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Linear Dependencies in Weyl-Heisenberg Orbits
Hoan Bui Dang, Kate Blanchfield, Ingemar Bengtsson +1
Five years ago, Lane Hughston showed that some of the symmetric informationally complete positive operator valued measures (SICs) in dimension 3 coincide with the Hesse configurati…
Families of complex Hadamard matrices
Nuno Barros e Sa, Ingemar Bengtsson
What is the dimension of a smooth family of complex Hadamard matrices including the Fourier matrix? We address this problem with a power series expansion. Studying all dimensions u…
From SICs and MUBs to Eddington
Ingemar Bengtsson
This is a survey of some very old knowledge about Mutually Unbiased Bases (MUB) and Symmetric Informationally Complete POVMs (SIC). In prime dimensions the former are closely tied…
All Mutually Unbiased Bases in Dimensions Two to Five
Stephen Brierley, Stefan Weigert, Ingemar Bengtsson
All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a thr…