Updated and cleanup the module5

Author: Stephen Shao

examples/module5_error_correction/06_trex_measurement_mitigation.py

@@ -77,7 +77,10 @@ def build_trex_calibration_circuits(self, num_qubits):
                     if (twirl_config >> qubit) & 1:
                         twirled_circuit.x(qubit)
 
-                twirled_circuit.measure_all()
+                # Explicit measurement to existing classical registers
+                for qubit in range(num_qubits):
+                    twirled_circuit.measure(qubit, qubit)
+                
                 calibration_circuits.append((basis_state, twirl_config, twirled_circuit))
 
         return calibration_circuits
@@ -229,7 +232,7 @@ def counts_to_probs(counts):
             'error_reduction_pct': (1 - mitigated_error/noisy_error) * 100 if noisy_error > 0 else 0
         }
 
-    def visualize_trex_results(self, results, save_path='trex_results.png'):
+    def visualize_trex_results(self, results, save_path='module5_06_trex_results.png'):
         """Visualize TREX mitigation results"""
         fig, axes = plt.subplots(2, 2, figsize=(14, 10))
 
@@ -348,7 +351,8 @@ def main():
         test_circuit = QuantumCircuit(2, 2)
         test_circuit.h(0)
         test_circuit.cx(0, 1)
-        test_circuit.measure_all()
+        test_circuit.measure(0, 0)
+        test_circuit.measure(1, 1)
 
         print(f"   Qubits: {test_circuit.num_qubits}")
         print(f"   Depth: {test_circuit.depth()}")

examples/module5_error_correction/07_google_willow_surface_code.py

@@ -191,7 +191,7 @@ def compare_above_below_threshold(self):
         print(f"   Above threshold: Errors INCREASE with more qubits ❌")
         print(f"   Willow proved we're in the \"good regime\"!")
 
-    def visualize_willow_results(self, results, save_path='willow_analysis.png'):
+    def visualize_willow_results(self, results, save_path='module5_07_willow_analysis.png'):
         """Visualize Google Willow's achievements"""
         fig, axes = plt.subplots(2, 2, figsize=(14, 10))
 

examples/module5_error_correction/08_tensor_network_error_mitigation.py

@@ -232,7 +232,7 @@ def total_variation_distance(counts1, counts2):
             'error_reduction_pct': error_reduction_pct
         }
 
-    def visualize_tem_results(self, results, save_path='tem_results.png'):
+    def visualize_tem_results(self, results, save_path='module5_08_tem_results.png'):
         """Visualize TEM mitigation results"""
 
         fig, axes = plt.subplots(2, 2, figsize=(14, 10))

modules/Module5_Quantum_Error_Correction_and_Noise.md

@@ -3232,11 +3232,13 @@ hybrid_mitigation_correction_strategy()
 - ✓ Dynamical decoupling for dephasing protection
 - ✓ When and how to combine techniques
 
-**Cutting-Edge Techniques (5.3.5):** 🆕
+**Cutting-Edge Techniques (5.3.5-5.3.6):** 🆕
 - ✓ **TREX**: IBM's twirled readout mitigation (2-5× improvement)
 - ✓ **Google Willow**: First below-threshold demonstration
 - ✓ **QLDPC Codes**: 10-15× more efficient than surface codes
 - ✓ **PEC**: Quasi-probability error inversion (10-100× reduction)
+- ✓ **TEM**: Tensor network error mitigation (5-10× improvement)
+- ✓ **MPC**: Matrix Product Channel for VQE
 - ✓ **Unified pipelines**: Combining multiple strategies
 
 **Quantum Error Correction (5.4-5.6):**