A three-stage adaptive method using locally informationally complete Fisher-symmetric measurements estimates pure states with O(d/N) error scaling and infidelity close to the Gill-Massar lower bound using 7d-3 outcomes.
We can see that the coefficients are well approximated by α ≈ 0.66, β = 1 and γ = 1 .84 at the first stage, and α ≈ 1.1, β ≈ 1 and γ ≈ 1.15 at the second stage
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Near-optimal pure state estimation with adaptive Fisher-symmetric measurements
A three-stage adaptive method using locally informationally complete Fisher-symmetric measurements estimates pure states with O(d/N) error scaling and infidelity close to the Gill-Massar lower bound using 7d-3 outcomes.