Work

All complex equiangular tight frames in dimension 3

Year: 2014

Type: preprint

Abstract: In this paper we describe some new algebraic features of the Gram matrices of complex Equiangular Tight Frames (ETF). This lead on the one hand to the nonexistence of several low dimensional complex ETFs; and on the other hand to the full algebraic classification of all complex ETFs in C^3. We use computer aided methods, in particular, Groebner basis computations to obtain these results.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1402.6429

Author: Szöllősi, Ferenc

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fonds National de la Recherche Luxembourg, Hungarian Scientific Research Fund, Japan Society for the Promotion of Science

OpenAlex ID: W1798099068

Cites: 8

Cited by: 24

Related to: 20