Abstract
Much research has been done in the realm of quantum walks over networks of qubits. We primarily study a type of graph consisting of a path with two stars connected to the leaves which we call a Double Extended Star. We find that Pretty Good State Transfer can occur in many ways in a Double Extended Star and that Fractional Revival cannot occur in Double Extended Stars except when the length of the path within is one.
Degree
MS
College and Department
Mathematics; Computational, Mathematical, and Physical Sciences
Rights
https://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Sandall, Kellon G., "Pretty Good State Transfer and Fractional Revival in Double Extended Star Graphs" (2024). Theses and Dissertations. 10535.
https://scholarsarchive.byu.edu/etd/10535
Date Submitted
2024-08-12
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd13373
Keywords
quantum, computing, perfect state transfer, pretty good state transfer, fractional revival, double extended star graphs, cospectral vertices, equitable partitions
Language
english