# nebula/phase_estimation/optimized_phase_estimation.py

def quantum_phase_estimation_optimized_noise(unitary_operator, num_qubits):
    """
    Implement optimized Quantum Phase Estimation with noise mitigation techniques.

    Parameters:
    - unitary_operator: Unitary operator for phase estimation.
    - num_qubits: Number of qubits for the quantum state.

    Returns:
    - estimated_state: Optimized estimated quantum state after phase estimation with noise mitigation.
    """
    estimated_state = np.ones(2**num_qubits) / np.sqrt(2**num_qubits)
    # Implement optimized QPE with noise mitigation techniques here
    # Apply error mitigation strategies such as error correction, noise modeling, or error suppression

    return estimated_state