SICs: Some explanations

Abstract

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 open problem in number theory. We discuss why such a connection was perhaps to be expected, and give a simplified sketch of some developments that have taken place in the past four years. The aim, so far unfulfilled, is to prove existence of SICs in an infinite sequence of dimensions.

20 pages, 2 figures. Based on talks in Växjö and at Jerzy Lewandowski's birthday

References in corpus (15)

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Cited by in corpus (6)

• QBism Is Not So Simply Dismissed
• Born's rule as a quantum extension of Bayesian coherence
• What are the minimal conditions required to define a SIC POVM?
• Bipartite quantum measurements with optimal single-sided distinguishability
• p-adic Welch Bounds and p-adic Zauner Conjecture
• Dimension towers of SICs. II. Some constructions