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Modern Physics Letters B

Hierarchical controlled quantum teleportation

Xin-Wei Zha, Ning Miao

Published Sep 27, 2019• 15 citations
Publisher

Abstract

This paper describes a hierarchical controlled quantum teleportation scheme of arbitrary two-qubit based on an eight-particle maximum entanglement state among four parties, one sender and three receivers. In order to prevent the infidelity of the receivers, secret state will be purposefully split and sent to the three receivers. According to the noncloning theorem, only one of the three receivers can recover secret state and the high authorized receiver that recovers the information only requires the cooperation of one of the remaining two receivers. On the contrary, the low authorized party that recovers the secret state requires the cooperation of all remaining receivers.

DOI
10.1142/s0217984919503561

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This paper describes a hierarchical controlled quantum teleportation scheme of arbitrary two-qubit based on an eight-particle maximum entanglement state among four parties, one sender and three receivers. In order to prevent the infidelity of the receivers, secret state will be purposefully split and sent to the three receivers. According to the noncloning theorem, only one of the three receivers can recover secret state and the high authorized receiver that recovers the information only requires the cooperation of one of the remaining two receivers. On the contrary, the low authorized party that recovers the secret state requires the cooperation of all remaining receivers.
Abstract This article proposes an asymmetric bidirectional hierarchical quantum teleportation protocol, which is based on a quantum channel composed of a maximum of eight-qubit entangled state. With this method, Alice can transmit an unknown single-qubit state to Bob, meanwhile, Bob can transmit an arbitrary unknown two-qubit quantum state to Alice. As a sender with high authority, Bob can send any unknown two-qubit quantum state to Alice only under the sole control of the controller Charlie; Alice, as a sender with low-level permissions, if Bob intends to receive the unknown single-qubit quantum state sent by Alice, he must get the permission and assistance of Charlie and David to complete the communication.
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.
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.
We present a way to teleport multiqubit quantum information from a sender to a distant receiver via the control of many agents in a network. We show that the original state of each qubit can be restored by the receiver as long as all the agents collaborate. However, even if one agent does not cooperate, the receiver cannot fully recover the original state of each qubit. The method operates essentially through entangling quantum information during teleportation, in such a way that the required auxiliary qubit resources, local operation, and classical communication are considerably reduced for the present purpose.
We present a way to teleport multi-qubit quantum information from one place to a distant receiver via the control of many agents in a network. We show that the original state of each qubit can be restored by the receiver as long as all the agents collaborate; however, if even one agent does not cooperate, in general the receiver can not fully recover the original state of each qubit. The method presented here operates essentially through entangling quantum information during the teleportation, in such a way that the required auxiliary qubit resources, local operation, and classical communication are considerably reduced for the present purpose