Skip to main content
Top
Published in: Quantum Information Processing 9/2014

01-09-2014

Multi-party quantum state sharing of an arbitrary multi-qubit state via \(\chi \)-type entangled states

Authors: Shuang-Yong Kang, Xiu-Bo Chen, Yi-Xian Yang

Published in: Quantum Information Processing | Issue 9/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

By using the \(\chi \)-type entangled states, a novel scheme for multi-party quantum state sharing (MQSTS) of an arbitrary multi-qubit state is investigated. It is shown that the MQSTS scheme can be faithfully realized by performing appropriate Bell state measurements, Z basis measurements and local unitary operations, rather than multi-qubit entanglement or multi-particle joint measurements. Thus, our MQSTS scheme is more convenient in a practical application than some previous schemes. Furthermore, its intrinsic efficiency for qubits approaches 100 %, and the total efficiency really approaches the maximal value, which is higher than those of the previous MQSTS schemes. Finally, we analyze the security from the views of participant attack and outside attack in detail.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2002) Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2002)
2.
go back to reference Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. IEEE International Conference on Computers, Systems, and Signal Processing, pp. 175–179. IEEE, New York (1984) Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. IEEE International Conference on Computers, Systems, and Signal Processing, pp. 175–179. IEEE, New York (1984)
3.
go back to reference Bennett, C.H., Brassard, G., Crepeau, 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, 1895–1899 (1993)MathSciNetCrossRefADSMATH Bennett, C.H., Brassard, G., Crepeau, 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, 1895–1899 (1993)MathSciNetCrossRefADSMATH
4.
go back to reference Chen, X.B., Xu, G., Su, Y., Yang, Y.X., Wen, Q.Y.: Centrally controlled quantum teleportation. Opt. Commun. 283, 4802–4809 (2010)CrossRefADS Chen, X.B., Xu, G., Su, Y., Yang, Y.X., Wen, Q.Y.: Centrally controlled quantum teleportation. Opt. Commun. 283, 4802–4809 (2010)CrossRefADS
5.
go back to reference Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302–032304 (2002)CrossRefADS Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302–032304 (2002)CrossRefADS
6.
go back to reference Liu, Z., Chen, H., Liu, W., Xu, J., Wang, D., Li, Z.: Quantum secure direct communication with optimal quantum superdense coding by using general four-qubit states. Quantum Inf. Process. 12, 587–599 (2013)MathSciNetCrossRefADSMATH Liu, Z., Chen, H., Liu, W., Xu, J., Wang, D., Li, Z.: Quantum secure direct communication with optimal quantum superdense coding by using general four-qubit states. Quantum Inf. Process. 12, 587–599 (2013)MathSciNetCrossRefADSMATH
8.
go back to reference Wang, M.M., Chen, X.B., Yang, Y.X.: Comment on “high-dimensional deterministic multiparty quantum secret sharing without unitary operations”. Quantum Inf. Process. 12, 785–792 (2013)MathSciNetCrossRefADSMATH Wang, M.M., Chen, X.B., Yang, Y.X.: Comment on “high-dimensional deterministic multiparty quantum secret sharing without unitary operations”. Quantum Inf. Process. 12, 785–792 (2013)MathSciNetCrossRefADSMATH
11.
go back to reference Xiao, L., Long, G.L., Deng, F.G., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307–052311 (2004)CrossRefADS Xiao, L., Long, G.L., Deng, F.G., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307–052311 (2004)CrossRefADS
13.
go back to reference Song, S.Y., Wang, C.: Recent development in quantum communication. Chin. Sci. Bull. 57, 4694–4700 (2012)CrossRef Song, S.Y., Wang, C.: Recent development in quantum communication. Chin. Sci. Bull. 57, 4694–4700 (2012)CrossRef
14.
go back to reference Deng, F.G., Zhou, H.Y., Long, G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329–334 (2005)CrossRefADSMATH Deng, F.G., Zhou, H.Y., Long, G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329–334 (2005)CrossRefADSMATH
15.
go back to reference Deng, F.G., Long, G.L., Zhou, H.Y.: An efficient quantum secret sharing scheme with Einstein–Podolsky–Rosen pairs. Phys. Lett. A 340, 43–50 (2005)CrossRefADSMATH Deng, F.G., Long, G.L., Zhou, H.Y.: An efficient quantum secret sharing scheme with Einstein–Podolsky–Rosen pairs. Phys. Lett. A 340, 43–50 (2005)CrossRefADSMATH
17.
go back to reference Hao, L., Li, J.L., Long, G.L.: Eavesdropping in a quantum secret sharing protocol based on Grover algorithm and its solution. Sci. China Phys. Mech. Astron. 53, 491–495 (2010)CrossRefADS Hao, L., Li, J.L., Long, G.L.: Eavesdropping in a quantum secret sharing protocol based on Grover algorithm and its solution. Sci. China Phys. Mech. Astron. 53, 491–495 (2010)CrossRefADS
18.
go back to reference Jiang, M., Huang, X., Zhou, L.L., et al.: Quantum state transformation and general design scheme on teleportation protocols. Chin. Sci. Bull. 57, 2247–2251 (2012)CrossRef Jiang, M., Huang, X., Zhou, L.L., et al.: Quantum state transformation and general design scheme on teleportation protocols. Chin. Sci. Bull. 57, 2247–2251 (2012)CrossRef
19.
go back to reference Chen, X.B., Yang, S., Xu, G., Su, Y., Yang, Y.X.: Cryptanalysis of the quantum state sharing protocol using four sets of W-class state. Int. J. Quantum Inf. 11, 1350010–1350021 (2013)MathSciNetCrossRef Chen, X.B., Yang, S., Xu, G., Su, Y., Yang, Y.X.: Cryptanalysis of the quantum state sharing protocol using four sets of W-class state. Int. J. Quantum Inf. 11, 1350010–1350021 (2013)MathSciNetCrossRef
20.
go back to reference Tittel, W., Zbinden, H., Gisin, N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63, 042301–042306 (2001)CrossRefADS Tittel, W., Zbinden, H., Gisin, N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63, 042301–042306 (2001)CrossRefADS
21.
go back to reference Hao, L., Wang, C., Long, G.L.: Quantum secret sharing protocol with four state Grover algorithm and its proof-of-principle experimental demonstration. Opt. Commun. 284, 3639–3642 (2011)CrossRefADS Hao, L., Wang, C., Long, G.L.: Quantum secret sharing protocol with four state Grover algorithm and its proof-of-principle experimental demonstration. Opt. Commun. 284, 3639–3642 (2011)CrossRefADS
22.
go back to reference Wei, K.J., Ma, H.Q., Yang, J.H.: Experimental circular quantum secret sharing over telecom fiber network. Opt. Express 21, 16663–16669 (2013)CrossRefADS Wei, K.J., Ma, H.Q., Yang, J.H.: Experimental circular quantum secret sharing over telecom fiber network. Opt. Express 21, 16663–16669 (2013)CrossRefADS
23.
go back to reference Chen, X.B., Niu, X.X., Zhou, X.J., Yang, Y.X.: Multi-party quantum secret sharing with the single-particle quantum state to encode the information. Quantum Inf. Process. 12, 365–380 (2013)MathSciNetCrossRefADSMATH Chen, X.B., Niu, X.X., Zhou, X.J., Yang, Y.X.: Multi-party quantum secret sharing with the single-particle quantum state to encode the information. Quantum Inf. Process. 12, 365–380 (2013)MathSciNetCrossRefADSMATH
24.
go back to reference Wang, T.Y., Wen, Q.Y., Chen, X.B.: An efficient and secure multiparty quantum secret sharing scheme based on single photons. Opt. Commun. 281, 6130–6134 (2008)CrossRefADS Wang, T.Y., Wen, Q.Y., Chen, X.B.: An efficient and secure multiparty quantum secret sharing scheme based on single photons. Opt. Commun. 281, 6130–6134 (2008)CrossRefADS
25.
go back to reference 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, 044301–044304 (2005)CrossRefADS 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, 044301–044304 (2005)CrossRefADS
26.
go back to reference Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321–032327 (2008)CrossRefADS Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321–032327 (2008)CrossRefADS
27.
go back to reference Zhang, Q.Y., Zhan, Y.B., Zhang, L.L., Ma, P.C.: Schemes for splitting quantum information via tripartite entangled states. Int. J. Theor. Phys. 48, 3331–3338 (2009)MathSciNetCrossRefMATH Zhang, Q.Y., Zhan, Y.B., Zhang, L.L., Ma, P.C.: Schemes for splitting quantum information via tripartite entangled states. Int. J. Theor. Phys. 48, 3331–3338 (2009)MathSciNetCrossRefMATH
28.
go back to reference 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, 53–61 (2011)MathSciNetCrossRefMATH 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, 53–61 (2011)MathSciNetCrossRefMATH
29.
30.
go back to reference Tsai, C.W., Hwang, T.: Multi-party quantum secret sharing based on two special entangled states. Sci. China Phys. Mech. Astron. 55, 460–464 (2012)CrossRefADS Tsai, C.W., Hwang, T.: Multi-party quantum secret sharing based on two special entangled states. Sci. China Phys. Mech. Astron. 55, 460–464 (2012)CrossRefADS
31.
go back to reference Li, Z., Long, L.R., Zhou, P., et al.: Probabilistic multiparty-controlled teleportation of an arbitrary m-qubit state with a pure entangled quantum channel against collective noise. Sci. China Phys. Mech. Astron. 55, 2445–2451 (2012)MathSciNetCrossRefADS Li, Z., Long, L.R., Zhou, P., et al.: Probabilistic multiparty-controlled teleportation of an arbitrary m-qubit state with a pure entangled quantum channel against collective noise. Sci. China Phys. Mech. Astron. 55, 2445–2451 (2012)MathSciNetCrossRefADS
32.
go back to reference Jiang, M., Dong, D.Y.: An efficient scheme for multi-party quantum state sharing of an arbitrary multi-qubit state with one GHZ channel. Quantum Inf. Process. 12, 841–851 (2013)MathSciNetCrossRefADSMATH Jiang, M., Dong, D.Y.: An efficient scheme for multi-party quantum state sharing of an arbitrary multi-qubit state with one GHZ channel. Quantum Inf. Process. 12, 841–851 (2013)MathSciNetCrossRefADSMATH
33.
go back to reference Xiao, H.L., Gao, J.L.: Multi-party d-level quantum secret sharing scheme. Int. J. Theor. Phys. 52, 2071–2082 (2013)MathSciNet Xiao, H.L., Gao, J.L.: Multi-party d-level quantum secret sharing scheme. Int. J. Theor. Phys. 52, 2071–2082 (2013)MathSciNet
34.
go back to reference Yeo, Y., Chua, W.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502–060505 (2006)CrossRefADS Yeo, Y., Chua, W.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502–060505 (2006)CrossRefADS
35.
go back to reference Osterloh, A., Siewert, J.: Constructing N-qubit entanglement monotones from antilinear operators. Phys. Rev. A 72, 012337–012340 (2005)CrossRefADS Osterloh, A., Siewert, J.: Constructing N-qubit entanglement monotones from antilinear operators. Phys. Rev. A 72, 012337–012340 (2005)CrossRefADS
36.
37.
go back to reference Gao, G.: Quantum key distribution by swapping the entanglement of \(\chi \)-type state. Phys. Scr. 81, 65005–65009 (2010)CrossRef Gao, G.: Quantum key distribution by swapping the entanglement of \(\chi \)-type state. Phys. Scr. 81, 65005–65009 (2010)CrossRef
39.
go back to reference Wang, X.W., Yang, G.J.: Generation and discrimination of a type of four-partite entangled state. Phys. Rev. A 78, 024301–024304 (2008)MathSciNetCrossRefADS Wang, X.W., Yang, G.J.: Generation and discrimination of a type of four-partite entangled state. Phys. Rev. A 78, 024301–024304 (2008)MathSciNetCrossRefADS
40.
go back to reference Shi, Y.L., Mei, F., Yu, Y.F., Feng, X.L., Zhang, Z.M.: Generation of a genuine four-particle entangled state of trap ions. Quantum Inf. Process. 11, 229–234 (2011)CrossRef Shi, Y.L., Mei, F., Yu, Y.F., Feng, X.L., Zhang, Z.M.: Generation of a genuine four-particle entangled state of trap ions. Quantum Inf. Process. 11, 229–234 (2011)CrossRef
41.
go back to reference Wang, X.W.: Method for generating a new class of multipartite entangled state in cavity quantum electrodynamics. Opt. Commun. 282, 1052–1055 (2009)CrossRefADS Wang, X.W.: Method for generating a new class of multipartite entangled state in cavity quantum electrodynamics. Opt. Commun. 282, 1052–1055 (2009)CrossRefADS
42.
go back to reference Wang, H.F., Zhang, S.: Linear optical generation of multipartite entanglement with conventional photon detectors. Phys. Rev. A 79, 042336–042343 (2009)CrossRefADS Wang, H.F., Zhang, S.: Linear optical generation of multipartite entanglement with conventional photon detectors. Phys. Rev. A 79, 042336–042343 (2009)CrossRefADS
43.
go back to reference Liu, G.Y., Kuang, L.M.: Production of genuine entangled states of four atomic qubits. J. Phys. B At. Mol. Opt. Phys. 42, 165505–165509 (2009)CrossRefADS Liu, G.Y., Kuang, L.M.: Production of genuine entangled states of four atomic qubits. J. Phys. B At. Mol. Opt. Phys. 42, 165505–165509 (2009)CrossRefADS
44.
go back to reference Lin, X.: Scheme for generating a \(\chi \)-type four-atom entangled state in cavity QED. Chin. Phys. Lett. 27, 044207–044209 (2010)CrossRefADS Lin, X.: Scheme for generating a \(\chi \)-type four-atom entangled state in cavity QED. Chin. Phys. Lett. 27, 044207–044209 (2010)CrossRefADS
45.
go back to reference Dong, L., Xiu, X.M., Gao, Y.J., Yi, X.X.: A nearly deterministic scheme for generating \(\chi \)-type entangled states with weak cross-Kerr nonlinearities. Quantum Inf. Process. 12, 1787–1795 (2013)MathSciNetCrossRefADSMATH Dong, L., Xiu, X.M., Gao, Y.J., Yi, X.X.: A nearly deterministic scheme for generating \(\chi \)-type entangled states with weak cross-Kerr nonlinearities. Quantum Inf. Process. 12, 1787–1795 (2013)MathSciNetCrossRefADSMATH
46.
go back to reference Kang, S.Y., Chen, X.B., Yang, Y.X.: Quantum teleportation and state sharing via a generalized seven-qubit brown state. Int. J. Theor. Phys. 52, 3413–3431 (2013)CrossRefMATH Kang, S.Y., Chen, X.B., Yang, Y.X.: Quantum teleportation and state sharing via a generalized seven-qubit brown state. Int. J. Theor. Phys. 52, 3413–3431 (2013)CrossRefMATH
47.
go back to reference Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306–052310 (2000)CrossRefADS Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306–052310 (2000)CrossRefADS
48.
go back to reference Stinespring, W.F.: Positive functions on \(C^{\ast }\)-algebras. Proc. Am. Math. Soc. 6, 211–216 (1955)MathSciNetMATH Stinespring, W.F.: Positive functions on \(C^{\ast }\)-algebras. Proc. Am. Math. Soc. 6, 211–216 (1955)MathSciNetMATH
50.
go back to reference Berta, M., Christandl, M., Colbeck, R., Renes, J.M., Renner, R.: The uncertainty principle in the presence of quantum memory. Nat. Phys. (2010). doi:10.1038/nphys1734-1745 Berta, M., Christandl, M., Colbeck, R., Renes, J.M., Renner, R.: The uncertainty principle in the presence of quantum memory. Nat. Phys. (2010). doi:10.​1038/​nphys1734-1745
51.
go back to reference Coles, P.J., Colbeck, R., Yu, L., Zwolak, M.: Uncertainty relations from simple entropic properties. Phys. Rev. Lett. 108, 210405–210409 (2012)CrossRefADS Coles, P.J., Colbeck, R., Yu, L., Zwolak, M.: Uncertainty relations from simple entropic properties. Phys. Rev. Lett. 108, 210405–210409 (2012)CrossRefADS
53.
go back to reference Dur, W., Briegel, H.J., Cirac, J.I., Zoller, P.: Quantum repeaters based on entanglement purification. Phys. Rev. A 59, 169–181 (1999)CrossRefADS Dur, W., Briegel, H.J., Cirac, J.I., Zoller, P.: Quantum repeaters based on entanglement purification. Phys. Rev. A 59, 169–181 (1999)CrossRefADS
54.
go back to reference Briegel, H.J., Dur, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998)CrossRefADS Briegel, H.J., Dur, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998)CrossRefADS
55.
go back to reference Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5635–5638 (2000)CrossRefADS Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5635–5638 (2000)CrossRefADS
Metadata
Title
Multi-party quantum state sharing of an arbitrary multi-qubit state via -type entangled states
Authors
Shuang-Yong Kang
Xiu-Bo Chen
Yi-Xian Yang
Publication date
01-09-2014
Publisher
Springer US
Published in
Quantum Information Processing / Issue 9/2014
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-014-0800-4

Other articles of this Issue 9/2014

Quantum Information Processing 9/2014 Go to the issue