English

SICs: Some explanations

Quantum Physics 2020-05-20 v1

Abstract

The problem of constructing maximal equiangular tight frames or SICs was raised by Zauner in 1998. Four years ago it was realized that the problem is closely connected to a major open problem in number theory. We discuss why such a connection was perhaps to be expected, and give a simplified sketch of some developments that have taken place in the past four years. The aim, so far unfulfilled, is to prove existence of SICs in an infinite sequence of dimensions.

Cite

@article{arxiv.2004.08241,
  title  = {SICs: Some explanations},
  author = {Ingemar Bengtsson},
  journal= {arXiv preprint arXiv:2004.08241},
  year   = {2020}
}

Comments

20 pages, 2 figures. Based on talks in V\"axj\"o and at Jerzy Lewandowski's birthday

R2 v1 2026-06-23T14:55:15.929Z