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Quantum walks with an anisotropic coin I: spectral theory
http://hdl.handle.net/2237/00027947
77130a09-0bb2-4170-b52d-d386fcd81d92
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-05-08 | |||||
タイトル | ||||||
タイトル | Quantum walks with an anisotropic coin I: spectral theory | |||||
著者 |
Richard, Serge
× Richard, Serge× Suzuki, A.× Tiedra de Aldecoa, R. |
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権利 | ||||||
権利情報 | “This is a post-peer-review, pre-copyedit version of an article published in [Letters in Mathematical Physics]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11005-017-1008-1”. | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Quantum walks | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Spectral theory | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Commutator methods | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Unitary operators | |||||
抄録 | ||||||
内容記述 | We perform the spectral analysis of the evolution operator U of quantum walks with an anisotropic coin, which include one-defect models, two-phase quantum walks, and topological phase quantum walks as special cases. In particular, we determine the essential spectrum of U, we show the existence of locally U-smooth operators, we prove the discreteness of the eigenvalues of U outside the thresholds, and we prove the absence of singular continuous spectrum for U. Our analysis is based on new commutator methods for unitary operators in a two-Hilbert spaces setting, which are of independent interest. | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2019/02/01 | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
出版者 | Springer | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | http://doi.org/10.1007/s11005-017-1008-1 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0377-9017 | |||||
書誌情報 |
Letters in Mathematical Physics 巻 108, 号 2, p. 331-357, 発行日 2018-02-01 |
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著者版フラグ | ||||||
値 | author |