English

An operational link between MUBs and SICs

Quantum Physics 2013-10-04 v2

Abstract

We exhibit an operational connection between mutually unbiased bases and symmetric infomationally complete positive operator-valued measures. Assuming that the latter exists, we show that there is a strong link between these two structures in all prime power dimensions. We also demonstrate that a similar link cannot exists in dimension 6.

Keywords

Cite

@article{arxiv.1306.6002,
  title  = {An operational link between MUBs and SICs},
  author = {Roberto Beneduci and Tom Bullock and Paul Busch and Claudio Carmeli and Teiko Heinosaari and Alessandro Toigo},
  journal= {arXiv preprint arXiv:1306.6002},
  year   = {2013}
}

Comments

17 pages, 2 figures

R2 v1 2026-06-22T00:40:06.384Z