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Lars Brink and SIC_POVMs
Ingemar Bengtsson
The notion of SIC-POVMs comes from quantum information theory, and they were not on the horizon when I was Lars Brink's student in the early 80s. In the summer of 2022 I told Lars…
Dimension towers of SICs. II. Some constructions
Ingemar Bengtsson, Basudha Srivastava
A SIC is a maximal equiangular tight frame in a finite dimensional Hilbert space. Given a SIC in dimension , there is good evidence that there always exists an aligned SIC in di…
SIC-POVMs from Stark units: Prime dimensions n^2+3
Marcus Appleby, Ingemar Bengtsson, Markus Grassl +2
We propose a recipe for constructing a SIC fiducial vector in complex Hilbert space of dimension of the form , focussing on prime dimensions . Such structures are sho…
Compounds of symmetric informationally complete measurements and their application in quantum key distribution
Armin Tavakoli, Ingemar Bengtsson, Nicolas Gisin +1
Symmetric informationally complete measurements (SICs) are elegant, celebrated and broadly useful discrete structures in Hilbert space. We introduce a more sophisticated discrete s…
SICs: Some explanations
Ingemar Bengtsson
The problem of constructing maximal equiangular tight frames or SICs was raised by Zauner in 1998. Four years ago it was realized that the problem is closely connected to a major o…
Algebraic units, anti-unitary symmetries, and a small catalogue of SICs
Ingemar Bengtsson
In complex vector spaces maximal sets of equiangular lines, known as SICs, are related to real quadratic number fields in a dimension dependent way. If the dimension is of the form…