% Editable vector line art. Risk levels copied from the certified main text. % Coordinates are display layout, not a new calculation or numerical search. \begin{tikzpicture}[font=\footnotesize,>=stealth,line cap=round] \definecolor{povmblue}{HTML}{0072B2} \definecolor{pvmorange}{HTML}{D55E00} \path[use as bounding box] (-.15,-.5) rectangle (8.45,3.85); \node[anchor=west] at (-.1,3.62) {\textbf{(a)} NH-equality effects}; \begin{scope}[shift={(.42,.16)},x=1.2cm,y=1.2cm] \fill[gray!15] (0,0) -- (1.8,.8) -- (1.8,2.05) -- (0,2.05) -- cycle; \draw[->,gray] (0,0) -- (1.95,0) node[below,black] {\(E_{33}\)}; \draw[->,gray] (0,0) -- (0,2.2) node[left,black] {\(E_{22}\)}; \draw[gray!70,densely dotted] (1,.444) -- (1,1) -- (0,1); \draw[gray] (1,0) -- (1,.05); \node[below] at (1,0) {\(1\)}; \node[left] at (0,1) {\(1\)}; \draw[povmblue,line width=1.3pt] (0,0) -- (1.8,.8) node[pos=.6,below,sloped,inner sep=2pt] {\(9E_{22}=4E_{33}\)}; \draw[->,line width=.8pt] (.45,.2) -- ++(-.223,.502) node[anchor=south west,inner sep=1pt] {\(W\)}; \draw[gray] (.45,.2) ++(.0985,.0438) -- ++(-.0438,.0985) -- ++(-.0985,-.0438); \draw[fill=white] (.92,1) -- (1,1.08) -- (1.08,1) -- (1,.92) -- cycle; \node[anchor=west] at (1.08,1.02) {\(I_4\)}; \node[anchor=west] at (.06,1.72) {\(\mathrm{Tr}\,WE>0\)}; \end{scope} \node[anchor=west] at (3.95,3.62) {\textbf{(b)} Bayes risk \(\mathcal L\)}; \begin{scope}[shift={(4.98,.14)}] \def\ys#1{(#1-94.22)*8.4} \draw[->,gray] (0,0) -- (0,3.0); \fill[white] (-.07,.07) rectangle (.07,.15); \draw[gray] (-.08,.04) -- (.08,.1) (-.08,.12) -- (.08,.18); \foreach \v/\l in {94.25/94.25,94.40/94.40,94.55/94.55} \draw[gray] (-.04,{\ys{\v}}) -- (.04,{\ys{\v}}) node[left=2pt,black] {\(\l\)}; \draw[gray!85,densely dashed,line width=.9pt] (.08,{\ys{94.2499985}}) -- (2.95,{\ys{94.2499985}}); \node[anchor=north west,inner sep=1pt] at (.18,{\ys{94.2499985}-.04}) {NH bound}; \draw[povmblue,line width=1.3pt] (.08,{\ys{94.2859248}}) -- (2.95,{\ys{94.2859248}}); \node[anchor=south west,povmblue,inner sep=1pt] at (.08,{\ys{94.2859248}+.05}) {POVM: 7 outcomes}; \draw[pvmorange,line width=1.3pt] (.08,{\ys{94.5557442}}) -- (2.95,{\ys{94.5557442}}); \node[anchor=north west,pvmorange,inner sep=1pt] at (.08,{\ys{94.5557442}-.06}) {PVM: 4 outcomes}; \draw[<->,line width=.6pt] (3.15,{\ys{94.2859248}+.03}) -- (3.15,{\ys{94.5557442}-.03}) node[midway,left,inner sep=2pt] {\(\approx0.270\)}; \draw[<->,line width=.6pt] (3.15,{\ys{94.2499985}+.02}) -- (3.15,{\ys{94.2859248}-.02}); \node[anchor=north east,inner sep=1pt] at (3.3,{\ys{94.2499985}-.04}) {\(\Gamma_k\approx0.036\)}; \end{scope} \end{tikzpicture}