Browsing Theses by Subject "Quantum walks"
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Algebraic Aspects of Multi-Particle Quantum Walks
(University of Waterloo, 2012-12-04)A continuous time quantum walk consists of a particle moving among the vertices of a graph G. Its movement is governed by the structure of the graph. More formally, the adjacency matrix A is the Hamiltonian that determines ... -
Quantum State Transfer in Graphs
(University of Waterloo, 2014-08-13)Let X be a graph, A its adjacency matrix, and t a non-negative real number. The matrix exp(i t A) determines the evolution in time of a certain quantum system defined on the graph. It represents a continuous-time quantum ...