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arXiv · 1409.3386

On the mathematical foundations of mutually unbiased bases

Koen Thas
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Abstract

In order to describe the right setting to handle Zauner's conjecture on mutually unbiased bases (MUBs) (saying that in $\mathbb{C}^d$, a set of MUBs of the theoretical maximal size $d + 1$ exists only if $d$ is a prime power), we pose some fundamental questions which naturally arise. Some of these questions have important consequences for the construction theory of (new) sets of maximal MUBs.

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Koen Thas. 2014-09-11. On the mathematical foundations of mutually unbiased bases. https://arxiv.org/abs/1409.3386

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