4 citations · 9 across the 9 of their papers we have counts for
9 papers
On the mathematical foundations of mutually unbiased bases
Koen Thas
In order to describe the right setting to handle Zauner's conjecture on mutually unbiased bases (MUBs) (saying that in , a set of MUBs of the theoretical maximal size…
Unextendible mutually unbiased bases (after Mandayam, Bandyopadhyay, Grassl and Wootters)
Koen Thas
We consider questions posed in a recent paper of Mandayam, Bandyopadhyay, Grassl and Wootters [10] on the nature of "unextendible mutually unbiased bases." We describe a conceptual…
A criterion concerning Singer groups of generalized quadrangles, and construction of uniform lattices in -buildings
Stefaan De Winter, Koen Thas
We describe a simple criterion to construct Singer groups of Payne-derived generalized quadrangles, yielding, as a corollary, a classification of Singer groups of the classical Pay…
Hyperfield extensions, characteristic one and the Connes-Consani plane connection
Koen Thas
Inspired by a recent paper of Alain Connes and Catherina Consani which connects the geometric theory surrounding the elusive field with one element to sharply transitive group acti…
An obstruction relating locally finite polygons to translation quadrangles
Koen Thas
One of the most fundamental open problems in Incidence Geometry, posed by Tits in the 1960s, asks for the existence of so-called "locally finite generalized polygons" | that is, ge…
The combinatorial-motivic nature of -schemes
Koen Thas
We review Deitmar's theory of monoidal schemes to start with, and have a detailed look at the standard examples. It is explained how one can combinatorially study such schemes thro…