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,-.6) rectangle (14,4.8);
3 \path[draw,fill=white] (1.4,2.3) circle (0.27);
4 \node[font=\small,align=center] at (1.4,2.3) {$0$};
5 \path[draw,fill=white] (6.6,3.6) circle (0.27);
6 \node[font=\small,align=center] at (6.6,3.6) {$0$};
7 \path[draw,fill=white] (6.6,1) circle (0.27);
8 \node[font=\small,align=center] at (6.6,1) {$1$};
9 \path[draw,fill=white] (12.3,2.3) circle (0.27);
10 \node[font=\small,align=center] at (12.3,2.3) {$1$};
11 \draw[->,line width=.8pt] (1.7,2.4) -- (6.25,3.5);
12 \node[font=\small,align=center,font=\small,fill=white,inner sep=1pt] at (3.975,3.3) {$1/\sqrt2$};
13 \draw[->,line width=.8pt] (1.7,2.2) -- (6.25,1.1);
14 \node[font=\small,align=center,font=\small,fill=white,inner sep=1pt] at (3.975,1.3) {$1/\sqrt2$};
15 \draw[->,line width=.8pt] (6.95,3.5) -- (12,2.4);
16 \node[font=\small,align=center,font=\small,fill=white,inner sep=1pt] at (9.475,3.3) {$1/\sqrt2$};
17 \draw[->,line width=.8pt] (6.95,1.1) -- (12,2.2);
18 \node[font=\small,align=center,font=\small,fill=white,inner sep=1pt] at (9.475,1.3) {$-1/\sqrt2$};
19 \node[font=\small,align=center,font=\scriptsize] at (6.7,4.6) {Two actual Hadamard paths, not classical alternatives};
20 \node[font=\small,align=center,font=\small] at (6.8,-0.18) {$\text{amplitude}=1/2-1/2=0\quad\ne\quad\text{sum of path probabilities}=1/2$};
21 \end{tikzpicture}

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