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Journal of Jiangxi Normal University

Based on Four-Qubit Cluster State Secretly Shared by Three Parties to Realize Controlled Teleportation of Three-Qubit State

叶志清 YE Zhi-qing

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

A scheme for controlled teleportation of an unknown three-qubit state using two four-qubit cluster states which are shared by a sender,a receiver and a controller as the quantum channel is proposed in detail.In the scheme,the sender(Alice) performs Bell-state measurement(BSM) on her qubits three times and then tells the receiver(Bob) and the controller(Charlie) her measured results via a classical channel.If the controller agrees the receiver to reconstruct the unkown quantum state,he performs the BSM on his qubits and tells the receiver his measured result.According to the results from both the sender and the controller,the receiver could reconstruct the unkown three-qubit state by performing some appropriately unitary transformations on his qubits.Thus the con-trolled teleportation of an unknown three-qubit state is achieved.

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A scheme for controlled teleportation of an unknown three-qubit state using two four-qubit cluster states which are shared by a sender,a receiver and a controller as the quantum channel is proposed in detail.In the scheme,the sender(Alice) performs Bell-state measurement(BSM) on her qubits three times and then tells the receiver(Bob) and the controller(Charlie) her measured results via a classical channel.If the controller agrees the receiver to reconstruct the unkown quantum state,he performs the BSM on his qubits and tells the receiver his measured result.According to the results from both the sender and the controller,the receiver could reconstruct the unkown three-qubit state by performing some appropriately unitary transformations on his qubits.Thus the con-trolled teleportation of an unknown three-qubit state is achieved.
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%.
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 order to complete the quantum teleportation,we propose a quantum teleportation scheme of arbitrary twoqubit cluster state by using a four-qubit cluster state based on quantum entanglementphenomenon in this paper. In this scheme,the sender and the receiver share a four-qubit cluster state. The sender first performs a joint von-Neumann measurement on the qubits in his hand. And he sends the measurement results to the receiver through the classical channel. The receiver performs corresponding unitary operation according to the measurement results he received. In the process of this communication,the sender does not tell the original arbitrary two-qubit cluster state to the receiver,but he reconstructs the arbitrary two-qubit state. The quantum teleportation comes true through these processes and the mutual communication is completed.
A new application of the five-qubit cluster state is investigated for economic and simple controlled teleportation of an arbitrary two-qubit state.In this scheme,a five-qubit cluster state is shared by a sender(Alice),a controller(Charlie)and a receiver(Bob),and the sender only needs to perform Bell-state measurements and the controller performs a single-qubit projective measurement.The receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knows the measured results of both the sender and the controller.This controlled teleportation scheme is deterministic,and the probability of successful controlled teleportation is 100%.In comparison with the controlled teleportation scheme using the same quantum channel,the proposed scheme do not need to make multi-particle joint measurement that makes this scheme simpler.
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%.