\documentclass{standalone}

\usepackage{blochsphere}

\begin{document}

\begin{blochsphere}[radius=1.5 cm,tilt=15,rotation=-20]
       \drawBallGrid[style={opacity=0.1}]{30}{30}

       \drawGreatCircle[style={dashed}]{-60}{0}{0}
       \drawGreatCircle[style={dashed}]{60}{0}{0}

       \drawRotationLeft[scale=1.3,style={red}]{-60}{0}{0}{15}
       \drawRotationRight[scale=1.3,style={red}]{60}{0}{0}{15}

       \node at (-0.8,1.9) {\textcolor{red}{\tiny $J_{12}(t)$}};
       \node at (1.1,1.8) {\textcolor{red}{\tiny $J_{23}(t)$}};

       \labelLatLon{up}{90}{0};
       \labelLatLon{down}{-90}{90};
       \node[above] at (up) {{\tiny $\left|1\right>$ }};
       \node[below] at (down) {{\tiny $\left|0\right>$}};

       \labelLatLon[labelmark=false]{d}{15}{90};
       \node at (d) {\color{gray}\fontsize{0.15cm}{1em}\selectfont $60^\circ$};

       \labelLatLon[labelmark=false]{d2}{5}{78};
       \node at (d2) {\color{gray}\fontsize{0.15cm}{1em}\selectfont $60^\circ$};
\end{blochsphere}
\end{document}

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