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Journal of Atomic and Molecular Physics

Teleportation of an arbitrary three-atom W state with cluster state

Yan Li

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

A scheme for teleportation of an unknown three-atom entangled W state is proposed,in which a cluster state of four identical two-level atoms is used as quantum channel.It is proved that,an arbitrary three-atom entangled W state can be teleported perfectly by introducing an additional atom and performing a collective unitary transformation as well as appropriate single-atom unitary transformations on the receiver's side based on the classical information of the sender.In the scheme,the effects of the thermal field and the cavity decay are eliminated.Furthermore,the Bell measurements are not needed,and the successful probability of teleportation is 1.

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A scheme for teleportation of an unknown three-atom entangled W state is proposed,in which a cluster state of four identical two-level atoms is used as quantum channel.It is proved that,an arbitrary three-atom entangled W state can be teleported perfectly by introducing an additional atom and performing a collective unitary transformation as well as appropriate single-atom unitary transformations on the receiver's side based on the classical information of the sender.In the scheme,the effects of the thermal field and the cavity decay are eliminated.Furthermore,the Bell measurements are not needed,and the successful probability of teleportation is 1.
A scheme for probabilistic teleportation of an unknown three-atom entangled state via a five-atom non-maximally entangled cluster state as quantum channel is proposed. In this scheme, the sender performs two Bell state and a single-atom measurements on the atoms, the receiver can reconstruct the original state with a certain probability by introducing an auxiliary atom and operating appropriate unitary transformations and controlled-not (C-not) operations according to the sender Alice's measurement results. As a result, the probability of successful teleportation is determined by the smallest two of the coefficients' absolute values of the cluster state. The considerable advantage of our scheme is that we employ a non-maximally entangled cluster state as quantum channel in the scheme, which can greatly reduce the amount of entanglement resources and need less classical bits. If we employ a maximally entangled cluster state as quantum channel, the probabilistic teleportation scheme becomes usual teleportation, the successful probability being 100%.
A scheme for teleporting an arbitrary three-particle W state from a sender to either of the two receivers is proposed,where the three three-particle W states quantum channel are taken as quantum channels.There are two ways to realize the intention of teleportation.It is proved that,for such maximally entangled quantum channels,there is still a certain probability of successful teleportation if the sender performs three generalized Bell-state measurements while either of the two receivers performs an appropriate unitary transformation with the help of the other suitable measurements in the basis of {|0,|1} and classical information;on the other hand,the probability of successful teleportation is not affected by the order of operations.The present scheme may be directly generalized to teleport an unknown N-particle W state from a sender to either of the two receivers by using N W states as quantum channels,as well as performing N Bell measurements.
A scheme for teleportation of an arbitrary two-qubit state using a four-qubit linear cluster-class state is proposed.Quantum teleportation can be successfully realized with a certain probability if the receiver can adopt an appropriate collective unitary transformation after receiving the sender's Bell-state measurement information.The scheme is more practical than previous ones using maximally entangled states as the quantum channel.In addition,an important conclusion is obtained from the above scheme that a maximally four-qubit entangled state(cluster state)is extracted from a single copy of the cluster-class state with the same probability as the teleportation.
A scheme for teleporting an unknown two two-level atoms entangled state via four identical two-level atoms non-maximally entangled Cluster state as quantum channel is proposed.In the scheme,the receiver Bob can reconstruct the original state with a certain probability by introducing an auxiliary atom and operating unitary transformations according to the sender Alice′s measurement results,and the successful probability is determined by the smallest two coefficients′ absolute values of the Cluster state.The considerable advantage of the scheme is that a non-maximally entangled Cluster state is employed as quantum channel,thus,the scheme can greatly reduce the amount of entanglement resources and need less classical bits.If a maximally entangled Cluster state is employed as quantum channel,the probabilistic teleportation scheme becomes usual teleportation,of which the successful probability is 100%.
This paper proposes a scheme for implementing the teleportation of an arbitrary unknown two-atom state by using a cluster state of four identical 2-level atoms as quantum channel in a thermal cavity. The two distinct advantages of the present scheme are: (i) The discrimination of 16 orthonormal cluster states in the standard teleportation protocol is transformed into the discrimination of single-atom states. Consequently, the discrimination difficulty of states is degraded, (ii) The scheme is insensitive to the cavity field state and the cavity decay for the thermal cavity is only virtually excited when atoms interact with it. Thus, the scheme is more feasible.