leakage.tex

Paper VII: Quantum Seed Calculus

leakage.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 \draw[black!13,line width=.25pt] (0.8,0.7) -- (0.8,3.95);
4 \draw[] (0.8,0.64) -- (0.8,0.76);
5 \node[font=\small,align=center,font=\scriptsize] at (0.8,0.44) {0};
6 \draw[black!13,line width=.25pt] (2.5,0.7) -- (2.5,3.95);
7 \draw[] (2.5,0.64) -- (2.5,0.76);
8 \node[font=\small,align=center,font=\scriptsize] at (2.5,0.44) {0.5};
9 \draw[black!13,line width=.25pt] (4.2,0.7) -- (4.2,3.95);
10 \draw[] (4.2,0.64) -- (4.2,0.76);
11 \node[font=\small,align=center,font=\scriptsize] at (4.2,0.44) {1};
12 \draw[black!13,line width=.25pt] (5.9,0.7) -- (5.9,3.95);
13 \draw[] (5.9,0.64) -- (5.9,0.76);
14 \node[font=\small,align=center,font=\scriptsize] at (5.9,0.44) {1.5};
15 \draw[black!13,line width=.25pt] (7.6,0.7) -- (7.6,3.95);
16 \draw[] (7.6,0.64) -- (7.6,0.76);
17 \node[font=\small,align=center,font=\scriptsize] at (7.6,0.44) {2};
18 \draw[black!13,line width=.25pt] (9.3,0.7) -- (9.3,3.95);
19 \draw[] (9.3,0.64) -- (9.3,0.76);
20 \node[font=\small,align=center,font=\scriptsize] at (9.3,0.44) {2.5};
21 \draw[black!13,line width=.25pt] (0.8,0.7) -- (9.3,0.7);
22 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.64,0.7) {0};
23 \draw[black!13,line width=.25pt] (0.8,2.113043) -- (9.3,2.113043);
24 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.64,2.113043) {0.5};
25 \draw[black!13,line width=.25pt] (0.8,3.526087) -- (9.3,3.526087);
26 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.64,3.526087) {1};
27 \draw[->,line width=.6pt] (0.8,0.7) -- (9.42,0.7);
28 \draw[->,line width=.6pt] (0.8,0.7) -- (0.8,4.07);
29 \node[font=\small,align=center,font=\scriptsize] at (5.05,0.15) {$u=|\varepsilon t|$};
30 \node[font=\small,align=center,anchor=west,font=\scriptsize] at (0.8,4.35) {leakage amplitude};
31 \draw[line width=1.1pt] plot coordinates {(0.8,0.7) (0.885,0.770645) (0.97,0.841245) (1.055,0.911758) (1.14,0.982138) (1.225,1.052342) (1.31,1.122325) (1.395,1.192045) (1.48,1.261457) (1.565,1.330518) (1.65,1.399185) (1.735,1.467415) (1.82,1.535166) (1.905,1.602394) (1.99,1.669059) (2.075,1.735118) (2.16,1.80053) (2.245,1.865254) (2.33,1.92925) (2.415,1.992478) (2.5,2.054898) (2.585,2.116472) (2.67,2.17716) (2.755,2.236924) (2.84,2.295729) (2.925,2.353536) (3.01,2.410309) (3.095,2.466014) (3.18,2.520615) (3.265,2.574078) (3.35,2.62637) (3.435,2.677458) (3.52,2.727311) (3.605,2.775896) (3.69,2.823184) (3.775,2.869145) (3.86,2.91375) (3.945,2.956972) (4.03,2.998783) (4.115,3.039158) (4.2,3.07807) (4.285,3.115497) (4.37,3.151413) (4.455,3.185798) (4.54,3.218629) (4.625,3.249887) (4.71,3.27955) (4.795,3.307602) (4.88,3.334024) (4.965,3.358799) (5.05,3.381913) (5.135,3.403351) (5.22,3.423099) (5.305,3.441146) (5.39,3.457479) (5.475,3.472089) (5.56,3.484967) (5.645,3.496104) (5.73,3.505493) (5.815,3.513129) (5.9,3.519008) (5.985,3.523124) (6.07,3.525476) (6.155,3.526062) (6.24,3.524882) (6.325,3.521936) (6.41,3.517227) (6.495,3.510757) (6.58,3.502531) (6.665,3.492553) (6.75,3.48083) (6.835,3.467369) (6.92,3.452178) (7.005,3.435267) (7.09,3.416647) (7.175,3.396329) (7.26,3.374326) (7.345,3.350652) (7.43,3.325321) (7.515,3.298349) (7.6,3.269754) (7.685,3.239552) (7.77,3.207763) (7.855,3.174407) (7.94,3.139505) (8.025,3.103078) (8.11,3.065149) (8.195,3.025742) (8.28,2.984881) (8.365,2.942593) (8.45,2.898903) (8.535,2.853838) (8.62,2.807428) (8.705,2.7597) (8.79,2.710686) (8.875,2.660414) (8.96,2.608918) (9.045,2.556228) (9.13,2.502379) (9.215,2.447402) (9.3,2.391334)};
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33 \node[font=\small,align=center] at (11.7,3.95) {$H=\varepsilon X$};
34 \node[font=\small,align=center,font=\small] at (11.7,2.95) {solid: $|\sin u|$\\dashed: $\min(1,u)$};
35 \node[font=\small,align=center,font=\small] at (11.7,1.5) {Probability is $\sin^2u$,\\not $|\sin u|$.};
36 \end{tikzpicture}

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