Abstract
As some problems are best solved in classical computation with algorithms based on random walks, it is expected that this type of problems could be solved even faster using quantum walks (Knight et al. 2003b). Kendon (2006b) gave an introductory overview of quantum walk algorithms in the context of prospects for practical quantum computing, particularly in three areas: (a) simulation of classical systems; (b) simulation of quantum systems; and (c) analogue computing. Another review of the subject is provided by Ambainis (2003) who highlighted two main classes of quantum walk algorithms (a) exponentially faster hitting and (b) quantum walk based search. In this chapter we will examine these and a number of other algorithmic applications of quantum walks.
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Manouchehri, K., Wang, J. (2014). Potential Applications. In: Physical Implementation of Quantum Walks. Quantum Science and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36014-5_2
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