Abstract
A new application of the four-qubit cluster state is investigated for quantum information splitting (QIS) of an arbitrary three-qubit state. Muralidharan and Panigrahi (Phys Rev A 78:062333, 2008) argued that a four-qubit cluster state is impossible for QIS of an arbitrary two-qubit state. In this paper, we demonstrate that two four-qubit cluster states can be used to realize the deterministic QIS of an arbitrary three-qubit state by performing only the Bell-state measurements. Our scheme considered here is secure against certain eavesdropping attacks.
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Bennett C.H., Brassard G., Crépeau 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(13), 1895–1899 (1993)
Karlsson A., Bourennane M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58(6), 4394–4400 (1998)
Agrawal P., Pati A.: Perfect teleportation and superdense coding with W states. Phys. Rev. A 74(6), 062320 (2006)
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(9), 2644–2651 (2009)
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(5), 1485–1490 (2009)
Hillery M., Bužek V., Berthiaume A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)
Karlsson A., Koashi M., Imoto N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59(1), 162–168 (1999)
Cleve R., Gottesman D., Lo H.K.: How to share a quantum secret. Phys. Rev. Lett 83(3), 648–651 (1999)
Murao M., Jonathan D., Plenio M.B., Vedral V.: Quantum telecloning and multiparticle entanglement. Phys. Rev. A 59(1), 156–161 (1999)
Yan F.L., Wang D.: Probabilistic and controlled teleportation of unknown quantum states. Phys. Lett. A 316(5), 297–303 (2003)
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)
Man Z.X., Xia Y.J., An N.B.: Genuine multiqubit entanglement and controlled teleportation. Phys. Rev. A 75(5), 052306 (2007)
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)
Muralidharan S., Panigrahi P.K.: Quantum information splitting using multipartite cluster states. Phys. Rev. A 78(6), 062333 (2008)
Wang X.W., Yang G.J.: Generation of a four-particle cluster state and perfect teleportation of an arbitrary two-particle state in an ion-trap system. Commun. Theor. Phys 52(4), 588–592 (2009)
Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of quantum information using N-qubit linear cluster states. arXiv.org/abs/0904.0563v2 (2009)
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)
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.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77(3), 032321 (2008)
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)
Fang J.X., Lin Y.S., Zhu S.Q., Chen X.F.: Probabilistic teleportation of a three-particle state via three pairs of entangled particles. Phys. Rev. A 67(1), 014305 (2003)
Lu H.: Probabilistic teleportation of the three-particle entangled state via entanglement swapping. Chin. Phys. Lett 18(8), 1004 (2001)
Zhang Z.Y., Liu Y.M., Zuo X.Q., Zhang W., Zhang Z.J.: Transformation operator and criterion for perfectly teleporting arbitrary three-qubit state with six-qubit channel and bell-state measurement. Chin. Phys. Lett 26(12), 120303 (2009)
Yang C.P., Guo G.C.: A proposal of teleportation for three-particle entangled state. Chin. Phys. Lett 16(9), 628 (1999)
Briegel H.J., Raussendorf R.: Persistent entanglement in arays of interacting particles. Phys. Rev. Lett. A 86(5), 910–913 (2001)
Dong P., Xue Z.Y., Yang M., Cao Z.L.: Generation of cluster states. Phys. Rev. A 73(3), 033818 (2006)
Hein M., Dür W., Briegel H.J.: Entanglement properties of multipartite entangled states under the influence of decoherence. Phys. Rev. A 71(3), 032350 (2005)
Schlingemann D., Werner R.F.: Quantum error-correcting codes associated with graphs. Phys. Rev. A 65(1), 012308 (2001)
Raussendorf R., Briegel H.J.: A one-way quantum computer. Phys. Rev. Lett 86(22), 5188–5191 (2001)
Walther P., Resch K.J., Rudolph T., Schenck E., Weinfurter H., Vedral V., Aspelmeyer M., Zeilinger A.: Experimental one-way quantum computing. Nature 434, 169–176 (2005)
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Nie, Yy., Li, Yh., Liu, Jc. et al. Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states. Quantum Inf Process 10, 297–305 (2011). https://doi.org/10.1007/s11128-010-0196-8
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DOI: https://doi.org/10.1007/s11128-010-0196-8