On the equivalence between real mutually unbiased bases and a certain class of association schemes

@article{LeCompte2010OnTE,
  title={On the equivalence between real mutually unbiased bases and a certain class of association schemes},
  author={Nicholas LeCompte and William J. Martin and William Owens},
  journal={Eur. J. Comb.},
  year={2010},
  volume={31},
  pages={1499-1512}
}
Mutually unbiased bases (MUBs) in complex vector spaces play several important roles in quantum information theory. At present, even the most elementary questions concerning the maximum number of such bases in a given dimension and their construction remain open. In an attempt to understand the complex case better, some authors have also considered real MUBs, mutually unbiased bases in real vector spaces. The main results of this paper establish an equivalence between sets of real mutually… CONTINUE READING

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