New quantum secret sharing scheme with unknown three-particle quantum state

Abstract

Abstract:

With a three-particle GHZ entangled state as the quantum channel, a quantum secret sharing scheme is proposed, which realize the unknown three-particle quantum secret sharing, and the safety of the scheme is analyzed. It use the measurement of GHZ state and X-basic on the particles, finally it will realize the three quantum states secret sharing by using the corresponding unitary transformation .Compared with some related literature, the scheme has completed the three-particle quantum secret sharing and not increased the difficulty of making quantum channel, for sharing more particles quantum secret sharing provide the theory evidence.

Key words: quantum optics, three-particle entangled state, quantum state sharing, X-basis measurement, unitary transformation

Wu Junqin, Lin Huiying. New quantum secret sharing scheme with unknown three-particle quantum state[J]. J4, 2015, 32(3): 315-320.

References

[1] Bennett C H, Brassard G. Quantum Cryptography: Public Key and Coin Tossing[C]. New York: [s.n]: 1984. 175-179.
[2] BEMETT C H,BRASSARD G..Quantum cryptography:public key distribution and coin tossing[C]//Proc of IEEE International Conference on Computers.System and Signal Processing.New York:IEEE,1984:175-179.
[3] BOSTROM K,FELBINGER T.Deterministic secure direct communication using entanglement[J].Phys Rev Lett,2002,89(18):187902-1-187902-4.
[4] ZENG Gui-hua,ZHANG Wei-ping.Identity verification in quantum key distribution[J].Phys Rev A,2000,61(2):022301-22303.
[5] Hillery Mark,Buzek Vladimir,Berthiaume Andre.Quantum secret sharing[J].Phys Rev.A,1999,59(3):1829-1834.
[6] Karlsson Anders,Koashi Massato,Imoto Nobuyuki.Quantum entanglement for secret sharing and secret splitting[J]. Phys Rev.A,1999,59(1):162-168.
[7] Yang Yuguang,Wen Qiaoyan,Zhu Fuchen.Single N-dimensional quNit quantum secret sharing[J].Acta Phys. Sin(物理学报), 2006,55(7):3255-3258. （in Chinese）
[8] Deng Xiaoran,Yang Shuai,Yan Fengli .Quantum secret sharing with N-Particle entangled state[J].Acta Photonica Sinica(光子学报), 2010,39(11):2083-2087（in Chinese）.
[9] Quan Dongxiao,Zhao Nan,Pei Changxing,et al.New quantum secret sharing protocol based on entanglement swapping[J].Journal of Optoelectronics●Laser(电子●激光),2011,22(1):71-74 （in Chinese）.
[10] Long Yinxiang,Long Dongyang,Qiu Ddaowen.Quantum secret sharing of classical message by genuinely maximally entangled six-qubit state[J].Journal of Frontiers of Computer Science and Technology(计算机科学与探索),2012,6(5):465-472（in Chinese）.
[11] Zhang Qunyong.Quantum secret sharing of single-qubit state via tripartite entangled states[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):421-426（in Chinese）.
[12] Wei Kejin,Ma Haiqiang,Wang Long.A quantum secret sharing scheme based on two polarization beam splitters[J].Acta Phys.Sin(物理学报),2013,62(10): 104205-1-104205-5（in Chinese）.
[13] Liu Yueqi,Shi Jin,Hu Baolin,et al.Scheme of three quantum bit secret sharing based on GHZ state[J]. Chinese Journal of Quantum Electronics(量子电子),2010,27(1):46-50（in Chinese）.

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