Abstract
A new application of the W-class state for quantum state sharing (QSTS) of an arbitrary three-qubit state with a certain probability is presented explicitly. We show that three sets of W-class states can be used to realize the QSTS of an arbitrary three-qubit state involving Bell-state measurement, single-qubit measurement and one high dimensional unitary operation. The performance demonstrates that our scheme can considerably reduce the difficulty of physical implementation.
Similar content being viewed by others
References
Bennett, C.H., et al.: Measurement-based teleportation along quantum spin chains. Phys. Rev. Lett. 70, 1895 (1993)
Cirac, J.I., Zoller, P.: Quantum gates with “Hot” trapped ions. Phys. Rev. Lett. 74, 4091 (1995)
Barenco, A., et al.: Conditional quantum dynamics and logic gates. Phys. Rev. Lett. 74, 4083 (1995)
Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)
Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68, 3121 (1992)
Zhang, Y., et al.: Chin. Phys. Lett. 15, 238 (1998)
Shi, B.S., Guo, G.C.: A quantum cryptography key distribution way using orthogonal states. Chin. Phys. Lett. 14, 521 (1997)
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Fang, J.X., Lin, Y.S., Zhu, S.Q., Chen, X.F.: Teleportation of multipartite state via W state. Phys. Rev. A 67, 014305 (2003)
Zhang, Z.Y., Liu, Y.M., Zuo, X.Q., Zhang, W., Zhang, Z.J.: Quantum information splitting of an arbitrary three-qubit state by using cluster states and bell states. Chin. Phys. Lett. 26, 120303 (2009)
Guo, G.P., Guo, G.C.: Quantum secret sharing without entanglement. Phys. Lett. A 310, 247 (2003)
Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)
Singh, S.K.: Generalized quantum secret sharing. Phys. Rev. A 71, 012328 (2005)
Hsu, L.Y., Li, C.M.: Quantum secret sharing using product states. Phys. Rev. A 71, 022321 (2005)
Zhang, Z.J., et al.: Multiparty quantum secret sharing. Phys. Rev. A 71, 044301 (2005)
Zhang, Z.J., et al.: Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys. Rev. A 72, 022303 (2005)
Zhang, Z.J., et al.: Multiparty quantum secret sharing of key using practical faint laser pulses. Chin. Phys. Lett. 22, 1588 (2005)
Xia, Y., Song, J., Song, H.S.: Quantum state sharing using linear optical elements. Opt. Commun. 281, 4946 (2008)
Hou, K., et al.: An efficient scheme for five-party quantum state sharing of an arbitrary m-qubit state using multi qubit cluster states. Quantum Inf. Process. 10(4), 463–473 (2011)
Nie, Y.Y., et al.: Quantum state sharing of an arbitrary three-qubit state by using four sets of W-class states. Optics Commun. 284, 1457–1460 (2011)
Shi, R.H., et al.: Efficient multi-party quantum state sharing of an arbitrary two-qubit state. Optics Commun. 283, 2762–2766 (2010)
Shi, R.H., et al.: Asymmetric five-party quantum state sharing of an arbitrary m-qubit state. Eur. Phys. J. D 57, 287–291 (2010)
Hou, K., Li, Y.B., Shi, S.-H.: Quantum state sharing with a genuinely entangled five-qubit state and bell-state measurements. Optics Commun. 283, 1961–1965 (2010)
Deng, F.G., et al.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein–Podolsky-Rosen pairs. Phys. Rev. A 72(4), 044301 (2005)
Hao, Yuan, et al.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B: At. Mol. Opt. Phys. 41, 145506 (2008)
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, 333–340 (2007)
Wang, A.M.: Combined and controlled remote implementations of partially unknown quantum operations of multiqubits using Greenberger-Horne-Zeilinger states. Phys. Rev. A 75, 062323 (2007)
Li, D., et al.: Controlled three-party communication using GHZ-like state and imperfect bell-state measurement. Optics Communications 284, 905–908 (2011)
Wang, Z.Y., et al.: Generalized quantum state sharing of arbitrary unknown two-qubit state. Optics Commun. 276, 322–326 (2007)
Gordon, G., Rigolin, G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)
Zuo, X.Q., et al.: Simpler criterion on W state for perfect quantum state splitting and quantum teleportation. Sci. Chin. G 52, 1906 (2009)
Yang, J., et al.: Teleporting and splitting arbitrary single-qubit information using a class of three-qubit W states. Int. J. Quant. Inf. 71, 349 (2009)
Zhang, W., et al.: Partition of arbitrary single-qubit information among n recipients via asymmetric (n+1)-qubit W state. Sci. China Ser. G 52, 1611 (2009)
Yin, X.F., et al.: Tripartition of arbitrary single-qubit information via a class of asymmetric four-qubit W state. Commun. Theor. Phys. 52, 606 (2009)
Zuo, X.Q., et al.: Bi-splitting an arbitrary N-qubit state with a class of asymmetric three-qubit W states. Int. J. Theor. Phys. 48, 1950 (2009)
Pan, G.X., et al.: Tripartite splitting arbitrary 2-qubit quantum information by using two asymmetric W states. Commun. Theor. Phys. 51, 227 (2009)
Liu, Y.M., et al.: Tripartion of arbitrary single-qubit quantum information by using asymmetric four-qubit W state. Int. J. Quant. Inf. 7, 349 (2009)
Zuo, X.Q., et al.: Minimal classical communication cost and measurement complexicity in splitting two-qubit quantum information via asymmetric W states. Int. J. Quant. Inf. 6, 1245 (2008)
Yuan, H., et al.: Eavesdropping on quantum secure direct communication with W state in noisy channel. Commun. Theor. Phys. 49, 103 (2008)
Wang, H.F., Zhang, S., Yeon, K.H.: Linear-optics-based entanglement concentration of unknown partially entangled three-photon W states. J. Opt. Soc. Am. B. 27, 2159 (2010)
Luo, M.X., et al.: Deterministic remote preparation of an arbitrary W-class state with multiparty. J. Phys. B At. Mol. Opt. Phys. 43, 065501 (2010)
Wang, Y.H., Song, H.S.: Preparation of partially entangled W state and deterministic multi-controlled teleportation. Optics Commun. 281(3), 489–493 (2008)
Peng, Z.H., Zou, J., Liu, X.J.: Scheme for implementing efficient quantum information processing with multiqubit W-class states in cavity QED. J. Phys. B At. Mol. Opt. Phys. 41, 065505 (2008)
Sudhir, K.S., Srikanth, R.: Generalized quantum secret sharing. Phys. Rev. A 71(1), 012328 (2005)
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)
Man, Z.-X., Xia, Y.-J., An, N.B.: Quantum state sharing of an arbitrary multiqubit state using non-maximally entangled GHZ states. Eur. Phys. J. D 42, 333–340 (2007)
Nie, Y.-Y., et al.: Quantum state sharing of an arbitrary three-qubit state by using four sets of W-class states. Optics Commun. 284(5), 1457–1460 (2011)
Barenco, A., et al.: Elementary gates for quantum computation. Phys. Rev. A 52, 3457–3467 (1995)
Vartiainen, J.J., Möttönen, M., Salomaa, M.M.: Efficient decomposition of quantum gates. Phys. Rev. Lett. 92, 177902 (2004)
Daskin, A., Kais, S.: Decomposition of unitary matrices for finding quantum circuits: application to molecular Hamiltonians. J Chem. Phys. 134, 144112 (2011)
Monz, T., et al.: Realization of the quantum toffoli gate with trapped ions. Phys. Rev. Lett. 102, 040501 (2009)
Acknowledgments
We are grateful to the patient and professional guidance of the anonymous reviewer. This work is supported by the National Natural Science Foundation of China (No. 61104002 and No. 60904034), the Natural Science Foundation of Jiangsu Province (No. BK2011283).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, X., Jiang, M., Chen, X. et al. Quantum state sharing of an arbitrary three-qubit state by using three sets of W-class states. Quantum Inf Process 12, 2405–2416 (2013). https://doi.org/10.1007/s11128-013-0532-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-013-0532-x