Probabilistic Quantum Information Splitting Based on the Non-maximally Entangled Four-Qubit State
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  • 作者:Chen-ming Bai ; Yong-ming Li
  • 关键词:Quantum information splitting ; Unitary transformation ; Probability ; Security
  • 刊名:International Journal of Theoretical Physics
  • 出版年:2016
  • 出版时间:March 2016
  • 年:2016
  • 卷:55
  • 期:3
  • 页码:1658-1667
  • 全文大小:269 KB
  • 参考文献:1.Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
    2.Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)ADS CrossRef
    3.Wang, Z.S., Liu, G.Q., Ji, Y.H.: Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system. Phys. Rev. A 79, 054301 (2009)ADS CrossRef
    4.Shan, C.J., Liu, J.B., Liu, T.K., Huang, Y.X., Li, H.: The controlled teleportation of an arbitrary two-atom entangled state in driven cavity QED. Int. J. Theor. Phys. 48, 1516–1522 (2009)CrossRef
    5.Leung, D.W., Shor, P.: Oblivious remote state preparation. Phys. Rev. Lett. 90, 127905 (2003)ADS CrossRef
    6.Gottesman, D.: Theory of quantum secret sharing. Phys. Rev. A 61, 042311 (2000)ADS CrossRef
    7.Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)ADS CrossRef
    8.Yeo, Y., Chua, W.K.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502 (2006)ADS CrossRef
    9.Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)ADS CrossRef
    10.Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162–168 (1999)ADS CrossRef
    11.Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648 (1999)ADS CrossRef
    12.Nie, Y.Y., Hong, Z.H., Huang, Y.B., Yi, X.J., Li, S.S.: Non-maximally entangled controlled teleportation using four particles cluster states. Int. J. Theor. Phys. 48, 1485–1490 (2009)CrossRef
    13.Nie, Y.Y., Li, Y.H., liu, J.C., Sang, M.H.: Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states. Quantum. Inf. Process 10(3), 297–305 (2011)CrossRef
    14.Nie, Y.Y., Li, Y.H., liu, J.C., Sang, M.H.: Quantum state sharing of an arbitrary three-qubit state by using four sets of W-class states. Opt. Commun. 284(5), 1457–1460 (2011)ADS CrossRef
    15.Li, Y.H., liu, J.C., Nie, Y.Y.: Quantum Teleportation and Quantum Information Splitting by Using a Genuinely Entangled Six-Qubit State. Int. J. Theor. Phys 49(10), 2592–2599 (2010)CrossRef
    16.Nie, Y.Y., Li, Y.H., liu, J.C., Sang, M.H.: Quantum information splitting of an arbitrary three-qubit state by using a genuinely entangled five-qubit state and a Bell-state. Quantum. Inf. Process 11(2), 563–569 (2012)CrossRef
    17.Nie, Y.Y., Li, Y.H., Liu, J.C., Sang, M.H.: Quantum state sharing of an arbitrary four-qubit GHZ-type state by using a four-qubit cluster state. Quantum. Inf. Process 10, 603–608 (2011)CrossRef
    18.Yin, X.F., liu, Y.M., Zhang, W., Zhang, Z.L.: Simplified four-qubit cluster state for splitting arbitrary single-qubit information. Commun. Theor. Phys. 53, 49–53 (2010)ADS CrossRef
    19.Li, D.F., Wang, R.J., Zhang, F.L.: Quantum information splitting of arbitrary three-qubit state by using four-qubit cluster state and GHZ-state. Int. J. Theor. Phys. 54, 1142–1153 (2015)CrossRef
    20.Li, D.F., Wang, R.J., Zhang, F.L.: Quantum information splitting of arbitrary three-qubit state by using seven-qubit entangled state. Int. J. Theor. Phys. (2014). doi:10.​1007/​s10773-014-2413-1
    21.Wang, R.J., Li, D.F., Deng, F.H.: Quantum information splitting of a two-qubit bell state using a five-qubit entangled state. Int. J. Theor. Phys. (2015). doi:10.​1007/​s10773-015-2562-x
    22.Kang, S.Y., Chen, X.B., Yang, Y.X.: Asymmetric quantum information splitting of an arbitrary N-qubit state via GHZ-like state and bell states. Int. J. Theor. Phys. 53, 1848–1861 (2014)CrossRef
    23.Xu, G., Wang, C., Yang, Y.X.: Hierarchical quantum information splitting of an arbitrary two-qubit state via the cluster state. Quantum. Inf. Process 13, 43–57 (2014)ADS CrossRef
    24.Shi, B.S., Jiang, Y.K., Guo, G.C.: Probabilistic teleportation of two-particle entangled state. Phys. Rev. A 268, 161–164 (2000)
    25.Gordon, G., Rigolin, G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)ADS CrossRef
    26.Shukla, C., Pathak, A.: Hierarchical quantum communication. Phys. Rev. A 377, 1337–1344 (2013)
    27.Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)ADS CrossRef
    28.Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306 (2000)ADS CrossRef
    29.Mintert, F., Kus, M., Buchleitner, A.: Concurrence of mixed multipartite quantum states. Phys. Rev. Lett. 95, 260502 (2005)ADS CrossRef
    30.Meyer, D.A., Wallach, N.R.: Global entanglement in multiparticle systems. J. Math. Phys. 43, 4273 (2000)ADS CrossRef
    31.Brennen, G.K.: An observable measure of entanglement for pure states of multi-qubit systems. Quantum Inf. Comput. 3, 619 (2003)
    32.Eltschka, C., Siewert, J.: Quantifying entanglement resources. J. Phys. A. Math. Theor. 47(54pp), 424005 (2014)ADS CrossRef
    33.Li, D.F., Wang, R.J., Zhang, F.L., Deng, F.H., Baagyere, E.: Quantum information splitting of arbitrary two-qubit state by using four-qubit cluster state and Bell-state, p 14,1103C1116 (2015)
    34.Yang, K., Huang, L.S., Yang, W., Song, F.: Quantum teleportation via GHZ-like state. Int. J. Theor. Phys. 48, 516–521 (2009)CrossRef
  • 作者单位:Chen-ming Bai (1)
    Yong-ming Li (2)

    1. School of Mathematics and Information Science, Shannxi Normal University, Xi’an, 710119, China
    2. School of Computer Science, Shannxi Normal University, Xi’an, 710119, China
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Physics
    Quantum Physics
    Elementary Particles and Quantum Field Theory
    Mathematical and Computational Physics
  • 出版者:Springer Netherlands
  • ISSN:1572-9575
文摘
In this paper, we propose a scheme for quantum information splitting based on the non-maximally entangled four-qubit state in order to realize the splitting of the specific two-qubit state |ψ〉 A B =x|00〉+y|11〉. The information splitter will safely share an state to the receiver with help of the controller. Through introducing an auxiliary system and applying several appropriate unitary transformations the information receiver can reconstruct the original state sent by the information splitter. Due to the non-maximally entangled four-qubit state, the total probability that the receiver obtains the original information is P. Furthermore, we discuss the relationship between the successful splitting probability and the concurrence of the entangled state and get a specific expression. In addition, the scheme is tested against external and internal attacks, and we define a function to characterise the security with the concurrence of the entanglement. Keywords Quantum information splitting Unitary transformation Probability Security

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