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International Journal of Quantum Information

ENCRYPTION-BASED NETWORKING QUANTUM TELEPORTATION WITH TRIPLET GREENBERGER–HORNE–ZEILINGER STATES

Ying Guo, Guihua Zeng

Published Aug 1, 2010• 2 citations
Publisher

Abstract

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.

DOI
10.1142/s0219749910006459

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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.
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.
A multiparty-controlled teleportation (M-CT) scheme for securely teleporting an arbitrary unknown single-qubit state by using generalised Greenberger-Horne-Zeilinger (GHZ) states is presented in this paper, i.e., a sender, Alice, transmits an arbitrary single-qubit state to a distant receiver, Bob, under approving by all N controllers Charliei(i = 1, 2, …, N) in a quantum communication network. It is proved feasibly and easily to realise by quantum entanglement. The security of proposed scheme is also discussed. We make sure of the security of the quantum channel between the parties by decoy states. This scheme also can be used to share a quantum secret information in quantum secret sharing.
Quantum teleportation faithfully transfers the quantum state of a physical system, instead of the system itself, which underlies the proposal of global quantum communication network. In this paper, we propose a faithful multi-hop quantum communication scheme. In a quantum network, different types of Greenberger-Horne-Zeilinger (GHZ) states are previously shared on quantum links. To implement qubits transmission, the sender and intermediate nodes perform quantum measurements in parallel, and then send their measurement results and the types of previously shared GHZ states to the receiver independently. A general formula is deduced for the receiver, who chooses an appropriate unitary operation to perform on the local particle, the original qubit can be retrieved. Our scheme shows advantages in quantum communication delay.
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.
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.
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.