Abstract
The existing secret sharing schemes of sharing quantum information usually require the resource of entanglements no matter they are based on quantum teleportation or remote state preparation. However, in the practical applications, it is difficult to build faithful and stable entangled channels among many users. We show how the quantum information splitting and reconstruction can be implemented without the assistance of entanglements and give a quantum secret sharing protocol based on the theory of quantum interference. We also discuss its security against the individual attacks and generalize its three-party case into a multiparty case.
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Shamir A.: How to share a secret. Commun. ACM 22, 612 (1979)
Blakley, G.R.: Safeguarding cryptographic keys. In: Proceedings of National Computer Conference, pp. 313–317. AFIPS, New York (1979)
Hillery M., Bužek V., Berthiaume A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Karlsson A., Koashi M., Imoto N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162 (1999)
Gottesman D.: Theory of quantum secret sharing. Phys. Rev. A 61, 042311 (2000)
Tittel W., Zbinden H., Gisin N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63, 042301 (2001)
Guo G.-P., Guo G.-C.: Quantum secret sharing without entanglement. Phys. Lett. A 310, 247–251 (2003)
Bagherinezhad S., Karimipour V.: Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers. Phys. Rev. A 67, 044302 (2003)
Xiao L., Long G.L., Deng F.G., Pan J.W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)
Schmid C., Trojek P., Bourennane M., Kurtsiefer C., Żukowski M., Weinfurter H.: Experimental single qubit quantum secret sharing. Phys. Rev. Lett. 95, 230505 (2005)
Yan F.L., Gao T.: Quantum secret sharing between multiparty and multiparty without entanglement. Phys. Rev. A 72, 012304 (2005)
Takesue H., Inoue K.: Quantum secret sharing based on modulated high-dimensional time-bin entanglement. Phys. Rev. A 74, 012315 (2006)
Bogdanski J., Rafiei N., Bourennane M.: Experimental quantum secret sharing using telecommunication fiber. Phys. Rev. A 78, 062307 (2008)
Yu I.-C., Lin F.-L., Huang C.-Y.: Quantum secret sharing with multilevel mutually (un)biased bases. Phys. Rev. A 78, 012344 (2008)
Sun Y., Wen Q.-y., Gao F., Chen X.-b., Zhu F.-c.: Multiparty quantum secret sharing based on Bell measurement. Opt. Commun. 282, 3647–3651 (2009)
Sarvepalli P.K., Klappenecker A.: Sharing classical secrets with Calderbank-Shor-Steane codes. Phys. Rev. A 80, 022321 (2009)
Sarvepalli P., Raussendorf R.: Matroids and quantum-secret-sharing schemes. Phys. Rev. A 81, 052333 (2010)
Li Q., Chan W.H., Long D.Y.: Semiquantum secret sharing using entangled states. Phys. Rev. A 82, 022303 (2010)
He G., Wang Z.D.: Single qubit quantum secret sharing with improved security. Quantum Inf. Comput. 10, 28–40 (2010)
Cleve R., Gottesman D., Lo H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648 (1999)
Bandyopadhyay S.: Teleportation and secret sharing with pure entangled states. Phys. Rev. A 62, 012308 (2000)
Hsu L.Y.: Quantum secret-sharing protocol based on Grovers algorithm. Phys. Rev. A 68, 022306 (2003)
Lance A.M., Symul T., Bowen W.P., Sanders B.C., Lam P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)
Lance A.M., Symul T., Bowen W.P., Sanders B.C., Tyc T., Ralph T.C., Lam P.K.: Continuous- variable quantum-state sharing via quantum disentanglement. Phys. Rev. A 71, 033814 (2005)
Zhang Z.J., Li Y., Man Z.X.: Multiparty quantum secret sharing. Phys. Rev. A 71, 044301 (2005)
Kumar Singh S., Srikanth R.: Generalized quantum secret sharing. Phys. Rev. A 71, 012328 (2005)
Deng F.G., Li X.H., Li C.Y., Zhou P., Zhou H.Y.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys. Rev. A 72, 044301 (2005)
Hsu L.Y., Li C.M.: Quantum secret sharing using product states. Phys. Rev. A 71, 022321 (2005)
Gordon G., Rigolin G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)
Zheng S.B.: Splitting quantum information via W states. Phys. Rev. A 74, 054303 (2006)
Wang Z.Y., Liu Y.M., Zhang Z.J.: Generalized quantum state sharing of arbitrary unknown two-qubit state. Opt. Commun. 276, 322–326 (2007)
Muralidharan S., Panigrahi P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)
Choudhury S., Muralidharan S., Panigrahi P.K.: Quantum teleportation and state sharing using a genuinely entangled six-qubit state. J. Phys. A: Math. Theor. 42, 115303 (2009)
Bennett C.H., Brassard G., Crápeau C., Jozsa R., Peres A., Wootters W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Lo H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)
Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Confernece on Computers, Systems, and Signal Processing, pp. 175–179. IEEE, New York (1984)
Deng F.G., Li X.H., Zhou H.Y., Zhang Z.J.: Phys. Rev. A 72, 044302 (2005)
Stinespring W.F.: Positive functions on C*-algebras. Proc. Am. Math. Soc. 6, 211–216 (1955)
Gao F., Wen Q.Y., Zhu F.C.: Teleportation attack on the QSDC protocol with a random basis and order. Chin. Phys. B 17, 3189 (2008)
Calderbank A.R., Shor P.W.: Good quantum error-correcting codes exist. Phys. Rev. A 54, 1098–1105 (1996)
Shor P.W., Preskill J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441–444 (2000)
Minář J., de Riedmatten H., Simon C., Zbinden H., Gisin N.: Phase-noise measurements in long-fiber interferometers for quantum-repeater applications. Phys. Rev. A 77, 052325 (2008)
Cho S.-B., Noh T.-G.: Stabilization of a long-armed fiber-optic single-photon interferometer. Opt. Express 17, 19027–19032 (2009)
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Sun, Y., Gao, F., Yuan, Z. et al. Splitting a quantum secret without the assistance of entanglements. Quantum Inf Process 11, 1741–1750 (2012). https://doi.org/10.1007/s11128-011-0328-9
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DOI: https://doi.org/10.1007/s11128-011-0328-9