Analysis of Entanglement and Logic Gate Implementation in Generic Two-Level Systems

An N-atom quantum system interacting with a single cavity field mode serves as an intuitive and useful model for many areas of quantum information science. We extend this model to describe artificial systems composed of quantum dots and Josephson junction devices as well. In addition, we include the dipole interactions characteristic of such systems. We use Bell-type inequalities and concurrence to examine the development of entanglement in the specific cases of two- and three-atom systems, and find that the effect of dipole interactions on entanglement generation depends heavily on the initial state of the system. Finally, we propose a method of implementing two- and three-qubit CMINUS gates using our proposed model