local_orbits.tex

Paper VII: Quantum Seed Calculus

local_orbits.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,font=\small] at (1.85,4.25) {Product seed matrix};
4 \path[draw=black!30,fill=black!8] (0.8,2.5) rectangle (1.85,3.55);
5 \node[font=\small,align=center,font=\small] at (1.325,3.025) {$1$};
6 \path[draw=black!30,fill=white] (1.85,2.5) rectangle (2.9,3.55);
7 \node[font=\small,align=center,font=\small] at (2.375,3.025) {$0$};
8 \path[draw=black!30,fill=white] (0.8,1.45) rectangle (1.85,2.5);
9 \node[font=\small,align=center,font=\small] at (1.325,1.975) {$0$};
10 \path[draw=black!30,fill=white] (1.85,1.45) rectangle (2.9,2.5);
11 \node[font=\small,align=center,font=\small] at (2.375,1.975) {$0$};
12 \node[font=\small,align=center,font=\small] at (8.65,4.25) {Bell seed matrix $\sqrt2C$};
13 \path[draw=black!30,fill=black!8] (7.6,2.5) rectangle (8.65,3.55);
14 \node[font=\small,align=center,font=\small] at (8.125,3.025) {$1$};
15 \path[draw=black!30,fill=white] (8.65,2.5) rectangle (9.7,3.55);
16 \node[font=\small,align=center,font=\small] at (9.175,3.025) {$0$};
17 \path[draw=black!30,fill=white] (7.6,1.45) rectangle (8.65,2.5);
18 \node[font=\small,align=center,font=\small] at (8.125,1.975) {$0$};
19 \path[draw=black!30,fill=black!8] (8.65,1.45) rectangle (9.7,2.5);
20 \node[font=\small,align=center,font=\small] at (9.175,1.975) {$1$};
21 \node[font=\small,align=center,font=\small] at (4.75,2.5) {row rank $1$\\orbit dimension $2$};
22 \node[font=\small,align=center,font=\small] at (11.4,2.5) {row rank $2$\\orbit dimension $4$};
23 \node[font=\small,align=center,font=\small] at (7,0.6) {$A$ acts on the left. It cannot invent a new direction in the row space.};
24 \end{tikzpicture}

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