diff --git a/qualtran/bloqs/basic_gates/su2_rotation.py b/qualtran/bloqs/basic_gates/su2_rotation.py
index 72d09a4a3..49711c03e 100644
--- a/qualtran/bloqs/basic_gates/su2_rotation.py
+++ b/qualtran/bloqs/basic_gates/su2_rotation.py
@@ -138,7 +138,7 @@ def wire_symbol(self, soq: 'Soquet') -> 'WireSymbol':
         )
 
     def _t_complexity_(self) -> TComplexity:
-        return TComplexity(rotations=3, clifford=1)
+        return TComplexity(rotations=3)
 
     def _is_parameterized_(self) -> bool:
         return any(
diff --git a/qualtran/cirq_interop/t_complexity_protocol.py b/qualtran/cirq_interop/t_complexity_protocol.py
index c3f73697e..759ca1899 100644
--- a/qualtran/cirq_interop/t_complexity_protocol.py
+++ b/qualtran/cirq_interop/t_complexity_protocol.py
@@ -94,6 +94,11 @@ def _is_clifford_or_t(stc: Any, fail_quietly: bool) -> Optional[TComplexity]:
     if not isinstance(stc, (cirq.Gate, cirq.Operation)):
         return None
 
+    if isinstance(stc, cirq.GlobalPhaseGate) or (
+        isinstance(stc, cirq.Operation) and isinstance(stc.gate, cirq.GlobalPhaseGate)
+    ):
+        return TComplexity()
+
     if isinstance(stc, cirq.ClassicallyControlledOperation):
         stc = stc.without_classical_controls()
 
diff --git a/qualtran/cirq_interop/t_complexity_protocol_test.py b/qualtran/cirq_interop/t_complexity_protocol_test.py
index 12b79c9fd..1f9cdb2ce 100644
--- a/qualtran/cirq_interop/t_complexity_protocol_test.py
+++ b/qualtran/cirq_interop/t_complexity_protocol_test.py
@@ -132,6 +132,9 @@ def test_gates():
 
     assert t_complexity(cirq.FREDKIN) == TComplexity(t=7, clifford=14)
 
+    # Global phase
+    assert t_complexity(cirq.GlobalPhaseGate(1j)) == TComplexity()
+
 
 def test_operations():
     q = cirq.NamedQubit('q')
@@ -145,6 +148,8 @@ def test_operations():
     op = gate.on_registers(**get_named_qubits(gate.signature))
     assert t_complexity(op) == TComplexity(clifford=4)
 
+    assert t_complexity(cirq.global_phase_operation(1j)) == TComplexity()
+
 
 def test_circuits():
     q = cirq.NamedQubit('q')
diff --git a/qualtran/resource_counting/t_counts_from_sigma_test.py b/qualtran/resource_counting/t_counts_from_sigma_test.py
index 82fb75319..181002c9e 100644
--- a/qualtran/resource_counting/t_counts_from_sigma_test.py
+++ b/qualtran/resource_counting/t_counts_from_sigma_test.py
@@ -19,6 +19,7 @@
     Rx,
     Ry,
     Rz,
+    SU2RotationGate,
     TGate,
     Toffoli,
     XPowGate,
@@ -33,7 +34,16 @@
 
 
 def test_all_rotation_types():
-    assert set(_get_all_rotation_types()) == {CZPowGate, Rx, Ry, Rz, XPowGate, YPowGate, ZPowGate}
+    assert set(_get_all_rotation_types()) == {
+        CZPowGate,
+        Rx,
+        Ry,
+        Rz,
+        XPowGate,
+        YPowGate,
+        ZPowGate,
+        SU2RotationGate,
+    }
 
 
 def test_t_counts_from_sigma():