Approximate and Conditional Teleportation of an Unknown Atomic State Without the Bell-state Measurement with Multi-photon Interaction

A scheme for approximately and conditionally teleporting an unknown atomic state via multi-photon interaction in cavity quantum electro dynamics (QED) is proposed. It is the extension of the scheme of Zheng (2004) [Physical Review A69, 064302], which is based on Jaynes–Cummings model in QED and where only a time point of system evolution and the corresponding Fidelity implementing the teleportation are given. In our scheme, the cavity field may be Fock state and the multi-photon interaction Jaynes–Cummings model is used to realize the approximate and conditional teleportation. Our scheme does not involve the Bell-state measurement and an additional atom, only requiring two atoms and one single-mode cavity. The fidelity of the scheme is higher than that of Zheng (2004) [Physical Review A69, 064302]. The scheme may be generalized to not only the teleportation of the state of a cavity mode to another mode by means of a single atom but also the teleportation of the state of a trapped ion. PACS: 03.67.-Ta, 03.65.Ta, 42.50.Dv