Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Quantum Information Processing
Erschienen 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

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

Erschienen in: Quantum Information Processing | Ausgabe 9/2014

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

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.
Vorheriger Artikel Controlled secret sharing protocol using a quantum cloning circuit
Nächster Artikel Orthogonal-state-based deterministic secure quantum communication without actual transmission of the message qubits

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2002)
2.
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.
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.
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.
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302–032304 (2002)CrossRefADS
6.
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
7.
8.
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
9.
10.
11.
Xiao, L., Long, G.L., Deng, F.G., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307–052311 (2004)CrossRefADS
12.
13.
Song, S.Y., Wang, C.: Recent development in quantum communication. Chin. Sci. Bull. 57, 4694–4700 (2012)CrossRef
14.
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.
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
16.
17.
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.
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.
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.
Tittel, W., Zbinden, H., Gisin, N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63, 042301–042306 (2001)CrossRefADS
21.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Xiao, H.L., Gao, J.L.: Multi-party d-level quantum secret sharing scheme. Int. J. Theor. Phys. 52, 2071–2082 (2013)MathSciNet
34.
Yeo, Y., Chua, W.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502–060505 (2006)CrossRefADS
35.
Osterloh, A., Siewert, J.: Constructing N-qubit entanglement monotones from antilinear operators. Phys. Rev. A 72, 012337–012340 (2005)CrossRefADS
36.
Wu, C., Yeo, Y., Kwek, L., Oh, C.: Quantum nonlocality of four-qubit entangled states. Phys. Rev. A 75, 032332–032327 (2007)MathSciNetCrossRefADS
37.
Gao, G.: Quantum key distribution by swapping the entanglement of \(\chi \)-type state. Phys. Scr. 81, 65005–65009 (2010)CrossRef
38.
39.
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.
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.
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.
Wang, H.F., Zhang, S.: Linear optical generation of multipartite entanglement with conventional photon detectors. Phys. Rev. A 79, 042336–042343 (2009)CrossRefADS
43.
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.
Lin, X.: Scheme for generating a \(\chi \)-type four-atom entangled state in cavity QED. Chin. Phys. Lett. 27, 044207–044209 (2010)CrossRefADS
45.
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.
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.
Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306–052310 (2000)CrossRefADS
48.
Stinespring, W.F.: Positive functions on \(C^{\ast }\)-algebras. Proc. Am. Math. Soc. 6, 211–216 (1955)MathSciNetMATH
49.
50.
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.
Coles, P.J., Colbeck, R., Yu, L., Zwolak, M.: Uncertainty relations from simple entropic properties. Phys. Rev. Lett. 108, 210405–210409 (2012)CrossRefADS
52.
53.
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.
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.
Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5635–5638 (2000)CrossRefADS
Metadaten
Titel
Multi-party quantum state sharing of an arbitrary multi-qubit state via -type entangled states
verfasst von
Shuang-Yong Kang
Xiu-Bo Chen
Yi-Xian Yang
Publikationsdatum
01.09.2014
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 9/2014
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-014-0800-4

Weitere Artikel der Ausgabe 9/2014

Quantum Information Processing 9/2014 Zur Ausgabe

OriginalPaper

On implementing nondestructive triplet Toffoli gate with entanglement swapping operations via the GHZ state analysis

OriginalPaper

Two efficient schemes for probabilistic remote state preparation and the combination of both schemes

OriginalPaper

Analysis and improvement of the dynamic watermarking scheme for quantum images using quantum wavelet transform

OriginalPaper

Entanglement rebirth of multi-trapped ions with trap phonon modes: entanglement sudden death with recovery

OriginalPaper

Efficient quantum algorithms to construct arbitrary Dicke states

OriginalPaper

Forgery attack on one-time proxy signature and the improvement

Neuer Inhalt

    Bildnachweise