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arXiv:0907.4912 · Laser Physics

Quantum key distribution in terms of the Greenberger-Horne-Zeilinger state: Multi-key generation

Faisal A. A. El-Orany, Mohamed Ridza Wahiddin, M. -A. Mat-Nor, Norziana Jamil, Iskandar Bahari

Published Apr 2, 2010• 10 citations
arXivHTMLPDF

Abstract

In this paper, we develop, a quantum key distribution protocol based on the Greenberger-Horne-Zeilinger states (GHZs). The particles are exchanged among the users in blocks through two steps. In this protocol, for three-particle GHZs three keys can be simultaneously generated. The advantage of this is that the users can select the most suitable key for communication. The protocol can be generalized to N users to provide N keys. The protocol has two levels for checking the eavesdroppers. Moreover, we discuss the security of the protocol against different attacks.

DOI
10.1134/s1054660x10090124

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In this paper, we develop, a quantum key distribution protocol based on the Greenberger-Horne-Zeilinger states (GHZs). The particles are exchanged among the users in blocks through two steps. In this protocol, for three-particle GHZs three keys can be simultaneously generated. The advantage of this is that the users can select the most suitable key for communication. The protocol can be generalized to N users to provide N keys. The protocol has two levels for checking the eavesdroppers. Moreover, we discuss the security of the protocol against different attacks.
Based on the entanglement feature of Greenberger-Horne-Zeilinger states, a multi-user quantum key distribution with mutual authentication is proposed. In the protocol, a semi-trusted third party, who may misbehave on its own but will conspire with none of the participants, is introduced to help arbitrary two users on a quantum network to achieve this secure task. Firstly, the third party prepares a three-particle entangled state. Then, he keeps one particle in his hand, and sends two particles to these two users respectively. Meanwhile, a keyed one-way hash function is utilized to generate an authentication message, in terms of which three parties respectively make an appropriate single-particle measurement on the particles in their hands. According to the measurement results, the third party can verify the identity of one user. It implies that one user is able to authenticate the other user with the assistance of the third party. After that, two participants use the remainder measurement results to generate a common session key. Moreover, the practical implementation of the presented protocol is discussed, which illustrates that this protocol is feasible under the current techniques. In the end, the security of the presented protocol is analyzed. It is shown that this protocol is secure in theory by proving that the presented protocol can stand against several common attacks.
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.
As a multi-particle entangled state, the Greenberger-Horne-Zeilinger (GHZ) state plays an important role in quantum theory and applications. In this study, we propose a flexible multi-user measurement-device-independent quantum key distribution (MDI-QKD) scheme based on a GHZ entangled state. Our scheme can distribute quantum keys among multiple users while being resistant to detection attacks. Our simulation results show that the secure distance between each user and the measurement device can reach more than 280 km while reducing the complexity of the quantum network. Additionally, we propose a method to expand our scheme to a multi-node with multi-user network, which can further enhance the communication distance between the users at different nodes.
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.
Based on the entanglement feature of Greenberger-Horne-Zeilinger states, a multi-user quantum key distribution with mutual authentication is proposed. In the protocol, a semi-trusted third party, who may misbehave on its own but will conspire with none of the participants, is introduced to help arbitrary two users on a quantum network to achieve this secure task. Firstly, the third party prepares a three-particle entangled state. Then, he keeps one particle in his hand, and sends two particles to these two users respectively. Meanwhile, a keyed one-way hash function is utilized to generate an authentication message, in terms of which three parties respectively make an appropriate single-particle measurement on the particles in their hands. According to the measurement results, the third party can verify the identity of one user. It implies that one user is able to authenticate the other user with the assistance of the third party. After that, two participants use the remainder measurement results to generate a common session key. Moreover, the practical implementation of the presented protocol is discussed, which illustrates that this protocol is feasible under the current techniques. In the end, the security of the presented protocol is analyzed. It is shown that this protocol is secure in theory by proving that the presented protocol can stand against several common attacks.