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Journal of Jiangxi Normal University

Controlled Teleportation of a Two-Particle Entangled State Through a Cluster State Channel

Song-Song Li

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

A general scheme for controlled teleportation of an unknown two-qubit entangled state with four-qubit cluster state is proposed.The sender performs a measurement by three particles entangled basis on her own three qubits and the controller needs also take a local measurement.The receiver can reconstruct the unknown state teleported by the sender by performing appropriate unitary operations on his particles if he cooperates with the controller,then the controlled teleportation is accomplished.

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A general scheme for controlled teleportation of an unknown two-qubit entangled state with four-qubit cluster state is proposed.The sender performs a measurement by three particles entangled basis on her own three qubits and the controller needs also take a local measurement.The receiver can reconstruct the unknown state teleported by the sender by performing appropriate unitary operations on his particles if he cooperates with the controller,then the controlled teleportation is accomplished.
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.
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%.
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.
Two schemes for teleporting an unknown two-particle entangled state via a four-qubit non-maximally entangled cluster state as quantum channel are proposed.In the first scheme,a special bipartite entangled state was teleported,the receiver Bob can reconstruct the original state with a certain probability according to the sender Alice's measurement results,and the successful probability is determined by the smallest two coefficients' absolute values of the cluster state.In the latter scheme an arbitrary two-particle entangled state was teleported.Contrast to the first scheme, Bob should perform a quantum controlled phase gate operation besides the unitary transformation. The considerable advantage is that it employs a non-maximally entangled cluster state as quantum channel in these two schemes.Thus,the schemes can greatly reduce the amount of entanglement resources and need less classical bits.