Kern, Oliver ; Ranade, Kedar S. ; Seyfarth, Ulrich (2010)
Complete sets of cyclic mutually unbiased bases in even prime-power dimensions.
In: Journal of Physics A: Mathematical and Theoretical, 43 (27)
doi: 10.1088/1751-8113/43/27/275305
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We present a construction method for complete sets of cyclic mutually unbiased bases (MUBs) in Hilbert spaces of even prime power dimensions. In comparison to the usual complete sets of MUBs, complete cyclic sets possess the additional property of being generated by a single unitary operator. The construction method is based on the idea of obtaining a partition of multi-qubit Pauli operators into maximal commuting sets of operators with the help of a suitable element of the Clifford group. As a consequence, we obtain complete sets of cyclic MUBs generated by a single element of the Clifford group in dimensions $2^m$ for $m=1,2,\dots,24$.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2010 |
| Autor(en): | Kern, Oliver ; Ranade, Kedar S. ; Seyfarth, Ulrich |
| Art des Eintrags: | Bibliographie |
| Titel: | Complete sets of cyclic mutually unbiased bases in even prime-power dimensions |
| Sprache: | Englisch |
| Publikationsjahr: | Juli 2010 |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Physics A: Mathematical and Theoretical |
| Jahrgang/Volume einer Zeitschrift: | 43 |
| (Heft-)Nummer: | 27 |
| DOI: | 10.1088/1751-8113/43/27/275305 |
| Kurzbeschreibung (Abstract): | We present a construction method for complete sets of cyclic mutually unbiased bases (MUBs) in Hilbert spaces of even prime power dimensions. In comparison to the usual complete sets of MUBs, complete cyclic sets possess the additional property of being generated by a single unitary operator. The construction method is based on the idea of obtaining a partition of multi-qubit Pauli operators into maximal commuting sets of operators with the help of a suitable element of the Clifford group. As a consequence, we obtain complete sets of cyclic MUBs generated by a single element of the Clifford group in dimensions $2^m$ for $m=1,2,\dots,24$. |
| Freie Schlagworte: | Secure Data |
| ID-Nummer: | TUD-CS-2010-0143 |
| Zusätzliche Informationen: | Art.No.: 275305 |
| Fachbereich(e)/-gebiet(e): | LOEWE LOEWE > LOEWE-Zentren 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Angewandte Physik 05 Fachbereich Physik > Institut für Angewandte Physik > Theoretische Quantenphysik LOEWE > LOEWE-Zentren > CASED – Center for Advanced Security Research Darmstadt |
| Hinterlegungsdatum: | 30 Dez 2016 20:23 |
| Letzte Änderung: | 01 Jul 2021 09:30 |
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