diff --git a/tests/mqt_test/test_qudits/qudits_circuits/components/instructions/gate_set/test_s.py b/tests/mqt_test/test_qudits/qudits_circuits/components/instructions/gate_set/test_s.py
new file mode 100644
index 0000000..918fe4c
--- /dev/null
+++ b/tests/mqt_test/test_qudits/qudits_circuits/components/instructions/gate_set/test_s.py
@@ -0,0 +1,22 @@
+from unittest import TestCase
+
+import numpy as np
+from mqt.qudits.qudit_circuits.circuit import QuantumCircuit
+
+
+def omega_d(d):
+    return np.e ** (2 * np.pi * 1j / d)
+
+
+class TestZ(TestCase):
+    def setUp(self):
+        self.circuit_23 = QuantumCircuit(1, [2], 0)
+
+    def test___array__(self):
+        s_0 = self.circuit_23.s(0)
+        matrix_0 = s_0.to_matrix(identities=0)
+        assert np.allclose(np.array([[1, 0], [0, 1j]]), matrix_0)
+
+    def test_validate_parameter(self):
+        z = self.circuit_23.z(0)
+        assert z.validate_parameter()