All complex equiangular tight frames in dimension 3

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All complex equiangular tight frames in dimension 3

Ferenc Szöllősi

Feb 26, 2014

Citations

Journal

arXiv: Functional Analysis

Semantic Scholar

Key Takeaway

Key Takeaway: This paper identifies new algebraic features of complex Equiangular Tight Frames (ETF) and provides a full algebraic classification of all complex ETFs in C3.

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.

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