Asymmetrical Bell state analysis for photon-atoms hybrid system

Bell-state analysis (BSA) has great application in the quantum communication. To our best knowledge, the current works are devoted to the physical realization of symmetrical 2×2-dimensional or 2 N × 2 N -dimensional 2-qudit BSA, and there is no work focused on the physical realization of the asymmetrical high-dimensional (for example 3×4-dimensional 2-qudit) Bell-states complete analysis. In this paper, by using the nonlinear interaction between the atoms and photons, we propose a scheme to completely distinguish the asymmetrical 3×4-dimensional 2-qudit Bell states of a hybrid system. We use the quantum information splitting, which is exploited to resolve the degree-mismatch issue in the quantum state sharing schemes, as an example to show the application of the asymmetrical BSA. Finally, we discuss its possible realization with current experimental techniques. Our asymmetrical high-dimensional BSA protocol may pave a new way for high-capacity long-distance quantum communication.