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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

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
unitarites_spectral_9.pdf unitarites_spectral_9 (344.8 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 76324

Richard, Serge

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Suzuki, A.

× Suzuki, A.

WEKO 76325

Suzuki, A.

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Tiedra de Aldecoa, R.

× Tiedra de Aldecoa, R.

WEKO 76326

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
著者版フラグ
値 author
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