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Mutually Unbiased Bases and Their Symmetries

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

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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

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
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