diff --git a/src/Simulation/Core/Types.cs b/src/Simulation/Core/Types.cs
index 0b5b4a00bc7..53841192d9e 100644
--- a/src/Simulation/Core/Types.cs
+++ b/src/Simulation/Core/Types.cs
@@ -42,19 +42,19 @@ public enum Pauli
         /// <summary>
         /// Pauli Identity operator. Corresponds to Q# constant <code>PauliI</code>.
         /// </summary>
-        PauliI,
+        PauliI = 0,
         /// <summary>
         /// Pauli X operator. Corresponds to Q# constant <code>PauliX</code>.
         /// </summary>
-        PauliX,
+        PauliX = 1,
         /// <summary>
         /// Pauli Y operator. Corresponds to Q# constant <code>PauliY</code>.
         /// </summary>
-        PauliY,
+        PauliY = 3,
         /// <summary>
         /// Pauli Z operator. Corresponds to Q# constant <code>PauliZ</code>.
         /// </summary>
-        PauliZ
+        PauliZ = 2
     }
 
     /// <summary>
diff --git a/src/Simulation/Native/src/simulator/gates.hpp b/src/Simulation/Native/src/simulator/gates.hpp
index d103d3c6324..3458a3295f0 100644
--- a/src/Simulation/Native/src/simulator/gates.hpp
+++ b/src/Simulation/Native/src/simulator/gates.hpp
@@ -26,10 +26,10 @@ namespace Gates
 /// a type for runtime basis specification
 enum Basis
 {
-    PauliI,
-    PauliX,
-    PauliY,
-    PauliZ
+    PauliI = 0,
+    PauliX = 1,
+    PauliY = 3,
+    PauliZ = 2
 };
 
 /// a general one qubit gate, storing the qubit number