Abstract
Quantum information splitting (QIS) is such a procedure where a sender can distribute a quantum information (state) to several recipients such that all of them can cooperate to recover the quantum state, but any other subset can not. In this paper, we present a uniform method to design QIS schemes using GHZ-type and W-type states. We also give a simple criteria on W states for QIS.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Shamir, A.: How to Share a Secret. Commun. ACM 22, 612 (1979)
Hillery, M., Buzek, V., Berthiaume, A.: Quantum Secret Sharing. Phys. Rev. A 59, 1829–1834 (1999)
Gottesman, D.: Theory of Quantum Secret Sharing. Phys. Rev. A 61, 042311 (2000)
Guo, G.P., Guo, G.C.: Quantum Secret Sharing Without Entanglement. Phys. Lett. A 310, 247–251 (2003)
Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Efficient Multiparty Quantum-Secret-Sharing Schemes. Phys. Rev. A 69, 052307 (2004)
Zhang, Z.J., Li, Y., Man, Z.X.: Multiparty Quantum Secret Sharing. Phys. Rev. A 71, 044301 (2005)
Cleve, R., Gottesman, D., Lo, H.K.: How to Share a Quantum Secret. Phys. Rev. Lett. 83, 648 (1999)
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Tripartite Quantum State Sharing. Phys. Rev. Lett. 92, 177903 (2004)
Dür, W., Vidal, G., Cirac, J.I.: Three Qubits Can Be Entangled in Two Inequivalent Ways. Phys. Rev. A 62, 062314 (2000)
Agrawal, P., Pati, A.: Perfect Teleportation and Superdense Coding with W States. Phys. Rev. A. 74, 062320–062324 (2006)
Li, L.Z., Qiu, D.W.: The States of W-class as Shared Resources for Perfect Teleportation and Superdense Coding. J. Phys. A. 40, 10871–10885 (2007)
Zheng, S.B.: Splitting Quantum Information via W States. Phys. Rev. A 74, 054303 (2006)
Zhang, Z.J., Cheung, C.Y.: Minimal Classical Communication and Measurement Complexity for Quantum Information Splitting. J. Phys. B 41, 015503-1-6 (2008)
Zuo, X.Q., Liu, Y.M., Zhang, W., et al.: Minimal Classical Communication Cost and Measurement Complexity in Splitting Twoqubit Quantum Information via Asymmetric W States. Int. J. Quantum. Inf. 6, 1245–1253 (2008)
Liu, Y.M., Yin, X.F., Zhang, W., et al.: Tripartition of Arbitrary Single-Qubit Quantum Information by Using Asymmetric Fourqubit W State. Int. J. Quantum. Inf. 7, 349–355 (2009)
Zhang, W., Liu, Y.M., Yin, X.F., et al.: Partition of Arbitrary Single-Qubit Information Among Recipients via Asymmetric Qubit W State. Sci. China. Ser. G-Phys. Mech. Astron. 52, 1611–1617 (2009)
Zuo, X.Q., Liu, Y.M., Zhang, W., Zhang, Z.J.: Simpler Criterion on W State for Perfect Quantum State Splitting and Quantum Teleportation. Sci. China. Ser. G-Phys Mech Astron 52, 1906–1912 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, L., Qiu, D. (2012). Quantum Information Splitting Using GHZ-Type and W-Type States. In: Huang, DS., Gan, Y., Premaratne, P., Han, K. (eds) Bio-Inspired Computing and Applications. ICIC 2011. Lecture Notes in Computer Science(), vol 6840. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24553-4_32
Download citation
DOI: https://doi.org/10.1007/978-3-642-24553-4_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24552-7
Online ISBN: 978-3-642-24553-4
eBook Packages: Computer ScienceComputer Science (R0)