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Quantum Information Processing

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01-10-2013

The general theory of three-party quantum secret sharing protocols over phase-damping channels

Authors: Ting-Ting Song, Qiao-Yan Wen, Su-Juan Qin, Wei-Wei Zhang, Ying Sun

Published in: Quantum Information Processing | Issue 10/2013

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Abstract

The general theory of three-party QSS protocols with the noisy quantum channels is discussed. When the particles are transmitted through the noisy quantum channels, the initial pure three-qubit tripartite entangled states would be changed into mixed states. We analyze the security of QSS protocols with the different kinds of three-qubit tripartite entangled states under phase-damping channels and figure out, for different kinds of initial states, the successful probabilities that Alice’s secret can be recovered by legal agents are different. Comparing with one recent QSS protocol based on GHZ states, our scheme is secure, and has a little smaller key rate than that of the recent protocol.

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Bennett, C.H., Brassard, G.: Quantum Cryptography: Public Key Distribution and Coin Tossing, vol. 175, p. 175. Bangalore, India (1984)

Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)MathSciNetADSCrossRefMATH

Bennett, C.H., Brassard, G., Mermin, N.D.: Quantum cryptography without Bell’s theorem. Phys. Rev. Lett. 68, 557 (1992)MathSciNetADSCrossRefMATH

Braunstein, S.L., Pirandola, S.: Side-channel-free quantum key distribution. Phys. Rev. Lett. 108, 130502 (2012)ADSCrossRef

Lo, H.-K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)ADSCrossRef

Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Koy, Lam, P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)

Gordon, G., Rigolin, G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)ADSCrossRef

Zhang, Z.-J.: Robust multiparty quantum secret key sharing over two collective-noise channels. Phys. A: Stat. Mech. Its Appl. 361, 233 (2006)ADSCrossRef

Dür, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 062314 (2000)MathSciNetADSCrossRef

10.

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

11.

Adhikari, S., Chakrabarty, I., Agrawal, P.: Probabilistic secret sharing through noisy quantum channel. Quant. Inf. Comp. 12, 253 (2012)MathSciNetMATH

12.

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

13.

Demkowicz-Dobrzański, R., De Sen, A., Sen, U., Lewenstein, M.: Phys. Rev. A 80, 012311 (2009)

14.

Maitra, S., Nandi, K.: Cryptanalysis of a secret sharing scheme that uses quantum resources. Quant. Inf. Comp. 13, 178 (2013)

15.

Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)ADSCrossRef

16.

Wójcik, A.: Eavesdropping on the “ping-pong” quantum communication protocol. Phys. Rev. Lett. 90, 157901 (2003)ADSCrossRef

17.

Qi, B., Fung, C.-H.F., Lo, H.-K., Ma, X.: Time-shift attack in practical quantum cryptosystems. Quant. Inf. Comp. 7, 073 (2007)MathSciNet

Title: The general theory of three-party quantum secret sharing protocols over phase-damping channels
Authors: Ting-Ting Song
Qiao-Yan Wen
Su-Juan Qin
Wei-Wei Zhang
Ying Sun
Publication date: 01-10-2013
Publisher: Springer US
Published in: Quantum Information Processing / Issue 10/2013
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-013-0600-2

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