Orbits of mutually unbiased bases
Quantum Physics
2015-06-17 v3
Abstract
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 dependencies among different sets of mutually unbiased bases.
Cite
@article{arxiv.1310.4684,
title = {Orbits of mutually unbiased bases},
author = {Kate Blanchfield},
journal= {arXiv preprint arXiv:1310.4684},
year = {2015}
}
Comments
21 pages