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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.14 No.13&14 October 2014 |
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Stability of point spectrum for three-state quantum walks on a line
(pp1213-1226)
Martin
Štefaňák, Iva Bezděková, Igor Jex, and Stephen M. Barnett
doi:
https://doi.org/10.26421/QIC14.13-14-11
Abstracts:
Evolution operators of certain quantum walks possess,
apart from the continuous part, also a point spectrum. The existence of
eigenvalues and the corresponding stationary states lead to partial
trapping of the walker in the vicinity of the origin. We analyze the
stability of this feature for three-state quantum walks on a line
subject to homogenous coin deformations. We find two classes of coin
operators that preserve the point spectrum. These new classes of coins
are generalizations of coins found previously by different methods and
shed light on the rich spectrum of coins that can drive discrete-time
quantum walks.
Key words:
quantum walk, localization |
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