Affine Constellations Without Mutually Unbiased Counterparts

Details Affine Constellations Without Mutually Unbiased Counterparts Affine Constellations Without Mutually Unbiased Counterparts

2010-07-22

arxiv.org/abs/1007.3969v1

J. Phys. A 43 (2010) 402002

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/1751-8113/43/40/402002

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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