diff --git a/cirq-pasqal/cirq_pasqal/pasqal_device.py b/cirq-pasqal/cirq_pasqal/pasqal_device.py
index 28375eb9856..ee7dd2dbd43 100644
--- a/cirq-pasqal/cirq_pasqal/pasqal_device.py
+++ b/cirq-pasqal/cirq_pasqal/pasqal_device.py
@@ -63,6 +63,21 @@ def __init__(self, qubits: Sequence[cirq.ops.Qid]) -> None:
                 'qubits.'.format(type(self), self.maximum_qubit_number)
             )
 
+        self.gateset = cirq.Gateset(
+            cirq.ParallelGateFamily(cirq.H),
+            cirq.ParallelGateFamily(cirq.PhasedXPowGate),
+            cirq.ParallelGateFamily(cirq.XPowGate),
+            cirq.ParallelGateFamily(cirq.YPowGate),
+            cirq.ParallelGateFamily(cirq.ZPowGate),
+            cirq.AnyIntegerPowerGateFamily(cirq.CNotPowGate),
+            cirq.AnyIntegerPowerGateFamily(cirq.CCNotPowGate),
+            cirq.AnyIntegerPowerGateFamily(cirq.CZPowGate),
+            cirq.AnyIntegerPowerGateFamily(cirq.CCZPowGate),
+            cirq.IdentityGate,
+            cirq.MeasurementGate,
+            unroll_circuit_op=False,
+            accept_global_phase=False,
+        )
         self.qubits = qubits
 
     # pylint: enable=missing-raises-doc
@@ -96,43 +111,9 @@ def decompose_operation(self, operation: cirq.ops.Operation) -> 'cirq.OP_TREE':
         return decomposition
 
     def is_pasqal_device_op(self, op: cirq.ops.Operation) -> bool:
-
         if not isinstance(op, cirq.ops.Operation):
             raise ValueError('Got unknown operation:', op)
-
-        if isinstance(op.gate, cirq.ops.MeasurementGate):
-            return True
-
-        op_gate = op.gate.sub_gate if isinstance(op.gate, cirq.ops.ParallelGate) else op.gate
-
-        if isinstance(
-            op_gate,
-            (
-                cirq.ops.IdentityGate,
-                cirq.ops.PhasedXPowGate,
-                cirq.ops.XPowGate,
-                cirq.ops.YPowGate,
-                cirq.ops.ZPowGate,
-            ),
-        ):
-            return True
-
-        if (
-            isinstance(
-                op_gate,
-                (
-                    cirq.ops.HPowGate,
-                    cirq.ops.CNotPowGate,
-                    cirq.ops.CZPowGate,
-                    cirq.ops.CCZPowGate,
-                    cirq.ops.CCXPowGate,
-                ),
-            )
-            and not cirq.is_parameterized(op)
-        ):
-            expo = op_gate.exponent
-            return np.isclose(expo, np.around(expo, decimals=0))
-        return False
+        return op in self.gateset
 
     # TODO(#3388) Add documentation for Raises.
     # pylint: disable=missing-raises-doc
@@ -267,6 +248,15 @@ def __init__(
                 )
 
         self.control_radius = control_radius
+        self.exclude_gateset = cirq.Gateset(
+            cirq.AnyIntegerPowerGateFamily(cirq.CNotPowGate),
+            cirq.AnyIntegerPowerGateFamily(cirq.CCNotPowGate),
+            cirq.AnyIntegerPowerGateFamily(cirq.CCZPowGate),
+        )
+        self.controlled_gateset = cirq.Gateset(
+            *self.exclude_gateset.gates,
+            cirq.AnyIntegerPowerGateFamily(cirq.CZPowGate),
+        )
 
     @property
     def supported_qubit_type(self):
@@ -278,9 +268,7 @@ def supported_qubit_type(self):
         )
 
     def is_pasqal_device_op(self, op: cirq.ops.Operation) -> bool:
-        return super().is_pasqal_device_op(op) and not isinstance(
-            op.gate, (cirq.ops.CNotPowGate, cirq.ops.CCZPowGate, cirq.ops.CCXPowGate)
-        )
+        return super().is_pasqal_device_op(op) and op not in self.exclude_gateset
 
     def validate_operation(self, operation: cirq.ops.Operation):
         """Raises an error if the given operation is invalid on this device.
@@ -293,14 +281,11 @@ def validate_operation(self, operation: cirq.ops.Operation):
         super().validate_operation(operation)
 
         # Verify that a controlled gate operation is valid
-        if isinstance(operation, cirq.ops.GateOperation):
-            if len(operation.qubits) > 1 and not isinstance(
-                operation.gate, (cirq.ops.MeasurementGate, cirq.ops.ParallelGate)
-            ):
-                for p in operation.qubits:
-                    for q in operation.qubits:
-                        if self.distance(p, q) > self.control_radius:
-                            raise ValueError(f"Qubits {p!r}, {q!r} are too far away")
+        if operation in self.controlled_gateset:
+            for p in operation.qubits:
+                for q in operation.qubits:
+                    if self.distance(p, q) > self.control_radius:
+                        raise ValueError(f"Qubits {p!r}, {q!r} are too far away")
 
     def validate_moment(self, moment: cirq.ops.Moment):
         """Raises an error if the given moment is invalid on this device.