The problem of mutually unbiased bases in dimension 6

We outline a discretization approach to determine the maximal number of mutually unbiased bases in dimension 6. We describe the basic ideas and introduce the most important definitions to tackle this famous open problem which has been open for the last 10 years. Some preliminary results are also listed. Dedicated to Prof. Warwick de Launey on the occasion of his 50th birthday Keywords and phrases. Mutually unbiased bases, complex Hadamard matrices

• Type: Journal
• Year: 2010
• Where: CCDS
• Authors: Philippe Jaming, Máté Matolcsi, Péter Móra
• Keywords: CCDS 2010, Complex Hadamard Matrices, Computational Geometry, Famous Open Problem, Mutually Unbiased Bases