Applied Mathematics & Information Sciences

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We establish a new model for realization of three qubit C-NOT gate operations between two Rydberg atoms and coherent Cavity field. To exploit this C-NOT realization, we enhance many schemes for generation of GHZ-type and W-type entangled coherent state (ECS), to prepare n-cavities GHZ- type (ECS) and n-cavities W- type (ECS). Furthermore, we find the possibility of preparing cluster entangled coherent states using the realized three qubit C-NOT gate. Our model compared with the references schemes generation is more efficient because of simplicity of detecting coherent fields. Also, the rigidity of the model comes from the smaller interaction time needed to realize the three quantum entangled systems due to the proposed interaction.