Publications
Article · Lobachevskii Journal of Mathematics · September 1, 2018
On the Probability of Finding Marked Connected Components Using Quantum Walks
Kamil Ravilevich Khadiev, Nikolajs Nahimovs, Raqueline A. M. Santos
Abstract
Finding a marked vertex in a graph can be a complicated task when using quantum walks. Recent results show that for two or more adjacent marked vertices search by quantum walk with Grover’s coin may have no speed-up over classical exhaustive search. In this paper, we analyze the probability of finding a marked vertex for a set of connected components of marked vertices. We prove two upper bounds on the probability of finding a marked vertex and sketch further research directions.
Quantum Computing Algorithms and ArchitectureQuantum Mechanics and ApplicationsQuantum Information and Cryptographyquantum walksconnected componentsgraph search
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