Orbits of mutually unbiased bases

@article{Blanchfield2014OrbitsOM,
  title={Orbits of mutually unbiased bases},
  author={Kate Blanchfield},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={135303}
}
  • Kate Blanchfield
  • Published 17 October 2013
  • Mathematics, Physics
  • Journal of Physics A
We express Alltop?s construction of mutually unbiased bases as orbits under the Weyl?Heisenberg group in prime dimensions and find a related construction in dimensions 2 and 4. We reproduce Alltop?s mutually unbiased bases using abelian subgroups of the Clifford group in prime dimensions, in direct analogy to the well-known construction of mutually unbiased bases using abelian subgroups of the Weyl?Heisenberg group. Finally, we prove three theorems relating to the distances and linear… 
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