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A Note on the Spectral Mapping Theorem of Quantum Walk Models by Matsue, Kaname; Ogurisu, Osamu; Segawa, Etsuo is a scholarly article available to read on EtoBox.

What is A Note on the Spectral Mapping Theorem of Quantum Walk Models about?

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 $T$.

Author

Matsue, Kaname; Ogurisu, Osamu; Segawa, Etsuo

Published

2016

Language

EN