Abstract
In this paper, we proposed a scheme for quantum information splitting of arbitrary two-qubit by using four-qubit cluster state and Bell-state as quantum channel. The splitter (Alice) and two receivers (Bob and Charlie) safely share a four-qubit cluster and Bell-state as quantum channel. Then, the sender Alice first performs Bell-state measurement (BSMs) on her qubit pairs, respectively, and tells the results to the receiver Bob and Charlie via a classical channel. But it is impossible for Bob to reconstruct the original state with local operations without help from Charlie. If Charlie allows Bob to reconstruct the original state information, he also needs to perform BSMs on his qubits and tell Bob the measurement result. Using the measurement results from Alice and Charlie, Bob can reconstruct the original state by applying the appropriate unitary operation. The scheme is tested against various attack scenarios such as eavesdropping attack, eavesdropping in the presence of a malicious attacker and even in the presence of a dishonest agent and found to be secure in all these cases. In addition, the deterministic quantum information splitting of arbitrary two-qubit state in cavity quantum electrodynamics is implemented.
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Cao, Z.L., Yang, M., Guo, G.C.: The scheme for realizing probabilistic teleportation of atomic states and purifying the quantum channel on cavity QED. Phys. Lett. A 308(5), 349–354 (2003)
Bennett, C.H.: Communication via one-and two-particle operators on Einstein–Podolsky–Rosen states. Phys. Rev. Lett. 69(20), 2881–2884 (1992)
Rao, D.D.B., Ghosh, S., Panigrahi, P.K.: Generation of entangled channels for perfect teleportation using multielectron quantum dots. Phys. Rev. A 78(4), 042328 (2008)
Ye, L., Guo, G.C.: Scheme for implementing quantum dense coding in cavity QED. Phys. Rev. A 71(3), 034304 (2005)
Samal, J.R., Gupta, M., Panigrahi, P.K., Kumar, A.: Non-destructive discrimination of Bell states by NMR using a single ancilla qubit. J. Phys. B At. Mol. Opt. Phys. 43, 095508 (2010)
Prasath, E.S., Muralidharan, S., Mitra, C., Panigrahi, P.K.: Multipartite entangled magnon states as quantum communication channels. Quantum Inf. Process. 11(2), 397–410 (2012)
Shi, R.H., Huang, L.S., Yang, W., Zhong, H.: Efficient symmetric five-party quantum state sharing of an arbitrary m-qubit state. Int. J. Theor. Phys. 50(11), 3329–3336 (2011)
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)
Shi, R.H., Huang, L.S., Yang, W., Zhong, H.: Asymmetric multi-party quantum state sharing of an arbitrary m-qubit state. Quantum Inf. Process. 10(1), 53–61 (2011)
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)
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)
Hou, K., Liu, G.H., Zhang, X.X., Sheng, S.Q.: An efficient scheme for five-party quantum state sharing of an arbitrary m-qubit steta using multiqubit cluster states. Quantum Inf. Process. 10(4), 463–473 (2011)
Saha, D., Panigrahi, P.K.: N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZ-Bell channel. Quantum Inf. Process. 11(2), 615–628 (2012)
Man, Z.X., Xia, Y.J., An, N.B.: Quantum state sharing of an arbitrary multi-qubit state using non-maximally entangled GHZ states. Eur. Phys. J. D 42(2), 333–340 (2007)
Zheng, S.B.: Splitting quantum information via W states. Phys. Rev. A 74, 054303 (2006)
Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)
Menon, J.V., Paul, N., Karumanchi, S., Muralidhara, S., Panigrah, P.K.: Quantum Tasks Using Six Qubit Cluster States. arXiv:0906.3874(2009)
Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of Quantum Information Using N-Qubit Linear Cluster States. arXiv:0904.0563v2(2010)
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)
Zhang, B.B., Liu, Y.: Economic and deterministic quantum teleportation of arbitrary bipartite pure and mixed state with shared cluster entanglement. Int. J. Theor. Phys. 48, 2644–2651 (2009)
Zheng, S.B.: Splitting quantum information via W states. Phys. Rev. A 74(5), 054303 (2006)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59(1), 162–168 (1999)
Cheung, C.V., Zhang, Z.J.: Criterion for faithful teleportation with an arbitrary multiparticle channel. Phys. Rev. A 80, 022327 (2009)
Paul, N., Menon, J.V., Karumanchi, S., Muralidharan, S., Panigrahi, P.K.: Quantum tasks using six-qubit cluster states. Quantum Inf. Process. 10, 619–632 (2011)
Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of quantum information using N-qubit linear cluster states. Opt. Commun. 284(4), 1082–1085 (2011)
Ben-Or, M., Crpeau, C., Gottesman, D., Hassidim, A., Smith, A.: In: Proceedings of 47th Annual IEEE Symposium on the Foundations of Computer Science (FOCS06), pp. 249–260. IEEE Press, New York (2006)
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)
Wiesner, S.: SIGACT news. Conjug. Coding 15, 78–88 (1983)
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321 (2008)
Zhao, Z., Chen, Y.A., Zhang, A.N., Yang, T., Briegel, H.J., Pan, J.W.: Experimental demonstration of five-photon entanglement and open-destination quantum teleportation. Nature 430, 54 (2004)
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)
Yin, X.F., Liu, Y.M., Zhang, W., Zhang, Z.J.: Simplified four-qubit cluster state for splitting arbitrary single-qubit information. Commun. Theor. Phys. 53, 49–53 (2010)
Nie, Y.Y., Li, Y.H., Lin, 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)
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 (2004)
Choudhury, S., Muralidharan, S., Panigrahi, P.K.: Quantum teleportation and state sharing using a genuinely entangled six-qubit state. J. Phys. A 42(11), 115303 (2009)
Man, Z.X., Xia, Y.J., An, N.B.: Genuine multiqubit entanglement and controlled teleportation. Phys. Rev. A 75(5), 052306 (2007)
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 (2008)
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(4), 044301 (2005)
Hou, K., Li, Y.B., Shi, S.H.: Quantum state sharing with a genuinely entangled five-qubit state and Bell-state measurements. Opt. Commun. 283(9), 1961–1965 (2010)
Muralidharan, S., Panigrahi, P.K.: Quantum information splitting using multipartite cluster states. Phys. Rev. A 78(6), 062333 (2008)
Wang, X.W., Peng, Z.H., Jia, C.X., Wang, Y.H., Liu, X.J.: Scheme for implementing controlled teleportation and dense coding with genuine pentaqubit entangled state in cavity QED. Opt. Commun. 282(4), 670–673 (2009)
Li, D.F., Wang, R.J., Zhang, F.L.: (2014) Quantum information splitting of a Two-qubit Bell state using a four-qubit Entangled state. Chin. Phys. C (1), 010601 (accepted)
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. (published online), 1–12 (2014)
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. (published online), 1–8 (2014)
Wang, X.P., Sang, M.H.: Splitting an arbitrary three-qubit state by using seven-qubit composite GHZ-Bell state. Int. J. Theor. Phys. 53, 1064–1069 (2014)
Bai, M.Q., Mo, Z.W.: Hierarchical quantum information splitting with eight-qubit cluster states. Quantum Inf. Process. 12, 1053–1064 (2013)
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, 2592–2599 (2010)
Acknowledgments
This work is supported by the Fundamental Research Funds for the Central Universities (ZYGX2011J064). This work is also supported partly by the National Nature Science Foundation of China under Grant (Nos. 60903157 and 61133016), and the National High Technology Joint Research Program of China (863 Program, Grant No. 2011AA010706).
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Li, Df., Wang, Rj., Zhang, Fl. et al. Quantum information splitting of arbitrary two-qubit state by using four-qubit cluster state and Bell-state. Quantum Inf Process 14, 1103–1116 (2015). https://doi.org/10.1007/s11128-014-0906-8
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DOI: https://doi.org/10.1007/s11128-014-0906-8