Three ways to look at mutually unbiased bases

Abstract

This is a review of the problem of Mutually Unbiased Bases in finite dimensional Hilbert spaces, real and complex. Also a geometric measure of "mubness" is introduced, and applied to some recent calculations in six dimensions (partly done by Bjorck and by Grassl). Although this does not yet solve any problem, some appealing structures emerge.

18 pages. Talk at the Vaxjo Conference on Foundations of Probability and Physics, June 2006

References in corpus (4)

• Symmetric Informationally Complete Quantum Measurements
• On SIC-POVMs and MUBs in Dimension 6
• Real Mutually Unbiased Bases
• Orthogonal maximal abelian *-subalgebras of the 6x6 matrices

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