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Acta Physica Sinica

Multi-party multi-level quantum key distribution protocol based on entanglement swapping

Yu‐Guang Yang, Wen Qiao-yan, Fu-Chen Zhu, (1)北京邮电大学理学院，北京 100876; (2)现代通信国家级重点实验室，成都 610041

Published Jan 1, 2005• 17 citations
Publisher

Abstract

A multi-party multi-level quantum key distribution protocol based on entanglement swapping is proposed. A perfect complete orthonormal basis of the bi-party three-level systems is first constructed. By using this basis and swapping the entanglement, bi-party quantum key distribution is realized. In addition, three-level can be generalized to multi-level and bi-party to multi-party,i.e., multi-party multi-level quantum key distribution based on entanglement swapping can be achieved. Using entanglement swapping and multi-level key distribution can significantly increase the efficiency of the detection of eavesdropping, the key generation rate and the information flux.

DOI
10.7498/aps.54.5544

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A multi-party multi-level quantum key distribution protocol based on entanglement swapping is proposed. A perfect complete orthonormal basis of the bi-party three-level systems is first constructed. By using this basis and swapping the entanglement, bi-party quantum key distribution is realized. In addition, three-level can be generalized to multi-level and bi-party to multi-party,i.e., multi-party multi-level quantum key distribution based on entanglement swapping can be achieved. Using entanglement swapping and multi-level key distribution can significantly increase the efficiency of the detection of eavesdropping, the key generation rate and the information flux.
In order to improve the key generation rate of the quantum key distribution protocols,a perfect complete orthogonal basis of the bipartite three-level system was constructed.By using this basis and swapping the entanglement between the particles,a quantum key distribution protocol was presented.Therefore,a three-level can be generalized to multi-level.Using entanglement swapping between the particles and multi-level key distribution,it can significantly improve the efficiency of the detection of eavesdropping and the key generation rate and the information flux.
Multi-party quantum secret sharing scheme with high efficient based on entanglement states is proposed and analyzed. A three-party which is presented shares a sequence of joint key bits. In this scheme, a general proof of the security against eavesdropping for three-party quantum secret sharing based on entanglement swapping is provided. The scheme which is showed is secure against a dishonest participant's intercept-and-resend attack and eavesdropper's entangle auxiliary-particles attack. In case of eavesdropping attacks with full information again, the detection bit needs to be transmitted except those for detection, the total efficiency of the scheme approaches to 100%. The protocol can be generalized to N-party system by using N-partite entanglement states.
In order to improve the security and efficiency of quantum key distribution protocol,a protocol was proposed based on entanglement swapping.The two parties of communication establish the key by performing the Bell state measurement.No other people can get the key without being found.Different from the proposed protocol,the Bell measurement of any two Bell states can be realized to achieve the purpose of quantum key distribution.It does not need multi-particle entangled state but only EPR pair to realize the protocol.Analysis results showed that this protocol not only ensures the security of the quantum key shared information,but also uses the entanglement states of two photons without unitary operation. And the protocol is simple and efficient.
Based on entanglement swapping between two Bell states, two novel quantum key distribution protocols are proposed. One is for two-level systems, where there is no need for classical communication before each entanglement swapping. This feature is essential to its practical realization. Furthermore, to establish an arbitrarily long key, the protocol needs only two Bell states. The other is for d-level (d > 2) systems, in which higher security and higher source capacity are achieved. Using the theory of quadratic residue, we prove that in the two-qudit systems, each Bell state is a uniform superposition of all basis states in the dual basis, which is different to the situation in two-qubit systems. This difference means our two-level protocol cannot be generalized to the d-level situation directly. On the other hand, it results in higher security of our d-level protocol and is instructive to design quantum cryptography protocols.