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Communications in Theoretical Physics

Teleporation of an Arbitrary Two-Particle State Without Bell-State Measurement in Cavity QED

Zhong Zhi-Rong, Sai-Yun Ye, Wan-Jun Su

Published Jun 1, 2008• 3 citations
Publisher

Abstract

A scheme for approximately conditional teleportation of an arbitrary two-particle state without Bell-state measurement in cavity QED is presented. The scheme involves four two-level atoms and two single-mode cavities. The detection of atoms 3 and 4 collapses the atoms 1 and 2 to the initial state of atoms 3 and 4, while the cavity fields left in the vacuum state. The probability of success and the fidelity of our scheme are 0.125 and 0.98, respectively.

DOI
10.1088/0253-6102/49/6/52

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A scheme for approximately conditional teleportation of an arbitrary two-particle state without Bell-state measurement in cavity QED is presented. The scheme involves four two-level atoms and two single-mode cavities. The detection of atoms 3 and 4 collapses the atoms 1 and 2 to the initial state of atoms 3 and 4, while the cavity fields left in the vacuum state. The probability of success and the fidelity of our scheme are 0.125 and 0.98, respectively.
A scheme for approximately and conditionally teleporting an unknown atomic state via two-photon interaction in cavity QED is proposed. It is the extension of the scheme of Ref. [11] [Phys. Rev. A 69 (2004) 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 two-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 Ref. [11]. 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.
A scheme for approximately and conditionally teleporting an unknown atomic-entangled state in cavity QED is proposed. It is the novel extension of the scheme of [ Phys. Rev. A 69 (2004) 064302], where the state to be teleported is an unknown atomic state and where only a time point of system evolution and the corresponding fidelity implementing the teleportation are given. In fact, there exists multi-time points and the corresponding fidelities, which are shown in this paper and then are used to realize the approximate and conditional teleportation of the unknown atomic-entangled state. Naturally, our scheme does not involve the Bell-state measurement or an additional atom, which is required in the Bell-state measurement, only requiring one single-mode cavity. The scheme may be generalized to not only the teleportation of the cavity-mode-entangled-state by means of a single atom but also the teleportation of the unknown trapped-ion-entangled-state in a linear ion trap and the teleportation of the multi-atomic entangled states included in generalized GHZ states.