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Three ways to look at mutually unbiased bases
Ingemar Bengtsson
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…
Mubs and Hadamards of Order Six
Ingemar Bengtsson, Wojciech Bruzda, Asa Ericsson +3
We report on a search for mutually unbiased bases (MUBs) in 6 dimensions. We find only triplets of MUBs, and thus do not come close to the theoretical upper bound 7. However, we po…
An Introduction to Quantum Entanglement: a Geometric Approach
Karol Zyczkowski, Ingemar Bengtsson
We present a concise introduction to quantum entanglement. Concentrating on bipartite systems we review the separability criteria and measures of entanglement. We focus our attenti…
Flat Information Geometries in Black Hole Thermodynamics
J. E. Aman, Ingemar Bengtsson, Narit Pidokrajt
The Hessian of either the entropy or the energy function can be regarded as a metric on a Gibbs surface. For two parameter families of asymptotically flat black holes in arbitrary…