Browsing Combinatorics and Optimization by Author "Zhan, Hanmeng"
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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 ... -
Uniform Mixing on Cayley Graphs over Z_3^d
Zhan, Hanmeng (University of Waterloo, 2014-05-22)This thesis investigates uniform mixing on Cayley graphs over Z_3^d. We apply Mullin's results on Hamming quotients, and characterize the 2(d+2)-regular connected Cayley graphs over Z_3^d that admit uniform mixing at time ...