damping.tex

Paper VII: Quantum Seed Calculus

damping.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 (2.42,4.7) {Superoperator on matrix entries};
4 \path[draw=black!30,fill=black!8] (0.7,3.14) rectangle (1.56,4);
5 \node[font=\small,align=center,font=\small] at (1.13,3.57) {$1$};
6 \path[draw=black!30,fill=white] (1.56,3.14) rectangle (2.42,4);
7 \node[font=\small,align=center,font=\small] at (1.99,3.57) {$0$};
8 \path[draw=black!30,fill=white] (2.42,3.14) rectangle (3.28,4);
9 \node[font=\small,align=center,font=\small] at (2.85,3.57) {$0$};
10 \path[draw=black!30,fill=black!8] (3.28,3.14) rectangle (4.14,4);
11 \node[font=\small,align=center,font=\small] at (3.71,3.57) {$\frac{9}{25}$};
12 \path[draw=black!30,fill=white] (0.7,2.28) rectangle (1.56,3.14);
13 \node[font=\small,align=center,font=\small] at (1.13,2.71) {$0$};
14 \path[draw=black!30,fill=black!8] (1.56,2.28) rectangle (2.42,3.14);
15 \node[font=\small,align=center,font=\small] at (1.99,2.71) {$\frac{4}{5}$};
16 \path[draw=black!30,fill=white] (2.42,2.28) rectangle (3.28,3.14);
17 \node[font=\small,align=center,font=\small] at (2.85,2.71) {$0$};
18 \path[draw=black!30,fill=white] (3.28,2.28) rectangle (4.14,3.14);
19 \node[font=\small,align=center,font=\small] at (3.71,2.71) {$0$};
20 \path[draw=black!30,fill=white] (0.7,1.42) rectangle (1.56,2.28);
21 \node[font=\small,align=center,font=\small] at (1.13,1.85) {$0$};
22 \path[draw=black!30,fill=white] (1.56,1.42) rectangle (2.42,2.28);
23 \node[font=\small,align=center,font=\small] at (1.99,1.85) {$0$};
24 \path[draw=black!30,fill=black!8] (2.42,1.42) rectangle (3.28,2.28);
25 \node[font=\small,align=center,font=\small] at (2.85,1.85) {$\frac{4}{5}$};
26 \path[draw=black!30,fill=white] (3.28,1.42) rectangle (4.14,2.28);
27 \node[font=\small,align=center,font=\small] at (3.71,1.85) {$0$};
28 \path[draw=black!30,fill=white] (0.7,0.56) rectangle (1.56,1.42);
29 \node[font=\small,align=center,font=\small] at (1.13,0.99) {$0$};
30 \path[draw=black!30,fill=white] (1.56,0.56) rectangle (2.42,1.42);
31 \node[font=\small,align=center,font=\small] at (1.99,0.99) {$0$};
32 \path[draw=black!30,fill=white] (2.42,0.56) rectangle (3.28,1.42);
33 \node[font=\small,align=center,font=\small] at (2.85,0.99) {$0$};
34 \path[draw=black!30,fill=black!8] (3.28,0.56) rectangle (4.14,1.42);
35 \node[font=\small,align=center,font=\small] at (3.71,0.99) {$\frac{16}{25}$};
36 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.55,3.57) {00};
37 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.55,2.71) {01};
38 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.55,1.85) {10};
39 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.55,0.99) {11};
40 \node[font=\small,align=center,font=\scriptsize] at (1.13,4.23) {00};
41 \node[font=\small,align=center,font=\scriptsize] at (1.99,4.23) {01};
42 \node[font=\small,align=center,font=\scriptsize] at (2.85,4.23) {10};
43 \node[font=\small,align=center,font=\scriptsize] at (3.71,4.23) {11};
44 \node[font=\small,align=center,font=\small] at (10.37,4.2) {Output from $\ket{+}$};
45 \path[draw=black!30,fill=black!8] (9.3,2.43) rectangle (10.37,3.5);
46 \node[font=\small,align=center,font=\small] at (9.835,2.965) {$\frac{17}{25}$};
47 \path[draw=black!30,fill=black!8] (10.37,2.43) rectangle (11.44,3.5);
48 \node[font=\small,align=center,font=\small] at (10.905,2.965) {$\frac{2}{5}$};
49 \path[draw=black!30,fill=black!8] (9.3,1.36) rectangle (10.37,2.43);
50 \node[font=\small,align=center,font=\small] at (9.835,1.895) {$\frac{2}{5}$};
51 \path[draw=black!30,fill=black!8] (10.37,1.36) rectangle (11.44,2.43);
52 \node[font=\small,align=center,font=\small] at (10.905,1.895) {$\frac{8}{25}$};
53 \node[font=\small,align=center] at (7,2.65) {$\gamma=9/25$};
54 \node[font=\small,align=center,font=\small] at (7,1.5) {coherence factor\\$4/5$};
55 \node[font=\small,align=center,font=\small] at (10.45,0.35) {$\Tr\rho=1,\quad\det\rho=36/625>0$};
56 \end{tikzpicture}

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