Applications of Noisy Intermediate-Scale Quantum Computing to Many-Body Nuclear Physics
Hall, Benjamin Prescott
author
Hjorth-Jensen, Morten
thesis advisor
Bogner, Scott
degree committee member
Lee, Dean
degree committee member
Pollanen, Johannes
degree committee member
Bazavov, Alexei
degree committee member
Lin, Huey-Wen
degree committee member
text
Text
Theses
No place, unknown, or undetermined
2022
2022
eng
English
application/pdf
235 pages
Many-body nuclear physics is the bridge that takes us from the fundamental laws governing individual nucleons to understanding how groups of them interact together to form the nuclei that lie at the heart of all atoms, the building blocks of our universe. Many powerful techniques of classical computation have been developed over the years in order to study ever more complex nuclear systems. However, we seem to be approaching the limits of such classical techniques as the complexity of many-body quantum systems grows exponentially. Yet, the recent development of quantum computers offers one hope as they are predicted to provide a significant advantage over classical computers when tackling problems such as the quantum many-body problem. In this thesis, we focus on developing and applying algorithms to tackle various many-body nuclear physics problems that can be run on the near-term quantum computers of the current noisy intermediate-scale quantum (NISQ) era. As these devices are small and noisy, we focus our algorithms on various many-body toy models in order to gain insight and create a foundation upon which future algorithms will be built to tackle the intractable problems of our time. In the first part, we tailor current quantum algorithms to efficiently run on NISQ devices and apply them to three pairing models of many-body nuclear physics, the Lipkin model, the Richardson pairing model, and collective neutrino oscillations. For the first two models, we solve for the ground-state energy while for the third, we simulate the time evolution and characterize the entanglement. In the second part, we develop novel algorithms to increase the efficiency and applicability of current algorithms on NISQ devices. These include an algorithm that compresses circuit depth to allow for less noisy computation and a variational method to prepare an important class of quantum states. Error mitigation techniques used to improve the accuracy of results are also discussed. All together, this work provides a road map for applications of the quantum computers of tomorrow to solve what nuclear phenomena mystify us today.
Benjamin Prescott Hall
Thesis (Ph.D.)--Michigan State University. Physics - Doctor of Philosophy, 2022
Includes bibliographical references
Physics
Quantum physics
Nuclear physics and radiation
Nuclear physics
Physics
Quantum theory
Electronic Theses & Dissertations
etd_root
Hall_grad.msu_0128D_19432
Attribution 4.0 International
Attribution 4.0 International: You are free to: share--copy and redistribute the material in any medium or format; adapt--remix, transform, and build upon the material for any purpose, even commercially. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
https://doi.org/doi:10.25335/a6a8-7f32
rda
2023-02-17
2023-02-17
Converted from MARCXML to MODS version 3.7 using a custom XSLT.
eng