Create quantum_error_correction_simulation.py

quantum/simulations/quantum_error_correction_simulation.py

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+# quantum_error_correction_simulation.py
+import numpy as np
+from qiskit import QuantumCircuit, Aer, transpile, assemble, execute
+from qiskit.visualization import plot_histogram
+from qiskit.quantum_info import Statevector, DensityMatrix
+
+def shor_code_circuit():
+    """
+    Create a quantum circuit for the Shor error correction code.
+
+    Returns:
+    - QuantumCircuit: The constructed Shor code circuit.
+    """
+    circuit = QuantumCircuit(9, 3)
+
+    # Encode the logical |0⟩ state
+    circuit.h(0)  # Prepare |+⟩ state
+    circuit.cx(0, 1)
+    circuit.cx(0, 2)
+
+    # Apply the first round of error correction
+    circuit.barrier()
+    circuit.cx(1, 3)
+    circuit.cx(2, 4)
+    circuit.cx(1, 5)
+    circuit.cx(2, 6)
+
+    # Measure the first qubit
+    circuit.measure(0, 0)
+    circuit.measure(1, 1)
+    circuit.measure(2, 2)
+
+    return circuit
+
+def surface_code_circuit():
+    """
+    Create a simple quantum circuit for the surface code.
+
+    Returns:
+    - QuantumCircuit: The constructed surface code circuit.
+    """
+    circuit = QuantumCircuit(9, 3)
+
+    # Prepare the logical |0⟩ state
+    circuit.h(0)
+    circuit.h(1)
+    circuit.h(3)
+    circuit.h(4)
+
+    # Apply CNOTs to create entanglement
+    circuit.cx(0, 3)
+    circuit.cx(1, 4)
+    circuit.cx(3, 6)
+    circuit.cx(4, 7)
+
+    # Measure the qubits
+    circuit.measure(range(3), range(3))
+
+    return circuit
+
+def simulate_error_correction(circuit):
+    """
+    Simulate the quantum error correction circuit.
+
+    Parameters:
+    - circuit: The quantum circuit to simulate.
+
+    Returns:
+    - counts: The measurement results.
+    """
+    # Execute the circuit
+    backend = Aer.get_backend('qasm_simulator')
+    transpiled_circuit = transpile(circuit, backend)
+    qobj = assemble(transpiled_circuit)
+    result = execute(qobj, backend, shots=1024).result()
+
+    return result.get_counts()
+
+if __name__ == "__main__":
+    # Simulate Shor code
+    print("Simulating Shor Code:")
+    shor_circ = shor_code_circuit()
+    shor_counts = simulate_error_correction(shor_circ)
+    print("Shor Code Measurement Results:")
+    print(shor_counts)
+    plot_histogram(shor_counts).show()
+
+    # Simulate Surface code
+    print("Simulating Surface Code:")
+    surface_circ = surface_code_circuit()
+    surface_counts = simulate_error_correction(surface_circ)
+    print("Surface Code Measurement Results:")
+    print(surface_counts)
+    plot_histogram(surface_counts).show()