Two decades ago, Zauner conjectured that for every dimension d, there exists an equiangular tight frame consisting of d² vectors in C^d . Most progress to date explicitly constructs the promised frame in various dimensions, and it now appears that a constructive proof of Zauner’s conjecture may require progress on the Stark conjectures. In this paper, we propose an alternative approach involving biangular Gabor frames that may eventually lead to an unconditional non-constructive proof of Zauner’s conjecture.

Date Published: 9 September 2019
PDF: 6 pages
Proc. SPIE 11138, Wavelets and Sparsity XVIII, 111381G (9 September 2019); doi: 10.1117/12.2529671

Published in SPIE Proceedings Vol. 11138:
Wavelets and Sparsity XVIII
Dimitri Van De Ville; Manos Papadakis; Yue M. Lu, Editor(s)