nach oben

Optical and Quantum Electronics

Erschienen in:

01.04.2018

Efficient quantum secret sharing based on special multi-dimensional GHZ state

verfasst von: Huawang Qin, Raylin Tso

Erschienen in: Optical and Quantum Electronics | Ausgabe 4/2018

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

An efficient quantum secret sharing scheme based on multi-dimensional GHZ state is proposed. The dealer performs the special unitary operation on the special n-dimensional n-particle GHZ state to encode the secret, and uses the distinguishability of two nonorthogonal basis to protect the secret, but the participants can get the secret through measuring the state in either basis. So every particle can be used to bring secret information, and the utilization ratio of the particles is much higher than the BB84 protocol. Besides, the multi-dimensional particle can bring more information than the traditional 2-dimensional particle. Compared to the existing schemes based on the BB84 protocol, our scheme will be more efficient in practice.

Vorheriger Artikel FWM in DCF based four-input all-optical NOR/AND gate

Nächster Artikel Enhancement of the electromagnetic energy in the asymmetric split rings with compensated microstructures

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

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+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 "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

Asadpour, S.H., Hamedi, H.R.: Giant Kerr nonlinearity in an n-doped semiconductor quantum well. Opt. Quant. Electron. 45, 11–20 (2013)CrossRef

Asadpour, S.H., Soleimani, H.R.: Phase control of optical bistability based biexciton coherence in a quantum dot nanostructure. Phys. B 440, 124–129 (2014a)ADSCrossRef

Asadpour, S.H., Soleimani, H.R.: Phase control of optical bistability based biexciton coherence in a quantum dot nanostructure. Phys. B 440, 124–129 (2014b)ADSCrossRef

Asadpour, S.H., Hamedi, H.R., Soleimani, H.R.: Optical bistability and multistability in an open ladder-type atomic system. J. Mod. Opt. 60, 659–665 (2013a)ADSCrossRef

Asadpour, S.H., Jaberi, M., Soleimani, H.R.: Phase control of optical bistability and multistability via spin coherence in a quantum well waveguide. J. Opt. Soc. Am. B 30, 1815–1820 (2013b)ADSCrossRef

Cao, H., Ma, W.P.: (t, n) threshold quantum state sharing scheme based on linear equations and unitary operation. IEEE Photon. J. 9, 1–7 (2017)

Chen, R.K., Zhang, Y.Y., Shi, J.H., et al.: A multiparty error-correcting method for quantum secret sharing. Quantum Inf. Process. 13, 21–31 (2014)ADSCrossRefMATH

Chen, X.B., Dou, Z., Xu, G., et al.: A kind of university quantum secret sharing protocol. Sci. Rep. 7, 39845 (2017). https://doi.org/10.1038/srep39845 ADSCrossRef

Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648–651 (1999)ADSCrossRef

Dehkordi, M.H., Fattahi, E.: Threshold quantum secret sharing between multiparty and multiparty using Greenberger–Horne–Zeilinger state. Quantum Inf. Process. 12, 1299–1306 (2013)ADSCrossRefMATH

Gao, G.: Secure multiparty quantum secret sharing with the collective eavesdropping-check character. Quantum Inf. Process. 12, 55–68 (2013)ADSMathSciNetCrossRefMATH

Gao, F., Qin, S.J., Wen, Q.Y., et al.: Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger–Horne–Zeilinger state. Opt. Commun. 382, 192–195 (2010)ADSCrossRef

Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)ADSMathSciNetCrossRefMATH

Hsu, J.L., Chong, S.K., Hwang, T., et al.: Dynamic quantum secret sharing. Quantum Inf. Process. 12, 331–344 (2013)ADSMathSciNetCrossRefMATH

Kogias, I., Xiang, Y., He, Q.Y., et al.: Unconditional security of entanglement-based continuous-variable quantum secret sharing. Phys. Rev. A 95, 012315 (2017). https://doi.org/10.1103/PhysRevA.95.012315 ADSCrossRef

Lau, H.K., Weedbrook, C.: Quantum secret sharing with continuous-variable cluster states. Phys. Rev. A 88, 042313 (2013). https://doi.org/10.1103/PhysRevA.88.042313 ADSCrossRef

Li, Q., Long, D.Y., Chan, W.H., et al.: Sharing a quantum secret without a trusted party. Quantum Inf. Process. 10, 97–106 (2011)MathSciNetCrossRefMATH

Li, J.H., Yu, R., Yang, X.: Phase-controlled absorption-gain properties and optical switching in nanodiamond nitrogen-vacancy center. Appl. Phys. B 111, 65–73 (2013a)ADSCrossRef

Li, J.H., Yu, R., Wu, Y.: Propagation of magnetically controllable lasers and magneto-optic dual switching using nitrogen-vacancy centers in diamond. J. Appl. Phys. 113, 103104 (2013b). https://doi.org/10.1063/1.4795275 ADSCrossRef

Liu, L.L., Tsai, C.W., Hwang, T.: Quantum secret sharing using symmetric W state. Int. J. Theor. Phys. 51, 2291–2306 (2012)MathSciNetCrossRefMATH

Liu, F., Qin, S.J., Wen, Q.Y.: A quantum secret-sharing protocol with fairness. Phys. Scr. 89, 075104 (2014)ADSCrossRef

Matsumoto, R.: Quantum optimal multiple assignment scheme for realizing general access structure of secret sharing. IEICE Trans. Fund. Electron. 100, 726–728 (2017)ADSCrossRef

Prataviera, G.A., Yoshida, A.C., Mizrahi, S.S.: Mean-field optical bistability of two-level atoms in structured reservoirs. Phys. Rev. A 87, 043831 (2013). https://doi.org/10.1103/PhysRevA.87.043831 ADSCrossRef

Qin, H.W., Dai, Y.W.: Dynamic quantum secret sharing by using d-dimensional GHZ state. Quantum Inf. Process. 16, 1–13 (2017)MathSciNetCrossRefMATH

Sarvepalli, P.K., Klappenecker, A.: Sharing classical secrets with Calderbank-Shor-Steane codes. Phys. Rev. A 80, 022321 (2009). https://doi.org/10.1103/PhysRevA.80.022321 ADSMathSciNetCrossRefMATH

Shamir, A.: How to share a secret. Commun. ACM 22, 612–613 (1979)MathSciNetCrossRefMATH

Shi, R.H., Lv, G.L., Wang, Y., et al.: On quantum secret sharing via Chinese remainder theorem with the non-maximally entanglement state analysis. Int. J. Theor. Phys. 52, 539–548 (2013)CrossRefMATH

Tseng, H.Y., Tsai, C.W., Hwang, T., et al.: Quantum secret sharing based on quantum search algorithm. Int. J. Theor. Phys. 51, 3101–3108 (2012)MathSciNetCrossRefMATH

Tyc, T., Sanders, B.C.: How to share a continuous-variable quantum secret by optical interferometry. Phys. Rev. A 65, 042310 (2002). https://doi.org/10.1103/PhysRevA.65.042310 ADSCrossRef

Wang, H.B., Huang, Y.G., Fang, X., et al.: High-capacity three-party quantum secret sharing with single photons in both the polarization and the spatial-mode degrees of freedom. Int. J. Theor. Phys. 52, 1043–1051 (2013)MathSciNetCrossRefMATH

Wang, J.T., Xu, G., Chen, X.B., et al.: Local distinguishability of Dicke states in quantum secret sharing. Phys. Lett. A 381, 998–1002 (2017)ADSMathSciNetCrossRefMATH

Wu, Y.: Two-color ultraslow optical solitons via four-wave mixing in cold-atom media. Phys. Rev. A 71, 053820 (2005). https://doi.org/10.1103/PhysRevA.71.053820 ADSCrossRef

Wu, Y., Deng, L.: Ultraslow bright and dark optical solitons in a cold three-state medium. Opt. Lett. 29, 2064–2066 (2004)ADSCrossRef

Yang, Y.G., Jia, X., Wang, H.Y., et al.: Verifiable quantum (k, n)-threshold secret sharing. Quantum Inf. Process. 11, 1619–1625 (2012)ADSMathSciNetCrossRef

Zhang, D., Yu, R., Li, J.H., Ding, C.L., Yang, X.X.: Laser-polarization-dependent and magnetically controlled optical bistability in diamond nitrogen-vacancy centers. Phys. Lett. A 377, 2621–2627 (2013)ADSCrossRef

Titel: Efficient quantum secret sharing based on special multi-dimensional GHZ state
verfasst von: Huawang Qin
Raylin Tso
Publikationsdatum: 01.04.2018
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 4/2018
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-018-1435-y

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 4/2018

Multispectral registration method based on stellar trajectory fitting

Design and optimization of thin film polarizer at the wavelength of 1540 nm using differential evolution algorithm

Raman spectroscopy and low temperature electrical conductivity study of thermally evaporated CdS thin films

The SNR improvement for quartz-enhanced photoacoustic spectroscopy using wavelength calibration and fiber reflector

New exact periodic elliptic wave solutions for extended quantum Zakharov–Kuznetsov equation

Enhancement of the electromagnetic energy in the asymmetric split rings with compensated microstructures