Spectral analysis for a multi-dimensional split-step quantum walk with a defect
| Autor: | Fuda, Toru, Narimatsu, Akihiro, Saito, Kei, Suzuki, Akito |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analysed in the previous papers. 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. Comment: 19 pages |
| Databáze: | arXiv |
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