Affine Constellations Without Mutually Unbiased Counterparts
Mathematical Physics
2010-09-17 v1 math.MP
Quantum Physics
Abstract
It has been conjectured that a complete set of mutually unbiased bases in a space of dimension d exists if and only if there is an affine plane of order d. We introduce affine constellations and compare their existence properties with those of mutually unbiased constellations, mostly in dimension six. The observed discrepancies make a deeper relation between the two existence problems unlikely.
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Cite
@article{arxiv.1007.3969,
title = {Affine Constellations Without Mutually Unbiased Counterparts},
author = {Stefan Weigert and Thomas Durt},
journal= {arXiv preprint arXiv:1007.3969},
year = {2010}
}
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8 pages