figures + new section
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figures/affine_state_space.pdf
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figures/affine_state_space.pdf
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figures/affine_state_space.tex
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figures/affine_state_space.tex
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\documentclass[tikz]{standalone}
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\usepackage{tkz-euclide}
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\usepackage{physics}
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\begin{document}
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\begin{tikzpicture}[scale=4]
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\tkzInit[xmax=1,ymax=1,ymin=-0.1,xmin=-0.1]
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\tkzDrawX[label={}] \tkzDrawY[label={}]
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\tkzDefPoint(0,0){orig}
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\tkzDefPoint(1,0){b0}
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\tkzDefPoint(0,1){b1}
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\tkzDefPoint(0.3,0){p0}
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\tkzDefPoint(0,0.7){p1}
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\tkzDefPoint(0.3,0.7){b}
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\tkzLabelPoint(b0){$\mathbf{0}$}
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\tkzLabelPoint[left](b1){$\mathbf{1}$}
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\tkzDrawLine[thin,gray,add = 0 and 1](orig,b)
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\tkzDrawSegment[thick](b0,b1)
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\tkzLabelSegment[right](b0,b1){$\mathbf{B}^1$}
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\tkzDrawSegment[-stealth](orig,b)
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\tkzLabelSegment(orig,b){$\mathbf{b}$}
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\tkzDrawSegment[dashed](p0,b)
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\tkzDrawSegment[dashed](p1,b)
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\tkzLabelSegment[right](p0,b){$p_0$}
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\tkzLabelSegment(p1,b){$p_1$}
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\tkzDrawArc(orig,b0)(b1)
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\tkzDrawPoints(b0,b1,b)
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\end{tikzpicture}
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\end{document}
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figures/amplitudes_to_affine.pdf
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figures/amplitudes_to_affine.pdf
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figures/amplitudes_to_affine.tex
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figures/amplitudes_to_affine.tex
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\documentclass[tikz]{standalone}
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\usepackage{tkz-euclide}
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\usepackage{physics}
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\begin{document}
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\begin{tikzpicture}[scale=4]
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\tkzInit[xmax=1,ymax=1,ymin=-1,xmin=-1]
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\tkzDrawX[right space=0.2, left space=0.2,label={}]
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\tkzDrawY[up space=0.2, down space=0.2, label={}]
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\tkzDefPoint(0,0){orig}
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\tkzDefPoint(1,0){b0}
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\tkzDefPoint(0,1){b1}
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\tkzDefPoint(0.3,0){p0}
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\tkzDefPoint(0,0.7){p1}
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\tkzDefPoint(0.3,0.7){b}
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\tkzDefPoint(0.5477,-0.8367){kb}
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\tkzDefPoint(0.5477,0){a0}
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\tkzDefPoint(0,-0.8367){a1}
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\tkzDrawCircle[thick,gray](orig,b0)
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\tkzLabelPoint(b0){$\ket{0}$}
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\tkzLabelPoint[left](b1){$\ket{1}$}
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\tkzDrawSegment[thick,gray](b0,b1)
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\tkzLabelSegment[right,gray](b0,b1){$\mathbf{B}^1$}
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\tkzDrawSegment[-stealth](orig,kb)
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\tkzDrawSegment[dashed](a0,kb)
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\tkzLabelPoint(a0){$\alpha_0$}
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\tkzDrawSegment[dashed](a1,kb)
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\tkzLabelPoint(a1){$\alpha_1$}
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\tkzLabelSegment(orig,kb){$\ket{b}$}
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\tkzDrawSegment[-stealth](orig,b)
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\tkzLabelSegment(orig,b){$\mathbf{b}$}
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\tkzDrawSegment[dashed](p0,b)
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\tkzDrawSegment[dashed](p1,b)
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\tkzLabelSegment[right](p0,b){$\alpha_0^2$}
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\tkzLabelSegment[below](p1,b){$\alpha_1^2$}
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\tkzDrawPoints(b0,b1,b,kb)
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\end{tikzpicture}
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\end{document}
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