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quant-ph2026
How Stark units enter SIC overlaps
Ingemar Bengtsson, Gary McConnell
It has been observed that the mutual scalar products of the vectors in a SIC-POVM are given by algebraic units, and at least in some cases by square roots of Stark units. The full…
quant-ph2025
A Conjecture on Almost Flat SIC-POVMs
Ingemar Bengtsson, Markus Grassl
A well supported conjecture states that SIC-POVMs -- maximal sets of complex equiangular lines -- with anti-unitary symmetry give rise to an identity expressing some of its overlap…
quant-ph2024★ 2 cited
SIC-POVMs from Stark Units: Dimensions n^2+3=4p, p prime
Ingemar Bengtsson, Markus Grassl, Gary McConnell
The existence problem for maximal sets of equiangular lines (or SICs) in complex Hilbert space of dimension remains largely open. In a previous publication (arXiv:2112.05552) w…