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Jiangxi kexue

Controlled Quantum Communication of an Unknown Two-Qubit Entangled State

Wang Zuo-don

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

A scheme of multi-party controlled quantum communication of an unknown two-qubit entangled state by using a seven-qubit cluster state as the quantum channel is proposed. In the scheme, the sender set a controller,the controller can not receive the unknown two-qubit entangled state,but he can help the receiver reconstruct the unknown state with the sender. The sender needs to perform a joint von-Neumann measurement on her four qubits,and the controller measures his qubit in the computational basis. The receiver according to the results of two measurement can reconstruct the unknown state by performing appropriate unitary operations. We can set the number of the receiver,and they are constrained by the controller,so as to realize multi-party controlled quantum communication.

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Journal of Jiangxi Normal University•Jan 1, 2012•0 citations
A scheme of multi-party controlled quantum communication of an unknown two-qubit entangled state by using a seven-qubit cluster state as the quantum channel is proposed. In the scheme, the sender set a controller,the controller can not receive the unknown two-qubit entangled state,but he can help the receiver reconstruct the unknown state with the sender. The sender needs to perform a joint von-Neumann measurement on her four qubits,and the controller measures his qubit in the computational basis. The receiver according to the results of two measurement can reconstruct the unknown state by performing appropriate unitary operations. We can set the number of the receiver,and they are constrained by the controller,so as to realize multi-party controlled quantum communication.
A scheme of controlled hierarchical quantum information of an unknown two-qubit entangled state by using a six-qubit cluster state as the quantum channel is proposed. Because of their different level of trust by the sender,different receivers have different ability to recover the unknown state. The sender needs to perform a joint von-Neumann measurement on her three qubits,controller according to different receivers take a local measurement or a join measurement. After received the two measurements,the receiver can reconstruct the unknown state by performing appropriate unitary operations,then this controlled hierarchical quantum communication 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 scheme is presented for quantum information splitting of an unknown two-particle entangled state by using five-particle cluster state as the quantum channel.The sender(Alice),the receiver(Bob) and the controller(Charlie) share the quantum channel.The sender Alice sends the quantum information to the receiver Bob,anyone can not obtain the quantum information,unless they cooperate with each other.The receiver can reconstruct two-particle entangled state by performing appropriate unitary transformations on his qubits after the sender and controller perform the appropriate measurements on their qubits.respectively.
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 quantum teleportation of an arbitrary two-qubit state by using a five-qubit cluster state as the quantum channel is proposed.In the scheme,the sender needs to perform five-qubit joint von-Neumann measurement on her qubits,the receiver can reconstruct the arbitrary two-qubit by performing some appropriately unitary transformations on his qubits after he knows the measured results of the sender.This teleportation scheme is deterministic,and the probability of successful teleportation is 100%.