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Communications in Theoretical Physics

Teleportation with Tripartite Entangled State via Thermal Cavity

Zheng‐Yuan Xue, You-Min Yi, Zhuo‐Liang Cao

Published Aug 1, 2006• 0 citations
Publisher

Abstract

Teleportation schemes with a tripartite entangled state in cavity QED are investigated. The schemes do not need Bell state measurements and the successful probabilities reach optimality. In addition, the schemes are insensitive to both the cavity decay and the thermal field. We first consider two teleportation schemes via a tripartite GHZ state. The first one is a controlled one for an unknown single-qubit state. The second scheme is teleportation of unknown two-atom entangled state. Then we consider teleporting of single-qubit arbitrary state via a tripartite W state.

DOI
10.1088/0253-6102/46/2/008

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Teleportation schemes with a tripartite entangled state in cavity QED are investigated. The schemes do not need Bell state measurements and the successful probabilities reach optimality. In addition, the schemes are insensitive to both the cavity decay and the thermal field. We first consider two teleportation schemes via a tripartite GHZ state. The first one is a controlled one for an unknown single-qubit state. The second scheme is teleportation of unknown two-atom entangled state. Then we consider teleporting of single-qubit arbitrary state via a tripartite W state.
Quantum teleportation plays a crucial role in quantum information science to date,lots of schemes have been proposed for teleportation.However,in practice,there are many difficulties,such as: the preparation of EPR pairs,the joint Bell measurement,the effects of thermal field and cavity decay.In this(paper),we introduce a single-mode cavity,where the maximally entangled states of atoms 4,5,atoms 6,7,and atoms 8,9 could be prepared,from the form of the effective Hamiltonian.The effects of thermal field and cavity decay are all eliminated.Futhermore,we propose a scheme for teleportation of an unknown tripartite W state in cavity QED.We find that the joint Bell measure is not necessary,and the total success probability can reach 1 in the teleportation process.
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.
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.