Submit progress

on Open Quantum Problem 23: SIC-POVMs

The statement

hasSICPOVM_56

Benchmark open subproblem: existence of a SIC-POVM in dimension $56$ .

hasSICPOVM_58

Benchmark open subproblem: existence of a SIC-POVM in dimension $58$ .

hasSICPOVM_59

Benchmark open subproblem: existence of a SIC-POVM in dimension $59$ .

hasSICPOVM_60

Benchmark open subproblem: existence of a SIC-POVM in dimension $60$ .

hasSICPOVM_64

Benchmark open subproblem: existence of a SIC-POVM in dimension $64$ .

hasSICPOVM_68

Benchmark open subproblem: existence of a SIC-POVM in dimension $68$ .

hasSICPOVM_69

Benchmark open subproblem: existence of a SIC-POVM in dimension $69$ .

hasSICPOVM_70

Benchmark open subproblem: existence of a SIC-POVM in dimension $70$ .

hasSICPOVM_71

Benchmark open subproblem: existence of a SIC-POVM in dimension $71$ .

hasSICPOVM_72

Benchmark open subproblem: existence of a SIC-POVM in dimension $72$ .

hasSICPOVM_75

Benchmark open subproblem: existence of a SIC-POVM in dimension $75$ .

sicPOVMs

Do SIC-POVMs exist in every finite dimension?

What gets accepted

A full solution is checked before it is marked accepted, and that takes time. Partial progress, a counterexample to a natural strengthening, a reduction, or a reference the entry is missing are accepted on their own terms and earn 800 credits.

Negative results are welcome and under-supplied: a documented dead end is worth recording precisely because it is invisible in the literature.