Title
Upperbounds On The Probability Of Finding Marked Connected Components Using Quantum Walks
Abstract
Quantum walk search may exhibit phenomena beyond the intuition from a conventional random walk theory. One of such examples is exceptional configuration phenomenon-it appears that it may be much harder to find any of two or more marked vertices, that if only one of them is marked. In this paper, we analyze the probability of finding any of marked vertices in such scenarios and prove upperbounds for various sets of marked vertices. We apply the upperbounds to large collection of graphs and show that the quantum search may be slow even when taking real-world networks.
Year
DOI
Venue
2019
10.1007/s11128-020-02939-4
QUANTUM INFORMATION PROCESSING
Keywords
DocType
Volume
Quantum walks, General graph, Exceptional configurations, Stationary state, Lower bound, Upper bound
Journal
20
Issue
ISSN
Citations 
1
1570-0755
1
PageRank 
References 
Authors
0.37
4
4
Name
Order
Citations
PageRank
Adam Glos132.47
Nikolajs Nahimovs2364.95
Konstantin Balakirev310.37
Kamil Khadiev4267.92