Farrelly, T.: A review of quantum cellular automata. In: Quantum 4 (2020), 268. DOI: https://doi.org/10.22331/Q-2020-11-30-368
Zusammenfassung: | |
Discretizing spacetime is often a natural step towards modelling physical systems. For quantum systems, if we also demand a strict bound on the speed of information propagation, we get quantum cellular automata (QCAs). These originally arose as an alternative paradigm for quantum computation, though more recently they have found application in understanding topological phases of matter and have been proposed as models of periodically driven (Floquet) quantum systems, where QCA methods were used to classify their phases. QCAs have also been used as a natural discretization of quantum field theory, and some interesting examples of QCAs have been introduced that become interacting quantum field theories in the continuum limit. This review discusses all of these applications, as well as some other interesting results on the structure of quantum cellular automata, including the tensor-network unitary approach, the index theory and higher dimensional classifications of QCAs. © 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved. | |
Lizenzbestimmungen: | CC BY 4.0 Unported |
Publikationstyp: | Article |
Publikationsstatus: | publishedVersion |
Erstveröffentlichung: | 2020 |
Die Publikation erscheint in Sammlung(en): | Fakultät für Mathematik und Physik |
Pos. | Land | Downloads | ||
---|---|---|---|---|
Anzahl | Proz. | |||
1 | Germany | 84 | 56,76% | |
2 | United States | 26 | 17,57% | |
3 | China | 8 | 5,41% | |
4 | No geo information available | 4 | 2,70% | |
5 | Ukraine | 3 | 2,03% | |
6 | Morocco | 3 | 2,03% | |
7 | Indonesia | 3 | 2,03% | |
8 | Finland | 3 | 2,03% | |
9 | France | 2 | 1,35% | |
10 | Denmark | 2 | 1,35% | |
andere | 10 | 6,76% |
Hinweis
Zur Erhebung der Downloadstatistiken kommen entsprechend dem „COUNTER Code of Practice for e-Resources“ international anerkannte Regeln und Normen zur Anwendung. COUNTER ist eine internationale Non-Profit-Organisation, in der Bibliotheksverbände, Datenbankanbieter und Verlage gemeinsam an Standards zur Erhebung, Speicherung und Verarbeitung von Nutzungsdaten elektronischer Ressourcen arbeiten, welche so Objektivität und Vergleichbarkeit gewährleisten sollen. Es werden hierbei ausschließlich Zugriffe auf die entsprechenden Volltexte ausgewertet, keine Aufrufe der Website an sich.