An application of positive definite functions to the problem of MUBs
Quantum Physics
2016-12-30 v1
Abstract
We present a new approach to the problem of mutually unbiased bases (MUBs), based on positive definite functions on the unitary group. The method provides a new proof of the fact that there are at most MUBs in . It may also lead to a proof of non-existence of complete systems of MUBs in dimension 6 via a conjectured algebraic identity.
Cite
@article{arxiv.1612.09000,
title = {An application of positive definite functions to the problem of MUBs},
author = {Mihail N. Kolountzakis and Máté Matolcsi and Mihály Weiner},
journal= {arXiv preprint arXiv:1612.09000},
year = {2016}
}