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Physica Scripta

Secure networking quantum key distribution schemes with Greenberger–Horne–Zeilinger states

Ying Guo, Ronghua Shi, Guihua Zeng

Published Mar 22, 2010• 15 citations
Publisher

Abstract

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.

DOI
10.1088/0031-8949/81/04/045006

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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.
An encryption-based networking quantum teleportation scheme is proposed for the secure quantum communication network based on the novel networking quantum key distribution (NQKD) with the Greenberger–Horne–Zeilinger (GHZ) state. The security is exactly guaranteed via the entanglement of the GHZ quantum system. In the process of quantum teleportation, the server Charlie prepares the GHZ states and the users exploit the four local unitary operations corresponding to the keys shared aforehand to encrypt/decrpt for the initial messages. One legal user can communicate with another on the network securely as they may perform a quantum privacy application on the encrypted quantum states transmitted in quantum channel. Its intrinsic efficiency is high as almost all the instances are useful and each GHZ state can carry two different encrypted single-qubit states. To reconstruct these transmitted messages, the users exploit Bell measurement and perform local operations with respect to the shared keys in NQKD, which will improve its security in a 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.
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.
We propose a scheme for secure quantum message exchanging network following the idea in entanglement swapping. In this scheme, the servers of the network provide the service for preparing the Greenberger-Horne-Zeilinger (GHZ) entangled states as quantum channels. For preventing the eavesdropping, a security checking method is suggested. After the security check, anyone of the authorized users can exchange his/her messages with another on the network securely and directly.   Key words: Quantum secure direct communication, entanglement swapping, quantum communication network PACS.
Conventional Quantum Key Distribution (QKD) methods require too many qubit transmission between end points. As the capacity of quantum network is limited, it is important to develop more efficient methods. In this work, we propose a Multi-Qubit Greenberger-Horne-Zeilinger (GHZ) State-based QKD scheme that uses single qubit transmission and Quantum Nondemolition (QND) measurements to transmit multiple classical bits. We show that we can transfer N-1 classical bits by generating an N-qubit GHZ state and transmitting one of the GHZ qubits,