The tracking control of quantum correlations between two coupled qutrits is examined, where the qutrits are coupled to a Markovian environment. The analyzed noise is the amplitude damping. We adapt the piecewise time independent quantum control method to a general $N$ qutrits system. Effectively, the control field is an external potential applied to the system which contains two adjustable parameters, the intensity and the phase of the field. Using this method we increase the time for which the system remains coherent and entangled. Furthermore, tracking quantum control protocols with different targets are presented, considering the case where the qutrits are in resonance and the case of non-resonance. In all the dynamic evolution studied, entanglement and trace distance are analyzed.

研究了两个耦合的量子态之间的量子相关性的跟踪控制，其中，量子态耦合到马尔可夫环境。分析的噪声是振幅阻尼。我们将分段时间独立的量子控制方法应用于一般$ñ$qutrits系统。实际上，控制场是应用于系统的外部电势，它包含两个可调参数，即场强和相位。使用这种方法，我们增加了系统保持一致和纠缠的时间。此外，提出了具有不同目标的跟踪量子控制协议，其中考虑了量子共振的情况和非共振的情况。在研究的所有动态演化过程中，都分析了纠缠和迹线距离。