<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Weigert, Stefan</style></author><author><style face="normal" font="default" size="100%">Durt, Thomas</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Affine Constellations Without Mutually Unbiased Counterparts</style></title><secondary-title><style face="normal" font="default" size="100%">J. Phys. A</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Mathematical Physics</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><volume><style face="normal" font="default" size="100%"> 43 </style></volume><abstract><style face="normal" font="default" size="100%">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. </style></abstract><section><style face="normal" font="default" size="100%">402002</style></section></record></records></xml>