Abstract
This paper has proposed a generalized quantum state sharing protocol of an arbitrary two-particle state using non-maximally GHZ states and generalized Bell state measurement. The sender Alice performs two-particle generalized Bell state measurements on her two particles in the state sharing process and the controller takes measurements on his particles and transfers the quantum information to the receiver with entanglement swapping by the cooperation of the other agents. It is found that the use of nonmaximally entangled state in quantum state sharing has enabled the secure sharing of the quantum state.
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Bennett C H, Brassard G. Quantum cryptography: Public key distribution and coin tossing. Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India. New York: IEEE, 1984. 175–179
Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography. Rev Mod Phys, 2002, 74: 145–195
Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000
Long G L. Mathematical theory of the duality computer in the density matrix formalism. Quantum Inf Process, 2007, 6: 49–54; Long G L, Liu Y. Duality quantum computing. Front Comput Sci China, 2008, 2: 167–178
Hillery M, Bužek V, Berthiaume A. Quantum secret sharing. Phys Rev A, 1999, 59: 1829–1834
Gottesman D. Theory of quantum secret sharing. Phys Rev A, 2000, 61: 042311
Tyc T, Sanders B C. How to share a continuous-variable quantum secret by optical interferometry. Phys Rev A, 2002, 65: 042310
Lance A M, Symul T, Bowen W P, et al. Continuous variable (2, 3) threshold quantum secret sharing schemes. New J Phys, 2003, 5: 4.1–4.13
Xiao L, Long G L, Deng F G. Efficient multiparty quantum-secret-sharing schemes. Phys Rev A, 2004, 69: 052307
Deng F G, Zhou H Y, Long G L. Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys Lett A, 2005, 337: 329–334
Deng F G, Li C Y, Li Y S, et al. Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys Rev A, 2005, 72: 022338
Yan F L, Gao T. Quantum secret sharing between multiparty and multiparty without entanglement. Phys Rev A, 2005, 72: 012304
Zhang Z J, Li Y, Man Z X. Multiparty quantum secret sharing. Phys Rev A, 2005, 71: 044301
Yang Y G, Wen Q Y. Circular threshold quantum secret sharing. Chin Phys B, 2008, 17: 419–324
Gao T, Yan F L, Li Y C. Quantum secret sharing between m-party and n-party with six states. Sci China Ser G-Phys Mech Astron, 2009, 52(8): 1191–1202
Zuo X Q, Liu Y M, Zhang W, et al. Simpler criterion on W state for perfect quantum state splitting and quantum teleportation. Sci China Ser G-Phys Mech Astron, 2009, 52(12): 1906–1912
Schmid C, Trojek P, Bourennane P, et al. Experimental single qubit quantum secret sharing. Phys Rev Lett, 2005, 95: 230505
Chen Y A, Zhang A N, Zhao Z, et al. Experimental quantum secret sharing and third-Man quantum cryptography. Phys Rev Lett, 2005, 95: 200502
Cleve R, Gottesman D, Lo H K. How to share a quantum secret. Phys Rev Lett, 1999, 83: 648–651
Li Y M, Zhang K S, Peng K C. Multiparty secret sharing of quantum information based on entanglement swapping. Phys Lett A, 2004, 324, 420–424
Deng F G, Li X H, Li C Y, et al. Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys Rev A, 2005, 72: 044301
Lance AM, Symun T, Bowen WP, et al. Tripartite quantum state sharing. Phys Rev Lett, 2004, 92: 177903
Li X H, Zhou P, Li C Y, et al. Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state. J Phys B, 2006, 39: 1975–1983
Agrawal P, Pati A K. Probabilistic quantum teleportation. Phys Lett A, 2002, 305: 12–17
Wang T J, Zhou H Y, Deng F G. Quantum state sharing of an arbitrary m-qudit state with two-qudit entanglements and generalized Bell-state measurements. Physica A, 2008, 387: 4716–4722
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An erratum to this article can be found at http://dx.doi.org/10.1007/s11433-011-4383-0
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Wang, C., Zhang, Y. & Jin, G. Generalized quantum state sharing of the arbitrary two particles state. Sci. China Phys. Mech. Astron. 53, 2064–2068 (2010). https://doi.org/10.1007/s11433-010-4122-y
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DOI: https://doi.org/10.1007/s11433-010-4122-y