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Journal of Tianjin University of Technology and Education

Quantum secret sharing with three-particle entangled state

Yan Feng-Li

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

A protocol of quantum secret sharing between one party and two parties using a practical three-particle entangled state is presented in this paper,which is based on during and after secret sharing construction.The protocol carries on the examination to eavesdrop for many times,so that it can promise the safeness of channel and the usability of the secret strings.

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A protocol of quantum secret sharing between one party and two parties using a practical three-particle entangled state is presented in this paper,which is based on during and after secret sharing construction.The protocol carries on the examination to eavesdrop for many times,so that it can promise the safeness of channel and the usability of the secret strings.
In order to construct quantum secret sharing protocols among many parts,a N-particle entangled state that has a large persistency of entanglement is introduced,and a quantum secret sharing protocol between one party and(N-1)parties is presented using the proposed entangled state.During constructing secret sharing,Alice chooses randomly unitary operation I or σx for the sent particles,and chooses a part of the particles to check the safeness of channel;then Alice chooses another part of the particles to check the honesty of partners and the safeness of channel by the operations of(N-1)parties.The protocol carries on examination to the eavesdropper for many times,so that it can insure the safeness of channel and the usability of the secret strings.Finally,there are n[1-(N-1)/2 N-1]/6 sharing secret bits among Alice and(N-1)parties.
Controllable quantum secret sharing scheme on three -party entangled states can be implemented in realistic,high quantum network with three quantum units.S1,S2,S3 construct a three-party entangled state.S1 prepares 2N GHZ-like state,and sends S2 and S3 the last two particles,respectively.At last,S1,S2,S3 check together,derive the private key string through hidden value α.The scheme analyzes the security of the protocol for two cases of attacks,where one is an eavesdropping by Eve,and the other is the intercept-and-resend attack by a dishonest person.The three-party entangled state guarantees the security of the controllable secret sharing scheme.
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.