Alber, Gernot ; Charnes, Christopher (2024)
Mutually Unbiased Bases and Their Symmetries.
In: Quantum Reports, 2019, 1 (2)
doi: 10.26083/tuprints-00022273
Article, Secondary publication, Publisher's Version
![[img]](https://tuprints.ulb.tu-darmstadt.de/style/images/fileicons/text.png) |
Text
quantumrep-01-00020.pdf Copyright Information: CC BY 4.0 International - Creative Commons, Attribution. Download (305kB) |
| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | Mutually Unbiased Bases and Their Symmetries |
| Language: | English |
| Date: | 12 January 2024 |
| Place of Publication: | Darmstadt |
| Year of primary publication: | 2019 |
| Place of primary publication: | Basel |
| Publisher: | MDPI |
| Journal or Publication Title: | Quantum Reports |
| Volume of the journal: | 1 |
| Issue Number: | 2 |
| DOI: | 10.26083/tuprints-00022273 |
| Corresponding Links: | |
| Origin: | Secondary publication DeepGreen |
| Abstract: | We present and generalize the basic ideas underlying recent work aimed at the construction of mutually unbiased bases in finite dimensional Hilbert spaces with the help of group and graph theoretical concepts. In this approach finite groups are used to construct maximal sets of mutually unbiased bases. Thus the prime number restrictions of previous approaches are circumvented and this construction principle sheds new light onto the intricate relation between mutually unbiased bases and characteristic geometrical structures of Hilbert spaces. |
| Uncontrolled Keywords: | mutually unbiased bases, group representations, graphs, quantum information |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-222737 |
| Additional Information: | This article belongs to the Special Issue Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019) |
| Classification DDC: | 500 Science and mathematics > 530 Physics |
| Divisions: | 05 Department of Physics > Institute of Applied Physics |
| Date Deposited: | 12 Jan 2024 13:45 |
| Last Modified: | 06 Feb 2024 07:55 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/22273 |
| PPN: | 515250147 |
| Export: |
 |
View Item |
Drucken
Impressum