Spectral analysis for a multi-dimensional split-step quantum walk with a defect. (English) Zbl 07899030
Summary: This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analyzed in previous papers by Fuda et al. (Quantum Inf Process 18:203-226, 2017; J Math Phys 59:082201, 2018). To this end, we have developed a new technique which allow us to use a spectral mapping theorem for the one-defect model. We also derive the time-averaged limit measure for one-dimensional case as an application of the spectral analysis.
MSC:
| 81-XX | Quantum theory |
References:
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