Interval spectrum for electric quantum walk and related skew-shift CMV matrices
Abstract We show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matrices defined by skew-shifts, as well as a family of the Blattner and Browne model. Generalizations to CMV matrices with skew-shifts on higher dimensional torus are also obtained.
Authors
- Fan Yang (ORCID: https://orcid.org/0000-0003-2311-8426)
Institutions
- Louisiana State University (US)
Publication Details
- Journal
- Letters in Mathematical Physics
- Published
- 2025-05-07
- DOI
- https://doi.org/10.1007/s11005-025-01934-z
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00