipangkar

Date of Degree

12-8-2023

Original embargo terms

Campus Access Only 6 Months

Document Type

Graduate Thesis - Open Access

Major

Physics

Degree Name

Master of Science (M.S.)

College

College of Arts and Sciences

Department

Department of Physics and Astronomy

Abstract

We explore the paradigm shift in quantum computing and quantum information science, emphasizing the synergy between hardware advancements and algorithm development. Only now have the recent advances in quantum computing hardware, despite a century of quantum mechanics, unveiled untapped potential, requiring innovative algorithms for full utilization. Project 1 addresses quantum applications in radiative reactions, overcoming challenges in many-fermion physics due to imaginary time evolution, stochastic methods like Monte Carlo simulations, and the associated sign problem. The methodology introduces the Electromagnetic Transition System and a general two-level system for computing radiative capture reactions. Project 2 utilizes Variational Quantum Eigensolver (VQE) to address the difficulties in adiabatic quantum computations, highlighting Singular Value Decomposition (SVD) in quantum computing. Results demonstrate an accurate ground state wavefunction match with only a 0.016% energy error. These projects advance quantum algorithm design, error mitigation, and SVD integration, showcasing quantum computing’s transformative potential in computational science.

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