Fig. 3: Lorenz curves for ρ(λ, θ, ϕ) with Schmidt rank 1(θ = 0, ϕ = π/2), 2(θ = π/4, ϕ = π/2) and \(3(\theta =\phi =\pi /3,\theta =\pi /4,\phi =\arctan \sqrt{2})\) for MUBs and non-MUBs cases.

The black solid line represents the majorization bound \(\vec{\omega }({\mathcal{B}})\). The shadow region above the majorization bound curve indicates the steerable region detected by Eq. (26). a Steering of state ρ(λ, θ, ϕ) with MUBs. b Steering of state ρ(λ, θ, ϕ) with non-MUBs.