English

Three ways to look at mutually unbiased bases

Quantum Physics 2015-06-26 v1

Abstract

This is a review of the problem of Mutually Unbiased Bases in finite dimensional Hilbert spaces, real and complex. Also a geometric measure of "mubness" is introduced, and applied to some recent calculations in six dimensions (partly done by Bjorck and by Grassl). Although this does not yet solve any problem, some appealing structures emerge.

Keywords

Cite

@article{arxiv.quant-ph/0610216,
  title  = {Three ways to look at mutually unbiased bases},
  author = {Ingemar Bengtsson},
  journal= {arXiv preprint arXiv:quant-ph/0610216},
  year   = {2015}
}

Comments

18 pages. Talk at the Vaxjo Conference on Foundations of Probability and Physics, June 2006