Affine Constellations Without Mutually Unbiased Counterparts
arXiv:1007.3969 · doi:10.1088/1751-8113/43/40/402002
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.
8 pages
References in corpus (4)
- Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
- Weighted complex projective 2-designs from bases: optimal state determination by orthogonal measurements
- Numerical evidence for the maximum number of mutually unbiased bases in dimension six
- Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models