Imprimitive Q-polynomial Association Schemes
Journal of Algebraic Combinatorics: An International Journal
Association Schemes with Multiple Q-polynomial Structures
Journal of Algebraic Combinatorics: An International Journal
The limitations of nice mutually unbiased bases
Journal of Algebraic Combinatorics: An International Journal
Imprimitive cometric association schemes: Constructions and analysis
Journal of Algebraic Combinatorics: An International Journal
Equiangular lines, mutually unbiased bases, and spin models
European Journal of Combinatorics
Journal of Combinatorial Theory Series A
New construction of mutually unbiased bases in square dimensions
Quantum Information & Computation
Unbiased complex Hadamard matrices and bases
Cryptography and Communications
Linking systems in nonelementary abelian groups
Journal of Combinatorial Theory Series A
Hi-index | 0.00 |
Mutually unbiased bases (MUBs) in complex vector spaces play several important roles in quantum information theory. At present, even the most elementary questions concerning the maximum number of such bases in a given dimension and their construction remain open. In an attempt to understand the complex case better, some authors have also considered real MUBs, mutually unbiased bases in real vector spaces. The main results of this paper establish an equivalence between sets of real mutually unbiased bases and 4-class cometric association schemes which are both Q-bipartite and Q-antipodal. We then explore the consequences of this equivalence, constructing new cometric association schemes and describing a potential method for the construction of sets of real MUBs.