Quantum secret sharing scheme based on four-particle entangled states

Abstract

Abstract: Three-party, four-party quantum secret sharing schemes are proposed based on two different four-particle entangled states, in which the secret information adopted is an identical unknown two-particle entangled state. In the quantum secret sharing scheme, the sender implements appropriate Bell or GHZ state measurement on the owned particles. The sender and partner inform the receiver measurement results by classical communications. The receiver can reconstruct the initial quantum state information by implementing the corresponding quantum operation with the assistance of other collaborators. The proposed two schemes are discussed and compared, and it’s found that the security of four-party quantum secret sharing scheme is more reliable.

Key words: quantum optics; quantum secret sharing; entanglement swapping; multi-party quantum communication protocol; quantum state sharing

CLC Number:

O431.2

ZHANG Qunyong. Quantum secret sharing scheme based on four-particle entangled states[J]. J4, 2016, 33(6): 718-723.

References

[1] Shamir A. How to share a secret [J]. Commun. ACM, 1979, 22: 612-613.
[2] Hillery M, Bu?ek V, Berthiaume A. Quantum secret sharing [J]. Phys. Rev. A, 1999, 59: 1829-1834.
[3] Cleve R, Gottesman D, Lo H K. How to Share a Quantum Secret [J]. Phys. Rev. Lett., 1999, 83: 648-651.
[4] Bell B A, Markham D, Herrera-Mart?′D A et al. Experimental demonstration of graph-state quantum secret sharing [J]. Nat. Commun., 2014, 5: 5480.
[5] Rahaman R, Parker M G. Quantum scheme for secret sharing based on local distinguishability [J]. Phys. Rev. A 91, 022330 (2015).
[6] Wang L, Zou L, Zhao S M. A novel quantum secret sharing scheme with a trustful center [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2014, 31(5): 591-598 (in Chinese).
[7] Song T T, Wen Q Y, Gao F et al. Participant attack and improvement to multiparty quantum secret sharing based on W states [J]. Int. J. Theor. Phys., 2013, 52: 293–301.
[8] Han L F, Xu H F. Probabilistic and controlled teleportation of an arbitrary two-qubit state via one dimensional five-qubit cluster-class state [J]. Int. J. Theor. Phys., 2012, 51: 2540–2545.
[9] Shi R H, Huang L S, Yang W, Zhong H. Asymmetric multi-party quantum state sharing of an arbitrary m-qubit state [J]. Quantum Information Processing, 2011, 10: 53–61.
[10] Wu J Q, Lin H Y. New quantum secret sharing scheme with unknown three-particle quantum state [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2015, 32(3): 315-320 (in Chinese).
[11] Fu Y Q, Chen H, Fang J X. Realization of quantum teleportation under control of a third party [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2014, 31 (2): 186-193 (in Chinese).
[12] Karimipour V and Asoudeh M. Quantum secret sharing and random hopping: Using single states instead of entanglement [J]. Phys. Rev. A, 2015, 92: 030301.
[13] Maitra A, Joyee De S, Paul G, Pal A K. Proposal for quantum rational secret sharing [J]. Phys. Rev. A 92, 022305 (2015).
[14] Yu Z B, Liu X Q. Quantum secret sharing protocol based on W states [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2014, 31 (5): 605-609 (in Chinese).
[15] Zhang Q Y, Zhan Y B, Zhang L L, Ma P C. Schemes for splitting quantum information via tripartite entangled states [J]. Int. J. Theor. Phys., 2009, 48: 3331-3338.
[16] Zhan Y B, Zhang Q Y, Wang Y W. Schemes for splitting quantum information with four-particle genuine entangled states [J]. Commun. Theor. Phys., 2010, 53: 847-851.
[17] Verstraete F, Dehaene J, Moor B De, Verschelde H. Four qubits can be entangled in nine different ways [J]. Phys. Rev. A, 2002, 65: 052112.
[18] Yeo Y and Chua W K. Teleportation and Dense Coding with Genuine Multipartite Entanglement [J]. Phys. Rev. Lett., 2006, 96: 060502.
[19] Zhang Q Y. 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).
[20] Huang Y F, Liu B H, Peng L, Li Y H, Li L, Li C F, Guo G C. Experimental generation of an eight-photon Greenberger–Horne–Zeilinger state [J]. Nat. commun., 2011, 2: 546.
[21] Gao W B, Lu C Y, Yao X C, Xu P, Gühne O, Goebel A, Chen Y A, Peng C Z, Chen Z B, Pan J W. Experimental demonstration of a hyper-entangled ten-qubit Schr?dinger cat state[J]. Nat. Phys., 2010, 6: 331-334.
[22] Wang X L, Cai X D, Su Z E, Chen M C, Wu D, Li L, Liu N L, Lu C Y, Pan J W. Quantum teleportation of multiple degrees of freedom of a single photon [J]. Nature, 2015, 5 1 8:516-519.