English

Lars Brink and SIC_POVMs

Quantum Physics 2023-08-29 v1 High Energy Physics - Theory

Abstract

The notion of SIC-POVMs comes from quantum information theory, and they were not on the horizon when I was Lars Brink's student in the early 80s. In the summer of 2022 I told Lars that I know how to use number theoretical insights to construct SIC-POVMs in any Hilbert space of dimension n2+3n^2+3, and that the construction provides a geometric setting for some deep number theoretical conjectures. I will give a sketch of this development, of what it was like to be Lars' student, and of what his reaction to our construction was.

Cite

@article{arxiv.2308.13935,
  title  = {Lars Brink and SIC_POVMs},
  author = {Ingemar Bengtsson},
  journal= {arXiv preprint arXiv:2308.13935},
  year   = {2023}
}

Comments

For the Memorial Volume for Lars Brink, to be published by World Scientific; 15 pages, one picture

R2 v1 2026-06-28T12:05:08.776Z