Mutually Unbiased Bases and Orthogonal Latin Squares -- version 3
Quantum Physics
2026-01-26 v3
Abstract
In this paper, we prove that the existence of a complete set of mutually unbiased bases (MUBs) in N-dimensional Hilbert space implies the existence of a complete set of mutually orthogonal Latin squares (MOLSs) of order N. In particular, we prove that a complete set of MUBs does not exist in dimension six (the first dimension which is not a power of prime).
Keywords
Cite
@article{arxiv.2511.03537,
title = {Mutually Unbiased Bases and Orthogonal Latin Squares -- version 3},
author = {Stefan Joka},
journal= {arXiv preprint arXiv:2511.03537},
year = {2026}
}
Comments
Version 3 differs from version 2 only in few places (section:proof of main theorem) where, for instance, a word projector is replaced by MUB projector etc