Figure 2

(a) Average QFI and its optimal p vs. r with N = 10, θ = π/2. (1) F _MWMPPF (red full line) is the maximal average QFI of WMPPF: F _WMPPF by choosing the optimal p value as r varies; (2) the optimal p value (celeste dotted line) for F _MWMPPF according to r can be drawn at the same parameters with the coordinate scale on the right edge of the figure; (3) F _DN (blue dashed line) for DN case. (b) Average fidelity and its optimal p and probability vs. r with N = 10, θ = π/2. (1) Fid _MWMPPF (asterisk line): the maximal average fidelity of WMPPF; (2) the optimal p value (celeste dotted line) for Fid _MWMPPF can be drawn at the same parameters with the coordinate scale on the right edge of the figure; (3) Fid _MWQMR (purple full line), we provide its p ₁ = p _r  = 0.2 as an example and its probability is: (4) P _WMQMR (magenta dashed line) with the same parameters; (5) Fid _DN (blue dashed line).