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Journal of Atomic and Molecular Physics

Teleportation of an arbitrary three-atom W state through two entangled pairs

Yan Li

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

A scheme for teleporting a three-atom entangled Wstate is proposed,in which the quantum channels are composed of two EinsteinPodolsky-Rosen(EPR) pairs,and that can be popularized to teleport an arbitrary N-atom(N≥4) Wstate.Two ways of carrying out the proposal are investigated,and a new thought of teleportation,disentangle-teleport-reconstruct entanglement,is given.The fidelity of teleportation,when the quantum channels are affected by noise,is studied.The result reveals that the fidelity of teleportation is not only related to the entanglement of channel but also to the concurrence of reduced density matrix of certain subsystem of delivered state,when the quantum channels with two maximal entanglement pairs are affected by noise.Besides,compared with previous schemes,this scheme has advantages,such as easily operating and saving entanglement resources of quantum channels.

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理论物理通讯:英文版•Jan 1, 2004•0 citations
A scheme for teleporting a three-atom entangled Wstate is proposed,in which the quantum channels are composed of two EinsteinPodolsky-Rosen(EPR) pairs,and that can be popularized to teleport an arbitrary N-atom(N≥4) Wstate.Two ways of carrying out the proposal are investigated,and a new thought of teleportation,disentangle-teleport-reconstruct entanglement,is given.The fidelity of teleportation,when the quantum channels are affected by noise,is studied.The result reveals that the fidelity of teleportation is not only related to the entanglement of channel but also to the concurrence of reduced density matrix of certain subsystem of delivered state,when the quantum channels with two maximal entanglement pairs are affected by noise.Besides,compared with previous schemes,this scheme has advantages,such as easily operating and saving entanglement resources of quantum channels.
Two schemes, using respectively the single three-particle maximal Greenberger-Horne-Zeilinger (GHZ) state and the two Einstein-Podolsky-Rosen (EPR) states as quantum channels, for deterministic teleportation of arbitrary three-particle GHZ state are proposed. These schemes are also generalized into the case of teleportation of arbitrary n-particle GHZ state (n≥4). The fidelity of teleportation when the quantum channels are affected by noise is discussed. It is found that when using single three-particle GHZ state which is affected by noise as quantum channel, the fidelity of teleportation is only related to the entanglement of the channel. However, when using two EPR states which is affected by noise as quantum channels, the fidelity of teleportation is related to the entanglement of both the channels and the unknown state to be delivered. Compared with previous proposals, our schemes require a reduced number of entangled states as quantum channels to achieve the same task.
The paper has proposed a scheme for the teleportation of arbitrary three-particle entangled W state only using two pairs of non-maximally two-particle entangled state as quantum channels.Compared with previous proposals,this scheme weakens the requirement of quantum channels and saves the resource of entanglement.For two-particle entangled state is more easily obtained than any other three-particle entangled state,the present scheme is worthy of being referred in the quantum teleportation theory and experiment.
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.
Recently, there is much interest in the study of quantum teleportation. Its marvelous security property makes it particularly attractive as potential means for future communication. Uncertain principal and no-cloning theories of quantum mechanics forbid exact copy of quantum states. To solve the problem, quantum teleportation devides message state into two parts: classical message and quantum message which are transmitted through relevant classical and quantum channels from a sender Alice to a distant receiver Bob, respectively. According to both message states, Bob can recover the original message state with certain possibility. Utilizing the general quantum teleportation protocol, in this scheme, a new method is presented by which multi-qubit quantum information can be teleported in a much easier way. It has been extended to teleportation of an arbitrary N-qubit state via entanglement swapping and probabilistic teleportation is investigated as well, which has a more general meaning. N non-maximally entangled triplet GHZ states (Greenberger-Home-Zeilinger), taking the place of the previous EPR states (Einstein-Podolsky-Rosen), serve as quantum channels, which avoids introducing extra auxiliary qubit. In order to complete the teleportation, Alice has to devide all qubits into N parts and make Bell-State measurement on qubit pair (i, x(subscript i)) and tell Bob the measurement result through classical channel, then Bob perform some simple local operations on qubits (y(subscript i), z(subscript i)) to finish teleporting the i-th qubit. Conditioned on N-times similar repeat, Bob can faithfully reconstruct the initial state. Results show that, in this method, the identification difficulty of entangled states is considerably reduced, the new method is more feasible in technique. And the total possibility of successful teleportation is (The equation is abbreviated). As a special case, teleportation of an arbitrary two-qubit state is proposed.