revert the probs change due to raised convern #6727

pennylane/measurements/probs.py

@@ -264,10 +264,6 @@ def process_density_matrix(self, density_matrix: TensorLike, wire_order: Wires):
             )
 
         # Since we only care about the probabilities, we can simplify the task here by creating a 'pseudo-state' to carry the diagonal elements and reuse the process_state method
-        # Introduce a small epsilon to avoid sqrt(0) to ensure absolute positivity.
-        prob = qml.math.real(prob)
-        prob = qml.math.where(prob < 0, -prob, prob)
-        prob = qml.math.where(prob == 0, prob + np.finfo(np.float64).eps, prob)
         p_state = qml.math.sqrt(prob)
         return self.process_state(p_state, wire_order)