import numpy as np


def _optimize_parameters(self, params: np.ndarray) -> np.ndarray:
    """Optimize the quantum parameters."""
    if not self.initialized:
        raise RuntimeError("QuantumOptimizer must be initialized before use")

    # Apply quantum operations
    quantum_state = self._prepare_quantum_state(params)
    quantum_state = self._apply_optimization_gates(quantum_state)

    # Measure and process results
    measurements = self._measure_quantum_state(quantum_state)
    return self._process_measurements(measurements)
