Date of Award
Master of Science
Department of Engineering Physics
Michael V. Pak, PhD
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.
DTIC Accession Number
Kowalski, Casey L., "Determination of Vortex Locations in a 2x2 Array of Josephson Junctions for Topological Quantum Computation" (2022). Theses and Dissertations. 5467.