Paper VII: Quantum Seed Calculus

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.15) rectangle (12.5,3.3);
3 
4 \node[draw,fill=black!8,align=center] at (2.8,1.9) {$A_n=P_n/n$\\$n$ equal eigenvalues $1/n$};
5 \node[draw,fill=black!20,align=center] at (8.8,1.9) {$\|A_n\|=1/n\to0$\\$\|A_n\|_1=\operatorname{Tr}A_n=1$};
6 \draw[->] (4.7,1.9)--(6.7,1.9);\node[font=\small] at (6,0.45) {positive trace-class control: norm convergence alone does not preserve a trace};
7 \end{tikzpicture}

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