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1. A Note on the Spectral Mapping Theorem of Quantum Walk Models.

Author

Kaname MATSUE, Osamu OGURISU, and Etsuo SEGAWA

Subjects
*QUANTUM computing, *COMPUTER science, *LINEAR operators, *KERNEL functions, *EIGENANALYSIS
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2017
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