All Mutually Unbiased Bases in Dimensions Two to Five
Mathematical Physics
2010-08-09 v2 math.MP
Quantum Physics
Abstract
All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.
Keywords
Cite
@article{arxiv.0907.4097,
title = {All Mutually Unbiased Bases in Dimensions Two to Five},
author = {Stephen Brierley and Stefan Weigert and Ingemar Bengtsson},
journal= {arXiv preprint arXiv:0907.4097},
year = {2010}
}
Comments
As the published version with minor changes