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Mutually Unbiased Bases and The Complementarity Polytope
Ingemar Bengtsson, Asa Ericsson
A complete set of N+1 mutually unbiased bases (MUBs) forms a convex polytope in the N^2-1 dimensional space of NxN Hermitian matrices of unit trace. As a geometrical object such a…
MUBs, polytopes, and finite geometries
Ingemar Bengtsson
A complete set of N+1 mutually unbiased bases (MUBs) exists in Hilbert spaces of dimension N = p^k, where p is a prime number. They mesh naturally with finite affine planes of orde…
The Importance of Being Unistochastic
Ingemar Bengtsson
A bistochastic matrix is a square matrix with positive entries such that rows and columns sum to unity. A unistochastic matrix is a bistochastic matrix whose matrix elements are th…
On duality between quantum maps and quantum states
Karol Zyczkowski, Ingemar Bengtsson
We investigate the space of quantum operations, as well as the larger space of maps which are positive, but not completely positive. A constructive criterion for decomposability is…