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Journal of Shanghai Dianji University

Teleportation of Four Particle Cluster State Using GHZ State and EPR State

Junwei Yu

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

We propose a theoretical scheme for teleportation of four-particle cluster state using a three-particle Greenberger Horne Zeilinger(GHZ) states and two Einstein Podolsky Rosen(EPR) states as a quantum channel.Alice processes the particles using 3 Bell-basis measurements and a projection measurement.The entangled relation of the 4 particles is established on the Bob side.According to the measurements resalts,Bob processes these 4 particles using corresponding local unitary transformation,and the cluster state on the Alice side is completely recovered on the Bob side.Finally,teleportation of arbitrary four-particle cluster state is achieved.

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Controlled Teleportation of an Arbitrary Twoparticle State by Using a Fourqubit Cluster State and Entanglement Swapping

刘俊昌 Liu Jun-chang, 李渊华 Li Yuan-hua, 聂义友 Nie Yi-you

A new scheme for controlled teleportation of an arbitrary two-particle state is proposed in detail,using a four-particle cluster state as quantum channel and EPR state to achieve control.First of all,the sender applies to the controller,and then the controller performs the Bell-based measurement on the two particles of his own.And the controller notifies the sender to achieve entanglement swapping.Then,the sender makes the appropriate unitary transformation and performs a Newman measurements on the four particles of his own.And the results inform the receiver.According to the sender's measurement results,the receiver can reconstruct the arbitrary two-particle state after he makes the appropriate unitary transformation on his own particles.The success probability of the program is 100%.

ACTA PHOTONICA SINICA•Jan 1, 2010•1 citation
We propose a theoretical scheme for teleportation of four-particle cluster state using a three-particle Greenberger Horne Zeilinger(GHZ) states and two Einstein Podolsky Rosen(EPR) states as a quantum channel.Alice processes the particles using 3 Bell-basis measurements and a projection measurement.The entangled relation of the 4 particles is established on the Bob side.According to the measurements resalts,Bob processes these 4 particles using corresponding local unitary transformation,and the cluster state on the Alice side is completely recovered on the Bob side.Finally,teleportation of arbitrary four-particle cluster state is achieved.
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.
Based on the strong persistency of entanglement of cluster state,two quantum sharing schemes were presented to realize the controlled teleportation of an arbitrarily one-particle using a four-particle cluster state as the quantum channel.In the first scheme,the sender Alice,controller Charlie and receiver Bob share a four-particle cluster entangled state.Firstly Alice performs a three-particle joint VonNeumann measurement on her qubits.Then Charlie performs a quantum measurement on his qubit with Z basis.Finally Bob can reconstruct the shared single particle by doing unitary transformation according to the measured results from Charlie and Bob.In the second scheme,three parties also shared a four-particle cluster state and an auxiliary particle,Alice and Charlie only need Bell state measurements and Bob can get the transmitted state by performing a swap bit flip operation and one unitary transformation.Compared with the existing schemes,the success probability of these both schemes are 100% and the proposed schemes only need 4-particle cluster state as the quantum channel.Furthermore,the proposed schemes can be implemented under the current laboratory techniques.
In this scheme, N non-maximally entangled particle pairs are used as quantum channel to teleport an unknown N -particle entangled GHZ state via entanglement swapping. In order to realize this teleportation, the sender Alice operates Bell-state measurement on particles belonging to herself. Then she informs the results to the receiver Bob through classical communication. According to the results, Bob operates corresponding transformation to reconstruct the initial state. The advantage of this scheme is that it needs only one common unitary matrix for Alice's different results, which has a more general meaning. As a special case, teleporting an unknown three-particle entangled GHZ state is proposed.
A new scheme for controlled teleportation of an arbitrary two-particle state is proposed in detail,using a four-particle cluster state as quantum channel and EPR state to achieve control.First of all,the sender applies to the controller,and then the controller performs the Bell-based measurement on the two particles of his own.And the controller notifies the sender to achieve entanglement swapping.Then,the sender makes the appropriate unitary transformation and performs a Newman measurements on the four particles of his own.And the results inform the receiver.According to the sender's measurement results,the receiver can reconstruct the arbitrary two-particle state after he makes the appropriate unitary transformation on his own particles.The success probability of the program is 100%.