Determination of Vortex Locations in a 2x2 Josephson Junction Array for Topological Quantum Computation
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 24, 2022
- Accession Number
- AD1176804
Entities
People
- Casey L. Kowalski
Organizations
- Air Force Institute of Technology