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Journal of Jiangxi Normal University

Quantum Teleportation of Four-Particle Cluster State

Yi Xiao-Jie

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

We investigate a process of quantum teleportation that Alice teleports an unknown four-particle entangled cluster state to a distance receiver Bob through four two-particle the most entangled state quantum channels.As the property of four-particle cluster state,the receiver Bob can receive the unknown state coming from Alice only to implement 64 kinds of local unitary transformations,there-by quantum teleportation of four-particle cluster state can be realized.

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We investigate a process of quantum teleportation that Alice teleports an unknown four-particle entangled cluster state to a distance receiver Bob through four two-particle the most entangled state quantum channels.As the property of four-particle cluster state,the receiver Bob can receive the unknown state coming from Alice only to implement 64 kinds of local unitary transformations,there-by quantum teleportation of four-particle cluster state can be realized.
Two schemes of teleporting an unknown three-particle entangled state from the sender (Alice) to the receiver (Bob) are proposed. In both schemes, a four-particle maximally entangled cluster state and a four-particle non-maximally entangled cluster state are used quantum channel, respectively. It is shown that if the quantum channel is the maximally entangled cluster state, the unknown three-particle entangled state can be teleported perfectly with the successful probability is 1; if the quantum channel is the non-maximally entangled cluster state, the probability of successful teleportation is determined by two smaller superposition coefficients.
Abstract A quantum channel using two four-qubit cluster states was constructed and the controllable quantum teleportation of an unknown four-qubit W state via this channel was investigated. After three Bell-basis measurements, a Hadamard operation, and two single-qubit projective measurements of the sender Alice and controller Charlie, the recorded measurement results are sent to the receiver Bob via a classical channel. Bob then performs the associated unitary transformation based on the received classical information, after which the unknown four-qubit W state can be teleported with success probability 100%.
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.