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Journal of Jishou University

Teleportation of Arbitrary Three-Particle GHZ State Using Four-Particle GHZ State

Zhou Xiao-Qing

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Quantum teleportation plays an important role in the field of quantum information.For reduced number of entangled states as quantum channels,the authors execute the entanglement of four particle from the two EPR states by polarization beam splitter,and use it as quantum channels to realize quantum teleportation of a three-particle entangled GHZ state.

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Journal of Experimental and Theoretical Physics Letters•Feb 1, 2005•3 citations
Quantum teleportation plays an important role in the field of quantum information.For reduced number of entangled states as quantum channels,the authors execute the entanglement of four particle from the two EPR states by polarization beam splitter,and use it as quantum channels to realize quantum teleportation of a three-particle entangled GHZ state.
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.
A scheme for teleporting an arbitrary and unknown three-particle state from a sender to either one of two receivers through a three-particle entangled GHZ state and two two-particle entangled states as quantum channel is proposed. Firstly,the maximally entangled states are taken as quantum channels,then,the case of non-maximally entangled channels is considered.When the channels are non-maximally entangled states,by introducing an ancillary qubit and constructing an unitary transformation properly,teleportation of an arbitrary three-particle state can be implemented with the probability of 8｜bdf｜~2.
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.
We present a model to realise a probabilistic quantum teleportation of two-particle mode entangled state through the four-photon quantum channel. Four modes of the two-photon mode entangled state are directly transferred to other spatial four modes of the quantum channel with success probability of 50%. The quantum protocol operates in space of photon number states. A Bell state measurement with four beam splitters and four pairs of detectors in the teleportation protocol is accomplished in the fourfold coincidence basis.