Frame Potential in CPn  Some Numerical and Analytical Results

Radel Ben Av; Giora Dula; Assaf Goldberger; Yossi Strassler

doi:10.1080/10586458.2020.1753597

Frame Potential in CPⁿ Some Numerical and Analytical Results

Radel Ben Av, Giora Dula, Assaf Goldberger, Yossi Strassler

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we discuss minimizing a generalized frame potential - F(p,m,n) - for vectors in CPⁿ. We discuss the minimal frame potential as well as the space of solutions for the minimization problem. We investigate this question both numerically and analytically. We find that for some values of p - Equiangular Tight Frames (ETF) are unique solutions, in contrast to the case of p = 2 where they are non-unique solutions.

Original language	English
Pages (from-to)	26-32
Number of pages	7
Journal	Experimental Mathematics
Volume	32
Issue number	1
DOIs	https://doi.org/10.1080/10586458.2020.1753597
State	Published - 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Taylor & Francis Group, LLC.

Keywords

CPn
Energy minimization
equiangular tight frame
frame potential

Access to Document

10.1080/10586458.2020.1753597

Cite this

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