Quantum walks with memory on cycles

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.

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Year of publication:	2014
Authors:	Mc Gettrick, Michael ; Miszczak, Jarosław Adam
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 399.2014, C, p. 163-170
Publisher:	Elsevier
Subject:	Quantum walks \| Markov processes \| Limiting distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060275