arXiv:1710.01482 [quant-ph]AbstractReferencesReviewsResources
Probability distributions of quaternionic quantum walks
Published 2017-10-04Version 1
The discrete-time quantum walk (QW) is determined by a unitary matrix whose component is complex number. Konno (2015) extended the QW to a walk whose component is quaternion.We call this model quaternionic quantum walk (QQW). The probability distribution of a class of QQWs is the same as that of the QW. On the other hand, a numerical simulation suggests that the probability distribution of a QQW is different from the QW. In this paper, we clarify the difference between the QQW and the QW by weak limit theorems for a class of QQWs.
Comments: 11 pages, 2 figures
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