I'm trying to simulate a quantum fibre channel, but I keep getting an error message saying the model qutip has no attribute depolarize. The library I imported are qutip as qt, lumpy as np and random. Here's my definition for the quantum channel: channel = qt.to_super(qt.depolarize(1 - drift_rate / fibre_length)). How do I go about this problem?
import qutip as qt
import numpy as np
import random
# Set up the simulation parameters
fibre_length = 10 # in km
drift_rate = 0.1 # in degrees/km
error_rate = 0.05 # in decimal fraction
num_iterations = 1000
# Create the initial quantum state
initial_state = qt.basis(2, 0)
# Define the channel
channel = qt.to_super(qt.depolarize(1 - drift_rate / fibre_length))
# Run the simulations
polarizations = []
for i in range(num_iterations):
polarization = initial_state.expect(qt.sigmaz())
# Apply the channel
for j in range(fibre_length):
unitary = qt.tensor(qt.qip.operations.rotation_gate(random.uniform(0, 2 * np.pi), 'x'), qt.qeye(2))
channel = channel * qt.to_super(unitary)
polarization += random.uniform(-1, 1) # Add random polarization errors
final_state = qt.vector_to_operator(channel * qt.operator_to_vector(initial_state))
# Add random quantum errors
if random.random() < error_rate:
noise = qt.rand_unitary(2)
final_state = noise * final_state
polarization = qt.expect(qt.sigmaz(), final_state)
polarizations.append(polarization)
# Compute the statistics
mean_polarization = np.mean(polarizations)
std_polarization = np.std(polarizations)
print(f"Mean polarization: {mean_polarization}")
print(f"Standard deviation of polarization: {std_polarization}")