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Journal of Jiangxi Normal University

To Realize Two-Way Communication of Quantum State Via Four-Qubit Cluster State

Yang You-fen

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

A scheme of using four-qubit cluster state as quantum channel(QC)to convey the quantum state information is proposed to realize two-way communication.In this scenario,two sides of communication,Alice and Bob,share a four-qubit cluster state.In the process of communication,at first,four-qubit cluster state form a whole system with quantum state information two sides have.Then,Alice and Bob perform Bell-state joint measurements to their own part qubits respectively,and tell the measured results to each other via classical channel(CC).Finally,according to the measured results,Alice and Bob make corresponding unitary transformations,hence its own party can reappear the opposite quantum state information.So two-way communication of quantum state information is achieced.

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A scheme of using four-qubit cluster state as quantum channel(QC)to convey the quantum state information is proposed to realize two-way communication.In this scenario,two sides of communication,Alice and Bob,share a four-qubit cluster state.In the process of communication,at first,four-qubit cluster state form a whole system with quantum state information two sides have.Then,Alice and Bob perform Bell-state joint measurements to their own part qubits respectively,and tell the measured results to each other via classical channel(CC).Finally,according to the measured results,Alice and Bob make corresponding unitary transformations,hence its own party can reappear the opposite quantum state information.So two-way communication of quantum state information is achieced.
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 scheme of two-way teleportation is proposed,with Bell entangled state as Quantum Channel(QC).Firstly,two sides of communication(Alice and Bob),share two EPR entangled states.After communication,Alice and Bob perform Bell-state joint measurements to their own qubits respectively,and announce the measured results via Classical Channel(CC).Then according to the measured results,Alice and Bob make relevant unitary transformations,namely,its own party can reproduce the opposite quantum state information,and thus the two-way teleportation is realized.In order to enhance the security of two-way teleportation,and the analysis result indicates that the system′s security will strengthen with the increase of the control particles,but the security will not strengthen when the control particles increase to a certain number.
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.
Consider in an asymmetric scenario that Alice and Bob wish to communicate unequal amount of classical information, we propose an asymmetric quantum dialogue (QD) protocol based on the entanglement swapping between two-qubit bell state and four-qubit cluster state. In this scheme, assume that there are two legitimate participants Alice and Bob. In a dialogue, the information that is delivered by Alice to Bob is twice the amount of her information obtained from Bob. The analysis demonstrates that our protocol is efficient and can meet the requirements of unequal amount of information transmission in a real communication scenario. Moreover, we discuss the security of this protocol and it demonstrates that our protocol could resist an external attack.
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 scheme of two-way teleportation was proposed,with GHZ quadripartite entangled state as quantum channel.Two sides of communication(Alice and Bob) shared two pairs of GHZ quadripartite entangled state in advance.After communication,Alice and Bob performed quantum projection measurement on their own qubits respectively,and announced the measured results via classical channel.Then according to the measured results presented by the other party,Alice and Bob can make appropriate unitary transformations that its own party can reconstruct the opposite quantum state information,and thus the whole two-way teleportation was realized.As long as the both sides of communication chose the suitable GHZ entangled state as quantum channel and distributed the entangled partites imparity and properly in advance,two-way teleporting including unknown general one qubit and two qubits entangled Bell state or three qubits entangled GHZ state could be realized respectively.