Scheme of three quantum bit secret sharing based on GHZ state

Abstract

Abstract:

With a five-particle entanglement GHZ state as the quantum channel, a quantum secret sharing scheme is proposed, which put through the three-particle teleportation in order to realize the three-quantum secret sharing. The safety of the scheme is analyzed. The scheme makes full use of five particles’ relationship of the GHZ-state. It is found that a Bell-basis measurement, three single particle measurement and corresponding unitary transformation are required. Compared with the pertinent literature, it enhances the quantum transmission without increasing the number of particles, and forms a theoretical basis for transmitting more quanta in quantum secret sharing.

Key words: quantum optics, quantum secret sharing, quantum entanlement, qunatum teleportation

LIU Yue-Qi, Shi-Jin, HU Bao-Lin, ZHANG Kun. Scheme of three quantum bit secret sharing based on GHZ state[J]. J4, 2010, 27(1): 41-46.

References

[1] Shamir A. How to share a secret
[J]. Communications of the ACM, 1979, 22(11): 612~613.

[2] Blakely G. Safeguarding cryptographic keys
[C]. Proceedings of the National Computer Conference. NewYork: AFIPS Press, 1979, 313~317.

[3] Hillery M, Buzěk V, Berthiaume A. Quantum secret sharing
[J]. Phys. Rev. A, 1999, 59: 1829~1834.

[4] Karlsson A, Koashi M, Imoto N. Quantum entanglment for secret sharing and secret splitting
[J]. Phys. Rev. A, 1999, 59:162~169.

[5] Hsu L Y. Quantum secret-sharing protocol based Grover’s algorithm
[J]. Phys. Rev. A, 2003, 68: 022306.

[6] Karimipour V, Bahraminasab A, Bagherinezhad S. Entanglement swapping of generalized cat states and secrsharing
[J]. Phys. Rev. A, 2002, 65: 042320.

[7] Bandyopadhyay S. Teleportation and secret sharing with pur entangled states
[J]. Phys. Rev. A, 2000, 62: 012308.

[8] Guo F Z, Wen Q Y, Zhu F C. Quantum scret sharing based on multi-particle entanglement
[J]. The Journal of China Universities of Posts and Telecommunications, 2005, 12(1): 15219.

[9] Ljuuggren D, Bourennane M, Karlsson A. Authority-based user authentication in quantum key distribution
[J]. Phys. Rev. A, 2000, 62: 022305.

[10] Zhang Z J, Yong L, Man Z X. Multiparty quantum secret sharing
[J]. Phys. Rev. A, 2005, 71: 044301.

[11] Aspect A, Dalibard J, Roger G. Experimental test of Bell’s inequalities using time-varying analyzers
[J]. Phys. Rev. Lett. , 1982, 49:1804~1806.

[12] Clauser J F, Horne M A, Shimony A, et al. Proposed experiment to test local hidden-variable theories
[J]. Phys. Rev. Lett. , 1969, 23: 880~884.

[13] Yang W. Studay on Quantum Teleportation and Quantum Secret Sharing
[D]. Master Degree Theses of Hunan University.2006(in Chinese).

[14] Zeng G H. Quantum Cryptography
[M]. BeiJin: Science Press,2006(in Chinese).

[15] Liu Y Q. Research and development tend of quantum cryptography
[J]. Communications Technology(通信技术).2007,40(11):324-326(in Chinese).

[16] Liu Y Q, Zhang K. Quantum authentication protocols based on entanglement swapping
[J]. Natural Science Edition Journal of Huaiyin Teachers College(淮阴师范学院学报(自然科学版)).2008(7)1:69-71(in Chinese).

[17] Liu Y Q, Zhang K. Quantum authentication protocols based on entanglement swapping in distributed network
[J]. Computer Engineering and Applications(计算机工程与应用),2008,44(32):90-92(in Chinese).

[18] Shi J, Zhan Y B. Probabilistic remote preparation of a bipartite three-dimensional equatorial entangled state
[J].Chinese Journal of Quantum Electronics(量子电子学报),2008(25)3:307-311(in Chinese).