2010/09/13 by Matolcsi, Mate
#05B10 #15A30 #47L05 #Commutative Algebra (math.AC) #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.1009.2407
We give an entirely new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique in additive combinatorics. The method provides a short and elegant generalization of the fact that there are at most d+1 MUBs in \Cod. It may also yield a proof that no complete system of MUBs exists in some composite dimensions -- a long standing open problem.