diff --git a/src/qibojit/backends/matrices.py b/src/qibojit/backends/matrices.py
index 6bf2ff00..099c3a76 100644
--- a/src/qibojit/backends/matrices.py
+++ b/src/qibojit/backends/matrices.py
@@ -34,6 +34,10 @@ def CZ(self):
     def CSX(self):
         return self.SX
 
+    @cached_property
+    def CSXDG(self):
+        return self.SXDG
+
     def CRX(self, theta):
         return self.RX(theta)
 
diff --git a/src/qibojit/tests/test_gates.py b/src/qibojit/tests/test_gates.py
index 0aef558e..e086efb3 100644
--- a/src/qibojit/tests/test_gates.py
+++ b/src/qibojit/tests/test_gates.py
@@ -204,6 +204,30 @@ def test_apply_csx(backend, nqubits, targets, dtype):
     backend.assert_allclose(state, target_state, atol=ATOL.get(dtype))
 
 
+@pytest.mark.parametrize(
+    ("nqubits", "targets"),
+    [
+        (2, [0, 1]),
+        (3, [0, 2]),
+        (4, [1, 3]),
+        (3, [1, 2]),
+        (4, [0, 2]),
+        (4, [2, 3]),
+        (5, [3, 4]),
+        (6, [1, 4]),
+    ],
+)
+def test_apply_csxdg(backend, nqubits, targets, dtype):
+    tbackend = NumpyBackend()
+    state = random_statevector(2**nqubits, backend=tbackend).astype(dtype)
+    gate = gates.CSXDG(*targets)
+
+    set_precision(dtype, backend, tbackend)
+    target_state = tbackend.apply_gate(gate, np.copy(state), nqubits)
+    state = backend.apply_gate(gate, np.copy(state), nqubits)
+    backend.assert_allclose(state, target_state, atol=ATOL.get(dtype))
+
+
 @pytest.mark.parametrize(
     ("nqubits", "targets"),
     [