diff --git a/src/qibo/gates/gates.py b/src/qibo/gates/gates.py
index a4ea0cdd04..5aa6f59463 100644
--- a/src/qibo/gates/gates.py
+++ b/src/qibo/gates/gates.py
@@ -1201,12 +1201,27 @@ def __init__(self, q0, q1, theta, trainable=True):
         self.parameters = theta
         self.unitary = True
 
-        if isinstance(theta, (float, int)) and (theta % np.pi).is_integer():
-            self.clifford = True
+        self.update_clifford_condition(theta)
 
         self.init_args = [q0, q1]
         self.init_kwargs = {"theta": theta, "trainable": trainable}
 
+    def update_clifford_condition(self, theta):
+        """Update Clifford boolean condition according to the given angle ``theta``."""
+        if isinstance(theta, (float, int)) and (theta % (np.pi / 2)).is_integer():
+            self.clifford = True
+        else:
+            self.clifford = False
+
+    @property
+    def parameters(self):
+        return self._parameters
+
+    @parameters.setter
+    def parameters(self, value):
+        self._parameters = value
+        self.update_clifford_condition(value)
+
     def _dagger(self) -> "Gate":
         """"""
         q0 = self.control_qubits[0]