TL;DR
This paper studies continuous-time quantum walks on star graphs, demonstrating convergence to walks on complete graphs with uniform distribution of observation probabilities, revealing fundamental quantum behavior on these structures.
Contribution
It introduces a quantum central limit theorem for star graphs, showing convergence to walks on K2 graphs and uniform distribution of observation probabilities.
Findings
Quantum central limit theorem for star graphs
Convergence to quantum walks on K2 graphs
Observation probabilities tend to uniform distribution
Abstract
In this paper, we investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for -fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on graphs (Complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.
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