Michael Mc Gettrick, Jarosław Adam Miszczak
Published 2013-01-14, updated 2014-02-06Version 2
We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probability distribution of the introduced quantum walk. Using the obtained results, we discuss the properties of the introduced model and the difference in comparison to the memoryless model.
Comments: 6 pages, 2 figures, published version
Journal: Physica A, Vol. 399, pp. 163-170 (2014)
Properties and Application of Nondeterministic Quantum Query Algorithms
The elision of the subject and the manifestation of the world
Properties of Open Quantum Walks on $\mathbb{Z}$
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