Differences

This shows you the differences between two versions of the page.

--- meta:scratch [August 13, 2026 at 18:50] – Ivan Janevski
+++ meta:scratch [August 13, 2026 at 18:54] (current) – Ivan Janevski
@@ Line 1: / Line 1: @@
-\documentclass[tikz,border=5pt]{standalone}
+\documentclass{standalone}
-\usepackage{amsmath}
 \usepackage{tikz}
-\usepackage{tikz-3dplot}
+\usepackage{mathtools}
 \usetikzlibrary{arrows.meta}
 \begin{document}
-\tdplotsetmaincoords{70}{110}
+\begin{tikzpicture}[line cap=round, line join=round, >=Triangle]
-\begin{tikzpicture}[tdplot_main_coords,scale=2.5,>=Stealth]
+  \clip(-2.19,-2.49) rectangle (2.66,2.58);
-    % Sphere
+  \draw [shift={(0,0)}, lightgray, fill, fill opacity=0.1] (0,0) -- (56.7:0.4) arc (56.7:90.:0.4) -- cycle;
-    \draw[tdplot_screen_coords] (0,0) circle (1);
+  \draw [shift={(0,0)}, lightgray, fill, fill opacity=0.1] (0,0) -- (-135.7:0.4) arc (-135.7:-33.2:0.4) -- cycle;
+  \draw(0,0) circle (2cm);
-    % Equator
+  \draw [rotate around={0.:(0.,0.)},dash pattern=on 3pt off 3pt] (0,0) ellipse (2cm and 0.9cm);
-    \tdplotdrawarc[dashed]{(0,0,0)}{1}{0}{180}{}{}
+  \draw (0,0)-- (0.70,1.07);
-    \tdplotdrawarc{(0,0,0)}{1}{180}{360}{}{}
+  \draw [->] (0,0) -- (0,2);
+  \draw [->] (0,0) -- (-0.81,-0.79);
-    % Axes
+  \draw [->] (0,0) -- (2,0);
-    \draw[->] (0,0,0) -- (1.3,0,0) node[anchor=north east] {$x$};
+  \draw [dotted] (0.7,1)-- (0.7,-0.46);
-    \draw[->] (0,0,0) -- (0,1.3,0) node[anchor=north west] {$y$};
+  \draw [dotted] (0,0)-- (0.7,-0.46);
-    \draw[->] (0,0,0) -- (0,0,1.3) node[above] {$\lvert0\rangle$};
+  \draw (-0.08,-0.3) node[anchor=north west] {$\varphi$};
-    \draw[->] (0,0,0) -- (0,0,-1.3) node[below] {$\lvert1\rangle$};
+  \draw (0.01,0.9) node[anchor=north west] {$\theta$};
+  \draw (-1.01,-0.72) node[anchor=north west] {$\mathbf {\hat{x}}$};
-    % State
+  \draw (2.07,0.3) node[anchor=north west] {$\mathbf {\hat{y}}$};
-    \def\theta{55}
+  \draw (-0.5,2.6) node[anchor=north west] {$\mathbf {\hat{z}=|0\rangle}$};
-    \def\phi{40}
+  \draw (-0.4,-2) node[anchor=north west] {$-\mathbf {\hat{z}=|1\rangle}$};
-    \tdplotsetcoord{P}{1}{\theta}{\phi}
+  \draw (0.4,1.65) node[anchor=north west] {$|\psi\rangle$};
-    \draw[very thick,->] (0,0,0) -- (P);
+  \scriptsize
-    \node[above right] at (P) {$\lvert\psi\rangle$};
+  \draw [fill] (0,0) circle (1.5pt);
-    \fill (P) circle (0.8pt);
+  \draw [fill] (0.7,1.1) circle (0.5pt);
-    % Projection
-    \draw[dashed] (P) -- (Pxy);
-    \draw[dashed] (0,0,0) -- (Pxy);
-    % Theta
-    \tdplotsetthetaplanecoords{\phi}
-    \tdplotdrawarc[tdplot_rotated_coords,->]{(0,0,0)}{0.32}{0}{\theta}
-        {anchor=south west}{$\theta$};
-    % Phi
-    \tdplotdrawarc[->]{(0,0,0)}{0.46}{0}{\phi}
-        {anchor=north}{$\phi$};
 \end{tikzpicture}
 \end{document}