Quantum computers can often be used in a hybrid setting, where classical computers still play an important role in the operation and use of the quantum computer. A hybrid architecture can serve as a foundational paradigm for realizing the early potential of quantum technologies, allowing us to combine the advantages of classical systems with the emerging capabilities of quantum processors to enable useful computations despite hardware limitations. Keeping the Turing machine for the classical part, this paper provides 5 types of quantum computational models and investigates the key effects and challenges of each from a theoretical point of view. In addition, it gives an overview of the key properties and recent advances to integrate the most efficient and feasible hybrid scheme based on the application in our Quantum Network.