Abstract
We present a new scheme for sharing an arbitrary two-qubit quantum state with n agents. In our scheme, the sender Alice first shares n Einsein-Podolsky-Rosen (EPR) pairs in Bell states with n agents. After setting up the secure quantum channel, Alice first applies (n − 2) Controlled-Not (CNOT) gate operations, and then performs two Bell-state measurements and (n − 2) single-particle measurements (n >2). In addition, all controllers only hold one particle in their hands, respectively, and thus they only need to perform a single-particle measurement on the respective particle with the basis \({\{{\vert}0\rangle, {\vert}1\rangle\}}\). Compared with other schemes with Bell states, our scheme needs less qubits as the quantum resources and exchanges less classical information, and thus obtains higher total efficiency.
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References
Hillery M., Buzek V., Berthiaume A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)
Cleve R., Gottesman D., Lo H.K.: How to Share a Quantum Secret. Phys. Rev. Lett. 83(3), 648–651 (1999)
Gottesman D.: Theory of quantum secret sharing. Phys. Rev. A 61(4), 042311(1–8) (2000)
Hideki, I., Jörn M.Q., et al.: A quantum information theoretical model for quantum secret sharing schemes. arXiv:quant-ph /0311136v1 (2003)
Sudhir K.S., Srikanth R.: Generalized quantum secret sharing. Phys. Rev. A 71(1), 012328(1–6) (2005)
Muralidharan, S., et al.: In how many ways can quantum information be split? arXiv.org/abs/0909.3532 (2009)
Tittel W., Zbinden H., Gisin N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63(4), 042301(1–6) (2001)
Lance A.M., Symul T., Bowen W.P., Sanders B.C., Lam P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92(17), 177903(1–4) (2004)
Zhang Z.J. et al.: Multiparty secret sharing of quantum information using and identifying Bell state. Eur. Phys. J. D 33(1), 133–136 (2005)
Li Y.M., Zhang K.S., Peng K.C.: Multiparty secret sharing of quantum information based on entanglement swapping. Phys. Lett. A 324(5–6), 420–424 (2004)
Liu J., Liu Y.M., Zhang Z.J.: Generalized multiparty quantum single-qutrit state sharing. Int. J. Theor. Phys. 47(9), 2353–2362 (2008)
Deng F.G., Li C.H., Li Y.S. et al.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72(2), 022338(1–8) (2005)
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 72(4), 044301(1–4) (2005)
Deng F.G., Li X.H., Li C.Y. et al.: Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur. Phys. J. D 39(3), 459–464 (2006)
Wang Z. et al.: Generalized quantum state sharing of arbitrary unknown two-qubit state. Opt. Commun. 276(2), 322–326 (2007)
Yuan H. et al.: Tripartite arbitrary two-qutrit quantum state sharing. Commun. Theor. Phys. 49(5), 1191–1194 (2008)
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 At. Mol. Opt. Phys. 39(8), 1975–1983 (2006)
Man Z.X., Xia Y.J., An N.B.: Quantum state sharing of an arbitrary multiqubit sate using nonmaximally entangled GHZ states. Eur. Phys. J. D 42(2), 333–340 (2007)
Wang T.J., Zhou H.Y., Deng F.G.: Quantum state sharing of an arbitrary m-qudit state with two-qubit entanglements and generalized Bell-state measurements. Physica A 387(18), 4716–4722 (2008)
Xiao-Ming X. et al.: A theoretical scheme for multiparty multi-particle state sharing. Commun. Theor. Phys. 49(5), 1203–1206 (2008)
Sheng Y.B., Deng F.G., Zhou H.Y.: Efficient and economic five-party quantum state sharing of an arbitrary m-qubit state. Eur. Phys. J. D 48(2), 279–284 (2008)
Yuan H. et al.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B At. Mol. Opt. Phys. 41(14), 145506(1–6) (2008)
Yang C.P., Chu S.I., Han S.Y.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70(2), 022329(1–8) (2004)
Zhang Z.J., Liu Y.M., Man Z.X.: Improved Wojcik’s eavesdropping attack on ping-pong protocol without eavesdropping-induced channel loss. Phys. Lett. A 341(5–6), 55–59 (2005)
Zhang Z.J.: Controlled teleportation of an arbitrary n-qubit information using quantum secret sharing of classical message. Phys. Lett. A 352(1–2), 55–58 (2006)
Muralidharan S., Panigrahi P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77(3), 032321(1–7) (2008)
Muralidharan S., Panigrahi P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78(6), 062333(1–5) (2008)
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Shi, Rh., Huang, Ls., Yang, W. et al. Multi-party quantum state sharing of an arbitrary two-qubit state with Bell states. Quantum Inf Process 10, 231–239 (2011). https://doi.org/10.1007/s11128-010-0191-0
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DOI: https://doi.org/10.1007/s11128-010-0191-0