Abstract
In this paper I put forward a tripartite quantum operation sharing scheme with a five-qubit entangled state presented by Brown et al. (J Phys A 38:1119, 2005). I confirm the scheme security via analysis, expose its three features and compare my scheme with others from these aspects via discussions. Besides, I reveal the experimental feasibility of the scheme with the current technologies.
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References
Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)
Deng, F.G., Long, G.L.: Controlled order rearrangement encryption for quantum key distribution. Phys. Rev. A 68, 042315 (2003)
Bennett, C.H., Brassard, G., Crepeau, C., et al.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Zhang, Z.J., Liu, Y.M.: Perfect teleportation of arbitrary n-qudit states using different quantum channels. Phys. Lett. A 372, 28 (2007)
Cheung, C.Y., Zhang, Z.J.: Criterion for faithful teleportation with an arbitrary multiparticle channel. Phys. Rev. A 80, 022327 (2009)
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68, 042317 (2003)
Wang, C., et al.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)
Deng, F.G., et al.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys. Rev. A 72, 044301 (2005)
Zhang, Z.J.: Multiparty quantum secret sharing of secure direct communication. Phys. Lett. A 342, 60 (2005)
Zhang, Z.J., Li, Y., Man, Z.X.: Multiparty quantum secret sharing. Phys. Rev. A 71, 044301 (2005)
Zhang, Z.J., Man, Z.X.: Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys. Rev. A 72, 022303 (2005)
Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
Huelga, S.F., Vaccaro, J.A., Chefles, A.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)
Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: teleportation of angles. Phys. Rev. A 65, 042316 (2002)
Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B 44, 165508 (2011)
Peng, J.: Tripartite operation sharing with a six-particle maximally entangled state. Quant. Inf. Process. 14, 4255 (2015)
Xie, C.M., et al.: Probabilistic three-party sharing of operation on a remote qubit. Entropy 17, 814 (2015)
Duan, Y.J., Zha, X.W.: Remotely sharing a single-qubit operation via a six-qubit entangled state. Int. J. Theor. Phys. 54, 877 (2015)
Ji, Q.B., et al.: Tripartite quantum operation sharing with two asymmetric three-qubit W states in five entanglement structures. Quantum Inf. Process. 13, 1659 (2014)
Xing, H., et al.: Four-party deterministic operation sharing with six-qubit cluster state. Quantum Inf. Process. 13, 1553 (2014)
Ji, Q.B., et al.: Quantum operation sharing with symmetric and asymmetric W states. Quantum Inf. Process. 12, 2453 (2013)
Wang, S.F., Liu, Y.M., Zhang, Z.J.: Deterministic single-qubit operation sharing with five-qubit cluster state. Quantum Inf. Process. 12, 2497 (2013)
Liu, D.C., Liu, Y.M., Zhang, Z.J.: Shared quantum control via sharing operation on remote single qutrit. Quantum Inf. Process. 12, 3527 (2013)
Ye, B.L., et al.: Remotely sharing a single-qubit operation with a five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)
Brown, I.D.K., et al.: Searching for highly entangled multi-qubit states. J. Phys. A 38, 1119 (2005)
Xiu, X.M., et al.: Controlled deterministic secure quantum communication using five-qubit entangled states and two-step security test. Opt. Commun. 282, 333 (2009)
Qiu, L.: Quantum information processing through a genuine five-qubit entangled state in cavity QED. Quantum Inf. Process. 9, 643 (2010)
Deng, F.G., et al.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329 (2005)
Deng, F.G., et al.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 044302 (2005)
Xiao, L., Long, G.L., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)
Long, G.L., Liu, X.S.: Theoretical efficient high capacity quantum key distribution scheme. Phys. Rev. A 65, 032302 (2002)
Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)
Zheng, S.B.: Scheme for approximate conditional teleportation of an unknown atomic state without the Bell-state measurement. Phys. Rev. A 69, 064302 (2004)
Kim, M.S., Agarwal, G.S.: Reconstruction of an entangled state in cavity QED. Phys. Rev. A 59, 3044 (1999)
Riebe, M., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)
Ikram, M., Zhu, S.Y., Zubairy, M.S.: Quantum teleportation of an entangled state. Phys. Rev. A 62, 022307 (2000)
Acknowledgments
I am very grateful to the anonymous referee for his/her constructive suggestions. This work was supported by the Twelfth Five Year Plan Project of GuangDong Province (GD13XGL29), Science and technology plan project of Guangdong Province (2013B070206076), Ordinary university characteristics innovation projects of GuangDong Province and the planning project of ShaoGuan (Z2013018).
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Peng, J. Tripartite operation sharing with five-qubit Brown state. Quantum Inf Process 15, 2465–2473 (2016). https://doi.org/10.1007/s11128-016-1281-4
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DOI: https://doi.org/10.1007/s11128-016-1281-4