Browsing Mathematics (Faculty of) by Subject "quantum walks"

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Discrete Quantum Walks on Graphs and Digraphs

Zhan, Hanmeng (University of Waterloo, 2018-09-26)

This thesis studies various models of discrete quantum walks on graphs and digraphs via a spectral approach. A discrete quantum walk on a digraph $X$ is determined by a unitary matrix $U$, which acts on complex functions ...
Frameworks for Quantum Algorithms

Jeffery, Stacey (University of Waterloo, 2014-08-26)

Due to the difficulty of constructing new quantum algorithms, frameworks that facilitate this construction are of great importance in quantum computing. These frameworks reduce the problem of coming up with a quantum ...
Quantum Walks on Oriented Graphs

Lato, Sabrina (University of Waterloo, 2019-01-11)

This thesis extends results about periodicity and perfect state transfer to oriented graphs. We prove that if a vertex a is periodic, then elements of the eigenvalue support lie in Z √∆ for some squarefree negative ...