On SIC-POVMs and MUBs in Dimension 6
Quantum Physics
2009-05-25 v2
Abstract
We provide a partial solution to the problem of constructing mutually unbiased bases (MUBs) and symmetric informationally complete POVMs (SIC-POVMs) in non-prime-power dimensions. An algebraic description of a SIC-POVM in dimension six is given. Furthermore it is shown that several sets of three mutually unbiased bases in dimension six are maximal, i.e., cannot be extended.
Keywords
Cite
@article{arxiv.quant-ph/0406175,
title = {On SIC-POVMs and MUBs in Dimension 6},
author = {Markus Grassl},
journal= {arXiv preprint arXiv:quant-ph/0406175},
year = {2009}
}
Comments
Results on maximal sets of MUBs in dimension 4 together with an appendix with the 48 vectors in dimension 6 are added. Omission in Lemma 2 corrected