# 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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