Abstract
AbstractThe problem of constructing maximal equiangular tight frames or SICs was raised by Zauner in 1998. Four years ago it was realized that the problem is closely connected to a major open problem in number theory. We discuss why such a connection was perhaps to be expected, and give a simplified sketch of some developments that have taken place in the past 4 years. The aim, so far unfulfilled, is to prove existence of SICs in an infinite sequence of dimensions.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy
Reference48 articles.
1. Fuchs, C.A., Schack, R.: From quantum interference to Bayesian coherence and back round again. In: Accardi, L., et al. (eds.) Foundations of Probability and Physics—5, AIP Conference Proceedings 1101. New York (2009)
2. Waldron, S.: An Introduction to Finite Tight Frames. Birkhäuser, Basel (2018)
3. Szöllősi, F.: All complex equiangular tight frames in dimension 3. arXiv:1402.6429
4. Zauner, G.: Quantendesigns. Grundzüge einer nichtkommutativen Designtheorie, PhD thesis, Universität Wien (1999)
5. also published as Quantum designs: foundations of a noncommutative design theory. Int. J. Quantum Inf. 9, 445 (2011)
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