Pretty good state transfer between internal nodes of paths
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Published:2017-08
Issue:9&10
Volume:17
Page:825-830
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ISSN:1533-7146
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Container-title:Quantum Information and Computation
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language:
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Short-container-title:QIC
Author:
Coutinho Gabriel,Guo Krystal,van Bommel Christopher M.
Abstract
In this paper, we show that, for any odd prime p and positive integer t, the path on 2tp−1 vertices admits pretty good state transfer between vertices a and (n + 1 − a) for each a that is a multiple of 2t−1 with respect to the quantum walk model determined by the XY-Hamiltonian. This gives the first examples of pretty good state transfer occurring between internal vertices on an unweighted path, when it does not occur on the extremal vertices.
Subject
Computational Theory and Mathematics,General Physics and Astronomy,Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics,Theoretical Computer Science
Cited by
2 articles.
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