Update app.py

app.py

@@ -111,25 +111,33 @@ counts = result.get_counts()
 print(counts)
 """,
     "8. DNA Sequence Matching with Grover's Algorithm": """
-from qiskit import QuantumCircuit, Aer
+from qiskit import QuantumCircuit, transpile
 from qiskit_aer import AerSimulator
 from qiskit.circuit.library import GroverOperator
 from qiskit.algorithms import AmplificationProblem
 
-# Oracle marks the target sequence
+# Define a 2-qubit oracle that marks the state |01> as a solution
 def oracle(circuit):
-    circuit.cz(0, 1)  # Mark sequence 01 as a solution
+    circuit.cz(0, 1)  # Apply a controlled-Z gate for the |01> state
 
+# Initialize a 2-qubit quantum circuit
 qc = QuantumCircuit(2)
+
+# Apply the oracle
 oracle(qc)
 
-# Grover search for the sequence
-problem = AmplificationProblem(qc)
+# Use GroverOperator to amplify the marked solution
+problem = AmplificationProblem(oracle_circuit=qc)
 grover_circuit = GroverOperator(problem)
+
+# Use AerSimulator as the backend
 simulator = AerSimulator()
 
+# Transpile and execute the circuit
 compiled_circuit = transpile(grover_circuit, simulator)
 result = simulator.run(compiled_circuit, shots=1024).result()
+
+# Retrieve and print the counts
 counts = result.get_counts()
 print(counts)
 """,