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Interdisciplinary Information Sciences
Vol. 23 (2017) No. 1 p. 105-114

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http://doi.org/10.4036/iis.2017.A.13

Quantum Simulation and Quantum Walks

We discuss the description of eigenspace of a quantum walk model U with an associating linear operator T in abstract settings of quantum walk including the Szegedy walk on graphs. In particular, we provide the spectral mapping theorem of U without the spectral decomposition of T. Arguments in this direction reveal the eigenspaces of U characterized by the generalized kernels of linear operators given by T.

Copyright © 2017 by the Graduate School of Information Sciences (GSIS), Tohoku University

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