Date of Award
3-2022
Document Type
Thesis
Degree Name
Master of Science
Department
Department of Engineering Physics
First Advisor
Michael V. Pak, PhD
Abstract
A large barrier to practical quantum computation exists in the form of qubit decoherence, which leads to high noise and error when implementing quantum algorithms. A potential solution to this problem is the use of topologically-protected Majorana-based qubits, as their nonlocal nature and unique non-abelian exchange statistics render them virtually immune to decoherence while still allowing the state to be easily manipulated. For such a qubit to be constructed, it is essential to know the locations of the Majorana-hosting vortices in the system. This work presents a solution for the formation locations of vortices in a 2x2 superconducting island array, paving the way for the analysis of larger arrays that allow for the physical exchange of particles. Additionally, a method for determining the vortex locations in an irregularly-shaped Josephson junction is derived, allowing for accurate predictions of Majorana fermion locations in manufactured systems where the junctions may not be perfectly straight.
AFIT Designator
AFIT-ENP-MS-22-M-099
DTIC Accession Number
AD1176804
Recommended Citation
Kowalski, Casey L., "Determination of Vortex Locations in a 2x2 Array of Josephson Junctions for Topological Quantum Computation" (2022). Theses and Dissertations. 5467.
https://scholar.afit.edu/etd/5467