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Network and Parallel Computing

A Group Quantum Communication Network Using Quantum Secret Sharing

Hongyang Ma, Zhongwen Guo

Published Oct 1, 2008• 3 citations
Publisher

Abstract

Quantum Key Distribution (QKD) is an ingenious application of quantum mechanics in information field. In this paper, it provides a novel algorithm for three group to establish a quantum key over a long distance. The slaves node send qubits to the master node in the first group and the three master nodes in the three groups share Greenberger-Horne-Zeilinger (GHZ), send qubits to one of slave nodes in group 3. Compared with the classical network architecture, it is proved in theory that an eavesdropper (Eve) invariably introduce errors within communication network if it wants to gain useful information. The nodes must find Eve to guarantee the security of the network.

DOI
10.1109/npc.2008.42

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Quantum Key Distribution (QKD) is an ingenious application of quantum mechanics in information field. In this paper, it provides a novel algorithm for three group to establish a quantum key over a long distance. The slaves node send qubits to the master node in the first group and the three master nodes in the three groups share Greenberger-Horne-Zeilinger (GHZ), send qubits to one of slave nodes in group 3. Compared with the classical network architecture, it is proved in theory that an eavesdropper (Eve) invariably introduce errors within communication network if it wants to gain useful information. The nodes must find Eve to guarantee the security of the network.
The quantum secret sharing scheme can be implemented within realistic,highly secure multi-user communication network,using Greenberger Horne Zeilinger(GHZ) states.The quantum communication network marries a variety of GHZ states to well establish the secure key distribution system employed in conjunction with the nodes and control centers.Compared with the classical quantum cryptography,it is theoretically proved that an eavesdropper Eve invariably introduces errors within communication network if she wants to gain useful information.The nodes and control centers must find Eve to guarantee the security of the network.
According to the shortcoming of the classical quantum cryptography with ERP states,how this quantum-secret-sharing scheme is implemented within realistic,highly secure multi-user communication network is presented,using greenberger-horne-zeilinger(GHZ) states.The quantum communication network marries a variety of GHZ states to well established internet technology in order to build a secure key distribution system employed in conjunction with the nodes and control centers.In communication network,eavesdropper Eve transmit with three party,useful information is gain,the errors is introduced.The nodes and control centers can find Eve,the security of multi-user quantum network is ensured.
A novel approach to quantum cryptography to be called NQKD, networking quantum key distribution, has been developed for secure quantum communication schemes on the basis of the complementary relations of entanglement Greenberger–Horne–Zeilinger (GHZ) triplet states. One scheme distributes the private key among legal participants in a probabilistic manner, while another transmits the deterministic message with some certainty. Some decoy photons are employed for preventing a potential eavesdropper from attacking quantum channels. The present schemes are efficient as there exists an elegant method for key distributions. The security of the proposed schemes is exactly guaranteed by the entanglement of the GHZ quantum system, which is illustrated in security analysis.
In this paper, we develop a quantum network with a mutual quantum secure direct communication scheme based on multiparty quantum secret sharing. This quantum network, assumed to contain clusters S, M, and D, shares a sequence of single photons and Greenberger–Horne–Zeilinger (GHZ) states. Each cluster is made of the same or similar quantum nodes gathered or occurring closely together. The feature of this scheme is that the communication between two clusters depends on the agreement of the third cluster. We also prove that such a quantum network is unconditionally secure.PACS Nos.: 03.67.–Dd, 03.67.–Hk, 89.70.–a
In this paper we develop a quantum network with a mutual quantum secure direct communication scheme based on multiparty quantum secret sharing. This quantum network, assuming to contain clusters S, M, and D, shares a sequence of single photons and Greenberger-Horne-Zeilinger (GHZ) states. Each cluster is made of the same or similar quantum nodes gathered or occurring closely together. The feature of this scheme is that the communication between two clusters depends on the agreement of the third cluster. We also prove that such a quantum network is unconditionally secure.
In wireless quantum networks, nodes communicate by means of pre-distribution for entangled pairs and relay path establishment for quantum teleportation. However, simple point-to-point communication seriously restricts the efficiency of quantum communication. Inspired by sharing idea of quantum secret sharing (QSS), which is based on three collaborative nodes with pre-shared GHZ (Greenberger-Horne-Zeilinger) states, we propose a quantum secret broadcast scheme to improve network performance. In a cluster net-work cored on three parties of QSS, three cluster heads with pre-shared GHZ states are senders, while cluster members are receivers. One cluster head encodes secret messages on auxiliary particles by performing certain operations on them with GHZ particles, then three cluster heads measure their own par-ticles and broadcast measurement results honestly. Based on the specific correlation of measurement results and secret messages, all receivers can re-cover the secret messages. Furthermore, to prevent eavesdropping, cluster heads can update an encoding key periodically. Analysis shows the proposed scheme is more efficient than previous schemes in wireless quantum net-works, especially when the number of receivers is larger. Besides, in the proposed scheme, attacks on quantum channel based on GHZ state can be detected, and eavesdroppers cannot recover messages correctly for lack of suitable decoding key.