Differences

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

--- meta:scratch [August 13, 2026 at 18:47] – 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{mathtools}
 \usetikzlibrary{arrows.meta}
 \begin{document}
-\begin{tikzpicture}[scale=2]
+\begin{tikzpicture}[line cap=round, line join=round, >=Triangle]
-    % Sphere
+  \clip(-2.19,-2.49) rectangle (2.66,2.58);
-    \draw (0,0) circle (1);
+  \draw [shift={(0,0)}, lightgray, fill, fill opacity=0.1] (0,0) -- (56.7:0.4) arc (56.7:90.:0.4) -- cycle;
+  \draw [shift={(0,0)}, lightgray, fill, fill opacity=0.1] (0,0) -- (-135.7:0.4) arc (-135.7:-33.2:0.4) -- cycle;
-    % Equator
+  \draw(0,0) circle (2cm);
-    \draw[dashed] (-1,0) arc (180:360:1 and 0.30);
+  \draw [rotate around={0.:(0.,0.)},dash pattern=on 3pt off 3pt] (0,0) ellipse (2cm and 0.9cm);
-    \draw (1,0) arc (0:180:1 and 0.30);
+  \draw (0,0)-- (0.70,1.07);
+  \draw [->] (0,0) -- (0,2);
-    % Axes
+  \draw [->] (0,0) -- (-0.81,-0.79);
-    \draw[-{Stealth}] (0,0) -- (0,1.30) node[above] {$\lvert 0\rangle$};
+  \draw [->] (0,0) -- (2,0);
-    \draw[-{Stealth}] (0,0) -- (0,-1.30) node[below] {$\lvert 1\rangle$};
+  \draw [dotted] (0.7,1)-- (0.7,-0.46);
-    \draw[-{Stealth}] (0,0) -- (1.25,0.38) node[right] {$x$};
+  \draw [dotted] (0,0)-- (0.7,-0.46);
-    \draw[-{Stealth}] (0,0) -- (-1.10,0.55) node[left] {$y$};
+  \draw (-0.08,-0.3) node[anchor=north west] {$\varphi$};
+  \draw (0.01,0.9) node[anchor=north west] {$\theta$};
-    % State vector
+  \draw (-1.01,-0.72) node[anchor=north west] {$\mathbf {\hat{x}}$};
-    \coordinate (psi) at (0.55,0.72);
+  \draw (2.07,0.3) node[anchor=north west] {$\mathbf {\hat{y}}$};
-    \draw[very thick,-{Stealth}] (0,0) -- (psi) node[above right] {$\lvert\psi\rangle$};
+  \draw (-0.5,2.6) node[anchor=north west] {$\mathbf {\hat{z}=|0\rangle}$};
+  \draw (-0.4,-2) node[anchor=north west] {$-\mathbf {\hat{z}=|1\rangle}$};
-    % Polar angle
+  \draw (0.4,1.65) node[anchor=north west] {$|\psi\rangle$};
-    \draw[->] (0,0.38) arc[start angle=90,end angle=52,radius=0.38];
+  \scriptsize
-    \node at (0.16,0.43) {$\theta$};
+  \draw [fill] (0,0) circle (1.5pt);
+  \draw [fill] (0.7,1.1) circle (0.5pt);
-    % State point
-    \fill (psi) circle (0.025);
 \end{tikzpicture}
 \end{document}