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Chinese Physics

Probabilistic teleportation of an unknown N -atom state using a two-atom nonmaximally entangled state in cavity QED

Lin Xiu, Hongcai Li, Rong‐Can Yang

Published Feb 26, 2007• 4 citations
Publisher

Abstract

We present a scheme for realizing probabilistic teleportation of an unknown N -atom state via cavity QED. This scheme requires only a nonmaximally entangled pair to be used as a quantum channel, so the requirement of entanglement is reduced. In addition, our scheme does not involve the Bell-state measurement and is insensitive to the cavity decay, which is important from the experimental point of view. If the quantum channel is a two-atom maximally entangled state, teleportation of an unknown N -atom state can be realized by a simpler scheme via cavity QED.

DOI
10.1088/1009-1963/16/3/011

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We present a scheme for realizing probabilistic teleportation of an unknown N -atom state via cavity QED. This scheme requires only a nonmaximally entangled pair to be used as a quantum channel, so the requirement of entanglement is reduced. In addition, our scheme does not involve the Bell-state measurement and is insensitive to the cavity decay, which is important from the experimental point of view. If the quantum channel is a two-atom maximally entangled state, teleportation of an unknown N -atom state can be realized by a simpler scheme via cavity QED.
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.
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.