The environment quantikz from the package quantikz is not treated as a math environment.
Here is some test code for a possible mathzone check:
\usepackage{quantikz}
\begin{quantikz}
q_{1} & \gate[4]{e^{i t H_C}} & \\
q_{2} & & \\
q_{3} & & \\
q_{4} & & \\
\end{quantikz}
Thank you!