An analytical treatment of excitons in coupled three quantum dots and maximum entangled states generation

We explore and develop the mathematics of the theory of a class encompassing several widely encountered models of a solid-state quantum structure which is capable of generating maximally entangled states, such as Bell-states and Greenberger–Horne–Zeilinger (GHZ) states. This analytical treatment not only provides an unified formulation to the models belonging to the class considered but is found to uncover several new results for physical systems possessing multi-particles interaction. The concept of entanglement fidelity is used to construct explicitly general features of the system which is postulated to satisfy the maximum entangled states generation conditions. The laser pulses necessary to generate these maximally entangled states are given explicitly. We show that the fidelity yields a structure that is analogous in many respects to that of maximum entanglement. These results have significant implications for quantum dots-based information processing. The results are illustrated with an application to a specific wide-gap semiconductor quantum dots system, like Zinc Selenide (ZnSe)-based quantum dots. The scheme for generating GHZ state using quantum dots model could be implemented using technology that is currently being developed.