"Pretty Good State Transfer and Fractional Revival in Double Extended S" by Kellon G. Sandall

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/

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

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