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International Journal of Modern Physics B

PROBABILISTIC TELEPORTATION OF A TWO-ATOM ENTANGLED STATE IN CAVITY QED

Jinming Liu, YI-CAI WANG, Xiao-Qi Xiao

Published May 20, 2008• 0 citations
Publisher

Abstract

We present two schemes for probabilistically teleporting a two-atom entangled state using a three-atom partially entangled state as the quantum channel in cavity QED with the help of separate atomic measurements. The first scheme is only based on the interaction between two driven atoms and a quantized cavity mode in the large detuning limit, so the effects of both cavity decay and the thermal field are eliminated. In the second scheme, it is necessary to introduce an additional resonant cavity besides the thermal cavity to realize the teleportation, and the corresponding success probability is improved.

DOI
10.1142/s0217979208039150

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We present two schemes for probabilistically teleporting a two-atom entangled state using a three-atom partially entangled state as the quantum channel in cavity QED with the help of separate atomic measurements. The first scheme is only based on the interaction between two driven atoms and a quantized cavity mode in the large detuning limit, so the effects of both cavity decay and the thermal field are eliminated. In the second scheme, it is necessary to introduce an additional resonant cavity besides the thermal cavity to realize the teleportation, and the corresponding success probability is improved.
We propose a scheme for the teleportation of an arbitrary two-atom entangled state |ϕ〉12 = a|gg〉12 + b|ge〉12 + c|eg〉12 + d|ee〉12 in driven QED. Two pairs of maximally two-atom entangled state are required as the quantum channel. This scheme does not involve apparent (or direct) Bell-state measurement and is insensitive to the cavity decay and the thermal field. Meanwhile this approach can be used to teleport the unknown multipartite GHZ state. The probability of success in our scheme can reach 1.0.
We have investigated the problem of teleporting a three-atom entangled W state and propose two schemes based on entanglement swapping to complete the teleportation. We put forward the first scheme for the teleportation of W state by using an EPR pair and a GHZ state via vacuum cavities, the second scheme for teleporting W state by using two EPR pairs as quantum channels and introducing an addition atom via thermal cavities. Further more, the distinct advantage of the present schemes are that the Bell-state measurement is not required. The effects of cavity decay and thermal field are all eliminated.
In this paper, we propose a protocol for teleportation of two unknown atomic states using non-maximally entangled states. We consider teleportation for atomic entangled states in cavity quantum electrodynamics (QED). Through analysis, we conclude that it could be succeed without joint BSM (Bell-State measurement). One BSM can be exactly converted into two separate atomic measurements on the two relevant atoms only by one step using the interaction between the atoms and atoms in the cavity. The most remarkable advantage of our scheme is that the teleportation and distillation procedure can be carried out concurrently. Suppose that the cavity mode is prepared in vacuum state. We can utilize the Hamiltonian for the system, discussing how to make teleportation successful. And we discuss the probability of reconstructing the initial state. We consider two identical two-level atoms simultaneously interacting with a single-mode cavity field. There is no energy exchange between the atomic system and the cavity, so we use the detuned interaction between atoms and atoms in cavity in the scheme which is insensitive to both the cavity decay and the thermal field. For the resonant cavity, in order to realize the teleportation successfully, the relationship between the teleportation time and the excited atom lifetime should take into consideration. The time required to complete the teleportation should much shorter than that of atom radiation. Hence, atom with a sufficiently long excited lifetime should be chosen. The discussion of the scheme indicates that it can be realized by current technologies.