U Gate¶
The single-qubit gate applies phase and rotation with three Euler angles.
Matrix representation:
\[
U(\gamma,\phi,\theta,\lambda) = e^{i\gamma}\begin{pmatrix}
\cos(\frac{\theta}{2}) & -e^{i\lambda}\sin(\frac{\theta}{2}) \\
e^{i\phi}\sin(\frac{\theta}{2}) & e^{i(\phi+\lambda)}\cos(\frac{\theta}{2}) \\
\end{pmatrix}
\]
Syntax¶
Function: UGate
Parameters:
theta: Union[float, Parameter]phi: Union[float, Parameter]lam: Union[float, Parameter]gam: Union[float, Parameter]
Example¶
{
"functions": [
{
"name": "main",
"body": [
{
"function": "UGate",
"function_params": {
"theta": "theta",
"phi": "phi",
"lam": "lam",
"gam": "gam"
}
}
]
}
]
}
from classiq.builtin_functions import UGate
from classiq import Model
model = Model()
u_params = UGate(theta="theta", phi="phi", lam="lam", gam="gam")
model.UGate(u_params)
