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ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing (SNPD)

Quantum network based on multiparty quantum secret sharing

Hongyang Ma, Bingquan Chen

Published Jul 1, 2007• 5 citations
Publisher

Abstract

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.

DOI
10.1109/snpd.2007.348

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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 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
The paper designs a mutual quantum secure direct communication scheme,which shared a sequence of single photons and greenberger-horne-zeilinger(GHZ states) in the quantum networks.S1,S2,…,Sn-1 members in cluster S directly encode their respective keys on the states of single photons;then generalizes this situation transmit to the last one of the cluster.Sn encodes the secret message directly on a sequence of particle states and transmits them to D1,D2,…,Dn supervised via one of the cluster M.It proves that it is unconditionally secure.
In this paper, we present an (n, n) threshold quantum secret sharing scheme of secure direct communication using Greenberger-Horne-Zeilinger state. The present scheme is efficient in that all the Greenberger-Horne-Zeilinger states used in the quantum secret sharing scheme are used to generate shared secret messages except those chosen for checking eavesdropper. In our scheme, the measuring basis of communication parties is invariable and the classical information used to check eavesdropping needs only the results of measurements of the communication parties. Another nice feature of our scheme is that the sender transmit her secret messages to the receivers directly and the receivers recover the sender's secret by combining their results, different from the QSS scheme whose object is essentially to allow a sender to establish a shared key with the receivers. This feature of our scheme is similar to that of quantum secret direct communication.
We present an ( n , n ) threshold quantum secret sharing scheme of secure direct communication using Greenberger–Horne–Zeilinger state and teleportation. After ensuring the security of the quantum channel, the sender encodes the secret message directly on a sequence of particle states and transmits it to the receivers by teleportation. The receivers can recover the secret message by combining their measurement results with the sender's result. If a perfect quantum channel is used, our scheme is completely secure because the transmitting particle sequence does not carry the secret message. We also show our scheme is secure for noise quantum channel.
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.