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!7,align=center] (a) at (2,2.2) {$\CC^n$\\$H_n=\operatorname{diag}(0,1,1/2,\ldots)$};
5 \node[draw,fill=black!7,align=center] (b) at (9.5,2.2) {$\CC^{n+1}$\\old energies retained};\draw[->] (a)--node[above] {$R_n$}(b);
6 \node[draw,fill=black!20,align=center] at (6,0.6) {fixed $\CC^2$: $H_n=\operatorname{diag}(0,1+2^{-n})$\\tail $\|H_n-H\|=2^{-n}$};
7 \end{tikzpicture}

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