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Communications in Theoretical Physics

Schemes for Probabilistic Teleportation of a Three-Atom GHZ Class State via Cavity QED

YI-CAI WANG, Liu Jin-Ming

Published Sep 1, 2007• 3 citations
Publisher

Abstract

Using a quantum channel composed of a two-atom and a three-atom nonmaximally entangled states, we present two schemes to teleport a three-atom GHZ class state via entanglement swapping in cavity QED with different success probabilities. The schemes can be respectively realized with the large-detuned vacuum cavities and with the large-detuned thermal cavities by separate atomic measurements after we choose appropriate atom-cavity-field interaction time.

DOI
10.1088/0253-6102/48/3/010

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Using a quantum channel composed of a two-atom and a three-atom nonmaximally entangled states, we present two schemes to teleport a three-atom GHZ class state via entanglement swapping in cavity QED with different success probabilities. The schemes can be respectively realized with the large-detuned vacuum cavities and with the large-detuned thermal cavities by separate atomic measurements after we choose appropriate atom-cavity-field interaction time.
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 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.
The article discusses a probability teleportation scheme for an unknown single-atom state and an unknown two-atom entangled state via a tripartite nonmaximally entangled GHZ state in cavity QED.In the process of teleportation of quantum states we have to introduce an ancillary qubit to solve quantum state distortion problems caused by the use of nonmaximally entangled quantum channel.In this scheme,the two identical two-level atoms simultaneously interact with a single-mode cavity and are driven by a strongly classical field.The atomic state evolution is independent of the cavity field state and not affected by the cavity decay and the thermal field.
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.