Quantum simulation coupled with quantum optimal control enables one to design a control protocol, which manipulates a quantum system to achieve a targeted quantum operation. This is essential for the realization of quantum computers and related technologies such as quantum sensing. However, susceptibility to noise critically limits the performance and capabilities of noisy intermediate-scale quantum (NISQ) devices, as well as any future applications of quantum technologies. Effectively manipulating quantum hardware in the presence of imperfect devices and systems is thus a central challenge in realizing useful quantum computers (Ball, Harrison 2020). In addition, although much work is done experimentally to eliminate the unwanted quantum noise and its resultant interactions with the quantum system, the coupling between the system of interest and the external environment remains. By utilizing open-source framework: QuTiP (Quantum Toolbox in Python) (J. R. Johansson, P. D. Nation, and F. Nori 2013), Krotov python package (M. H. Goerz et al. 2019), we studied an open and closed quantum system and implemented optimised control field. An optimal control protocol to implement a quantum operation is developed in the study.