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Perfect state transfer, Equitable partition and Continuous-time quantum walk based search

2022/09/16 by Yusuke Ide, Ide, Yusuke, Akihiro Narimatsu +1
Computer Science · #05C50 #81Q99 #FOS: Physical sciences #Neural Networks and Reservoir Computing #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.2209.07688

openalex publication_date 2022/09/16 · openalex created_date 2022/09/20 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equitable partition of the graph and perfect state transfer on it. By these two methods, we can calculate the success probability and the finding time of the search algorithm. In addition, we gave some examples of graphs that we can calculate the success probability and the finding time.

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