Fig. 7
From: Uncertainty equality with quantum memory and its experimental verification

a The original results without rescaling of verifying the measurement uncertainty relation. The bars are plotted from the infidelity of readout process. b The directly measured purities. The hollow dots are the expected purities. The blue asterisks are the directly measured purities and the red ones are the rescaled results. The left five figures correspond to purities when the initial bipartite state is ρAB(α, 1) where α = 0, π/8, π/4, 3π/8, π/2 from top to bottom. And the right five figures correspond to ρAB(π/2, x) where x = 0, 0.25, 0.5, 0.75, 1 from top to bottom. In each figure, from left to right, they are \({\mathrm{Tr}}(\rho _{AB}^2)\), \({\mathrm{Tr}}(\rho _{xB}^2)\), \({\mathrm{Tr}}(\rho _{yB}^2)\), \({\mathrm{Tr}}(\rho _{zB}^2)\), \({\mathrm{Tr}}(\rho _B^2)\), \({\mathrm{Tr}}[(\rho _{B|x})^2]\), \({\mathrm{Tr}}[(\rho _{B|y})^2]\), \({\mathrm{Tr}}[(\rho _{B|z})^2]\), where ρθB (θ = x, y, z) are the resulting state after the complete MUB measurements on subsystem A, and ρB|θ = TrA(ρθB)