def V_prepare(k):
"""
Builds the unitary matrix V_k.
Args:
- k (float): The value of kappa in the linear combination of two unitaries
Returns:
- (numpy.ndarray): The matrix V_k.
"""
v_k = # Build the unitary matrix V_k (np.ndarray)
return v_k
dev = qml.device("default.qubit", wires = 2)
@qml.qnode(dev)
def two_unitary_combo(state, k, U, V):
"""
Builds the quantum circuit that implements the linear combination of two unitaries.
Args:
- state (numpy.ndarray): The state to prepare in the main register
- k (float): The value of kappa in the linear combination of two unitaries
- U (numpy.ndarray): The first unitary matrix
- V (numpy.ndarray): The second unitary matrix
Returns:
- (numpy.ndarray): The output state of the circuit
"""
v_k = V_prepare(k)
# Apply the unitary v_k
# Prepare the state on the main register (second wire)