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Journal of Jiangxi Normal University

Controlled Hierarchical Quantum Communication of an Unknown Two-Qubit Entangled State

Wang Zuo-don

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

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.

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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 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 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.
A new scheme for controlled teleportation of an arbitrary single-qubit state is proposed in detail,using a six-qubit cluster state as quantum channel.For an arbitrary single-qubit state,the sender performs a joint von Neumann measurement on the five qubits of his own,and the controller performs a single-qubit projective measurement,then the receiver can reconstruct the arbitrary single-qubit state by performing some appropriately unitary transformations on his qubit after he knows the measurement results of both the sender and the controller.The probability of the success of the program is 100%.
A new application of the six-qubit cluster state introduced recently by Lu Chao-yang is investigated for quantum information splitting(QIS) of an arbitrary two-qubit state.For QIS,the sender needs to perform five-qubit joint von-Neumann measurement on her qubits,and the controller needs to perform a single-qubit projective measurement on his qubit,then the receiver can reconstruct the arbitrary two-qubit state by performing some appropriately unitary transformations on his qubits after he knows the measured results of both the sender and the controller.The probability of success of the program is 100%.
Quantum teleportation is a unique quantum information processing method in quantum communication. Researchers have shown considerable interest in hierarchically controlled teleportation by using quantum entangled states as the quantum channel. Protocols for the hierarchically controlled teleportation of an arbitrary single-qubit via a four-qubit χ state and a four-qubit cluster state have been proposed. We present a protocol for the hierarchically controlled teleportation of an arbitrary m-qudit (d-dimensional quantum system) state by using a partially entangled quantum state as the quantum channel. The sender performs m generalized Bell-state measurements on her 2m particles. To reconstruct the original state, the upper-grade receiver only needs to apply a unitary operation in accordance with one of the receivers’ measurement results, and the lower-grade receivers need to perform a unitary operation according to all the other receivers’ measurement results. The receivers can reconstruct the original state probabilistically by introducing an auxiliary qubit and performing a collective unitary transformation. The protocol has the advantage of having high channel capacity by using a high-dimensional entangled state as the quantum channel.