diff --git a/app.py b/app.py
index c11a7e3..a6e00b1 100644
--- a/app.py
+++ b/app.py
@@ -4,7 +4,7 @@
 """
 
 import gradio as gr
-import numpy as np
+
 from quantumpytho.engine import QuantumEngine
 from quantumpytho.modules.bloch_ascii import one_qubit_from_angles
 from quantumpytho.modules.circuit_explorer import bell_pair
@@ -12,6 +12,7 @@
 # Initialize quantum engine
 engine = QuantumEngine()
 
+
 def bloch_sphere_demo(theta, phi):
     """Generate Bloch sphere ASCII visualization."""
     try:
@@ -20,40 +21,48 @@ def bloch_sphere_demo(theta, phi):
     except Exception as e:
         return f"Error: {str(e)}"
 
+
 def create_bell_pair():
     """Create a Bell pair and return circuit diagram."""
     try:
         circuit = bell_pair()
-        return circuit.draw(output='text')
+        return circuit.draw(output="text")
     except Exception as e:
         return f"Error: {str(e)}"
 
+
 def run_quantum_teleport():
     """Run quantum teleportation demo."""
     try:
         from quantumpytho.modules.teleport_bridge import build_teleport_circuit
+
         circuit = build_teleport_circuit()
         result = engine.run(circuit)
         return f"Teleportation circuit executed successfully!\n\nCounts: {result}"
     except Exception as e:
         return f"Error: {str(e)}"
 
+
 def run_qec_demo(code_type="Shor"):
     """Run Quantum Error Correction demo."""
     try:
         if code_type == "Shor":
             from quantumpytho.modules.qec_shor import run_shor_qec_demo
+
             return run_shor_qec_demo()
         else:
             from quantumpytho.modules.qec_steane import run_steane_qec_demo
+
             return run_steane_qec_demo()
     except Exception as e:
         return f"Error: {str(e)}"
 
+
 def generate_qrng(count, phi_scale=False):
     """Generate quantum random numbers."""
     try:
         from quantumpytho.modules.qrng_sacred import qrng_phi_sequence
+
         if phi_scale:
             result = qrng_phi_sequence(count)
             return f"QRNG with phi-scaling:\n{result}"
@@ -67,6 +76,7 @@ def generate_qrng(count, phi_scale=False):
     except Exception as e:
         return f"Error: {str(e)}"
 
+
 # Create Gradio interface
 def create_interface():
     with gr.Blocks(title="QPyth - Quantum Computing") as demo:
@@ -75,7 +85,7 @@ def create_interface():
         
         A professionally engineered quantum computing library built on Qiskit.
         """)
-        
+
         with gr.Tab("Bloch Sphere"):
             gr.Markdown("Visualize quantum states on the Bloch sphere")
             with gr.Row():
@@ -83,27 +93,29 @@ def create_interface():
                 phi = gr.Slider(0, 360, value=45, label="Phi (degrees)")
             bloch_output = gr.Textbox(label="Bloch Sphere Visualization", lines=20)
             bloch_btn = gr.Button("Generate")
-            bloch_btn.click(bloch_sphere_demo, inputs=[theta, phi], outputs=bloch_output)
-        
+            bloch_btn.click(
+                bloch_sphere_demo, inputs=[theta, phi], outputs=bloch_output
+            )
+
         with gr.Tab("Bell Pair"):
             gr.Markdown("Create an entangled Bell pair")
             bell_output = gr.Textbox(label="Circuit", lines=15)
             bell_btn = gr.Button("Create Bell Pair")
             bell_btn.click(create_bell_pair, outputs=bell_output)
-        
+
         with gr.Tab("Quantum Teleportation"):
             gr.Markdown("Run the quantum teleportation protocol")
             teleport_output = gr.Textbox(label="Result", lines=10)
             teleport_btn = gr.Button("Run Teleportation")
             teleport_btn.click(run_quantum_teleport, outputs=teleport_output)
-        
+
         with gr.Tab("Quantum Error Correction"):
             gr.Markdown("Demonstrate quantum error correction codes")
             code_type = gr.Radio(["Shor", "Steane"], label="Code Type", value="Shor")
             qec_output = gr.Textbox(label="Result", lines=15)
             qec_btn = gr.Button("Run QEC Demo")
             qec_btn.click(run_qec_demo, inputs=code_type, outputs=qec_output)
-        
+
         with gr.Tab("Quantum RNG"):
             gr.Markdown("Generate quantum random numbers")
             with gr.Row():
@@ -111,8 +123,10 @@ def create_interface():
                 phi_scale = gr.Checkbox(label="Use phi-scaling")
             qrng_output = gr.Textbox(label="Random Numbers", lines=10)
             qrng_btn = gr.Button("Generate")
-            qrng_btn.click(generate_qrng, inputs=[count, phi_scale], outputs=qrng_output)
-        
+            qrng_btn.click(
+                generate_qrng, inputs=[count, phi_scale], outputs=qrng_output
+            )
+
         gr.Markdown("""
         ---
         
@@ -120,9 +134,10 @@ def create_interface():
         IBM Quantum hardware access, and the complete web UI, please use the CLI or 
         deploy the full application.
         """)
-    
+
     return demo
 
+
 # Launch the app
 if __name__ == "__main__":
     demo = create_interface()