I have created a $16\times 16$ unitary operator using a Hamiltonian by finding its exponential
If I set $\delta t=1$ then I can take this matrix and input it into quirk using the custom gate maker.
Some gates have the option to rotate wrt time. These are the "spinning" gates $Z^t$ etc, which performs the rotation $R_Z(\theta=2\pi t)$
Is there some way to generalize this spinning to any unitary matrix with a time component?
I feel there must be a way to do it by adjusting $U$. Perhaps by rotating all qubits by some angle and then applying a modified $U$? But I'm not sure if it's possible since we'd need to do something like $U'|a\rangle=U^a|0\rangle.$