logical_error.tex

Paper VII: Quantum Seed Calculus

logical_error.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 (1.76,4.15) {$V^*Z_1V$};
4 \path[draw=black!30,fill=black!8] (0.7,2.39) rectangle (1.76,3.45);
5 \node[font=\small,align=center,font=\small] at (1.23,2.92) {$1$};
6 \path[draw=black!30,fill=white] (1.76,2.39) rectangle (2.82,3.45);
7 \node[font=\small,align=center,font=\small] at (2.29,2.92) {$0$};
8 \path[draw=black!30,fill=white] (0.7,1.33) rectangle (1.76,2.39);
9 \node[font=\small,align=center,font=\small] at (1.23,1.86) {$0$};
10 \path[draw=black!30,fill=black!8] (1.76,1.33) rectangle (2.82,2.39);
11 \node[font=\small,align=center,font=\small] at (2.29,1.86) {$-1$};
12 \node[font=\small,align=center] at (7,3.65) {before: $(3,4)/5$};
13 \node[font=\small,align=center] at (7,2.45) {after: $(3,-4)/5$};
14 \node[font=\small,align=center,font=\small] at (7,1.2) {same code support\\different relative phase};
15 \node[font=\small,align=center,font=\small] at (11.86,4.15) {Required scalar form $cI$};
16 \path[draw=black!30,fill=black!8] (10.8,2.39) rectangle (11.86,3.45);
17 \node[font=\small,align=center,font=\small] at (11.33,2.92) {$c$};
18 \path[draw=black!30,fill=white] (11.86,2.39) rectangle (12.92,3.45);
19 \node[font=\small,align=center,font=\small] at (12.39,2.92) {$0$};
20 \path[draw=black!30,fill=white] (10.8,1.33) rectangle (11.86,2.39);
21 \node[font=\small,align=center,font=\small] at (11.33,1.86) {$0$};
22 \path[draw=black!30,fill=black!8] (11.86,1.33) rectangle (12.92,2.39);
23 \node[font=\small,align=center,font=\small] at (12.39,1.86) {$c$};
24 \node[font=\small,align=center,font=\small] at (7,0.15) {A trace of zero does not make $\diag(1,-1)$ the zero operator.};
25 \end{tikzpicture}

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