A new type of spectral mapping theorem for quantum walks with a moving shift on graphs
Author:
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Modeling and Simulation,Signal Processing,Theoretical Computer Science,Statistical and Nonlinear Physics,Electronic, Optical and Magnetic Materials
Link
https://link.springer.com/content/pdf/10.1007/s11128-022-03493-x.pdf
Reference21 articles.
1. Aharonov, Y., Davidvich, L., Zagury, N.: Quantum random walks. Phys. Rev. A 48, 1687–1690 (1993)
2. Aharonov, D., Ambainis, A., Kempe, J., Vazirani, U.: Quantum walks on graphs. In: Proceedings of the 33rd Annual ACM Symposium on Theory of Computing, pp. 50–59 (2001)
3. Arveson, W.: A Short Course on Spectral Theory. Springer-Verlag, New York (2002)
4. Brouwer, A.E., Haemers, W.H.: Spectra of Graphs. Springer-Verlag, New York (2012)
5. Fuda, T., Funakawa, D., Suzuki, A.: Localization of a multi-dimensional quantum walk with one defect. Quantum Inf. Process. 16, 203–206 (2017)
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