parity.tex

Paper VII: Quantum Seed Calculus

parity.tex

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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,-.6) rectangle (14,4.8);
3 \node[font=\small,align=center,anchor=west,font=\small] at (0.5,3.1) {even};
4 \path[draw,fill=black!5] (2.22,2.66) rectangle (3.78,3.54);
5 \node[font=\small,align=center] at (3,3.1) {$\ket{000}$};
6 \path[draw,fill=black!5] (5.22,2.66) rectangle (6.78,3.54);
7 \node[font=\small,align=center] at (6,3.1) {$\ket{011}$};
8 \path[draw,fill=black!5] (8.22,2.66) rectangle (9.78,3.54);
9 \node[font=\small,align=center] at (9,3.1) {$\ket{101}$};
10 \path[draw,fill=black!5] (11.22,2.66) rectangle (12.78,3.54);
11 \node[font=\small,align=center] at (12,3.1) {$\ket{110}$};
12 \node[font=\small,align=center,anchor=west,font=\small] at (0.5,1.05) {odd};
13 \path[draw,fill=black!17] (2.22,0.61) rectangle (3.78,1.49);
14 \node[font=\small,align=center] at (3,1.05) {$\ket{001}$};
15 \path[draw,fill=black!17] (5.22,0.61) rectangle (6.78,1.49);
16 \node[font=\small,align=center] at (6,1.05) {$\ket{010}$};
17 \path[draw,fill=black!17] (8.22,0.61) rectangle (9.78,1.49);
18 \node[font=\small,align=center] at (9,1.05) {$\ket{100}$};
19 \path[draw,fill=black!17] (11.22,0.61) rectangle (12.78,1.49);
20 \node[font=\small,align=center] at (12,1.05) {$\ket{111}$};
21 \node[font=\small,align=center,font=\scriptsize] at (7,4.55) {Each coarse projector has rank four. All eight fine projectors have rank one.};
22 \end{tikzpicture}

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