Frame Potential in CPn Some Numerical and Analytical Results

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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)26-32
Number of pages7
JournalExperimental Mathematics
Volume32
Issue number1
DOIs
StatePublished - 2023
Externally publishedYes

Bibliographical note

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

Keywords

  • CPn
  • Energy minimization
  • equiangular tight frame
  • frame potential

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