An algorithm to factorize quantum walks into shift and coin operations
- verfasst von
- C. Cedzich, T. Geib, R. F. Werner
- Abstract
We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure into a protocol of two basic operations: a fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental set-up by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run on a qubit chain.
- Organisationseinheit(en)
-
Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
- Externe Organisation(en)
-
Heinrich-Heine-Universität Düsseldorf
- Typ
- Artikel
- Journal
- Letters in mathematical physics
- Band
- 112
- Anzahl der Seiten
- 12
- ISSN
- 0377-9017
- Publikationsdatum
- 10.2022
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Statistische und nichtlineare Physik, Mathematische Physik
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.2102.12951 (Zugang:
Offen)
https://doi.org/10.1007/s11005-022-01578-3 (Zugang: Offen)