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Quantum Information Processing
Published in: Quantum Information Processing 11/2018

01-11-2018

Restricted (k, n)-threshold quantum secret sharing scheme based on local distinguishability of orthogonal multiqudit entangled states

Authors: Chen-Ming Bai, Zhi-Hui Li, Jing-Tao Wang, Cheng-Ji Liu, Yong-Ming Li

Published in: Quantum Information Processing | Issue 11/2018

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Abstract

In this work, we study a restricted (k, n)-threshold access structure. According to this structure, we construct a group of orthogonal multipartite entangled states in d-dimensional system and investigate the distinguishability of these entangled states under restricted local operations and classical communication. Based on these properties, we propose a restricted (k, n)-threshold quantum secret sharing scheme (called LOCC-QSS scheme). The k cooperating players in the restricted threshold scheme come from all disjoint groups. In the proposed protocol, the participants distinguish these orthogonal states by the computational basis measurement and classical communication to reconstruct the original secret. Furthermore, we also analyze the security of our scheme in three primary quantum attacks and give a simple encoding method in order to better prevent the participant conspiracy attack.
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Literature
1.
Bennet, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the International Conference on Computers, Systems and Signal Processing (1984)
2.
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302 (2002)ADSCrossRef
3.
Amiri, R., Arrazola, J.M.: Quantum money with nearly optimal error tolerance. Phys. Rev. A 95, 062334 (2017)ADSCrossRef
4.
Gao, F.: Postprocessing of the oblivious key in quantum private query. IEEE J. Sel. Top. Quant. 21, 6600111 (2015)ADS
5.
Wei, C.Y., et al.: Practical quantum private query with better performance in resisting joint-measurement attack. Phys. Rev. A 93, 042318 (2016)ADSCrossRef
6.
Wei, C.Y., Cai, X.Q., Liu, B.: A generic construction of quantum-oblivious-key-transfer-based private query with ideal database security and zero failure. IEEE Trans. Comput. 67, 2–8 (2018)MathSciNetCrossRef
7.
Shi, R.H., et al.: Quantum oblivious set-member decision protocol. Phys. Rev. A 92, 022309 (2015)ADSCrossRef
8.
Shi, R., Mu, Y., Zhong, H., et al.: Quantum private set intersection cardinality and its application to anonymous authentication. Inf. Sci. 370, 147–158 (2016)CrossRef
9.
10.
Blakley, G.R.: In: Proceedings of the National Computer Conference (AFIPS, 1979), pp. 313–317 (1979)
11.
12.
Cleve, R., Gottesman, D., Lo, H.-K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648 (1999)ADSCrossRef
13.
14.
15.
Zukowski, M., Zeilinger, A., Horne, M.A., et al.: Quest for GHZ states. Acta Phys. Pol. A 93, 187 (1998)CrossRef
16.
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162 (1999)ADSCrossRef
17.
Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)ADSCrossRef
18.
Hsu, L.Y., Li, C.M.: Quantum secret sharing using product states. Phys. Rev. A 71, 022321 (2005)ADSCrossRef
19.
Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69(5), 052319 (2004)ADSCrossRef
20.
Wei, K.J., Ma, H.Q., Yang, J.H.: Experimental circular quantum secret sharing over telecom fiber network. Opt. Express 21(14), 16663–16669 (2013)ADSCrossRef
21.
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)ADSCrossRef
22.
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 (2005)ADSCrossRef
23.
Gordon, G., Rigolin, G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)ADSCrossRef
24.
Bai, C.M., Li, Z.H., Xu, T.T., Li, Y.M.: A generalized information theoretical model for quantum secret sharing. Int. J. Theor. Phys. 55, 4972–4986 (2016)CrossRef
25.
Karimipour, V., Asoudeh, M.: Quantum secret sharing and random hopping: using single states instead of entanglement. Phys. Rev. A 92, 030301(R) (2015)ADSMathSciNetCrossRef
26.
Gheorghiu, V., Sanders, B.C.: Accessing quantum secrets via local operations and classical communication. Phys. Rev. A 88(2), 022340 (2013)ADSCrossRef
27.
Tavakoli, A., Herbauts, I., Zukowski, M., Bourennane, M.: Secret sharing with a single \(d\)-level quantum system. Phys. Rev. A 92, 030302(R) (2015)ADSCrossRef
28.
Maitra, A., De, S.J., Paul, G., Pal, A.K.: Proposal for quantum rational secret sharing. Phys. Rev. A 92, 022305 (2015)ADSCrossRef
29.
Rahaman, R., Parker, M.G.: Quantum scheme for secret sharing based on local distinguishability. Phys. Rev. A 91, 022330 (2015)ADSCrossRef
30.
Yang, Y.H., Gao, F., Wu, X.: Quantum secret sharing via local operations and classical communication. Sci. Rep. 5, 16967–16967 (2015)ADSCrossRef
31.
Bai, C.M., Li, Z.H., Xu, T.T.: Quantum secret sharing using the \(d\)-dimensional GHZ state. Quantum Inf. Process. 16, 59 (2017)ADSMathSciNetCrossRef
32.
Wang, J., Li, L., Peng, H., Yang, Y.: Quantum-secret-sharing scheme based on local distinguishability of orthogonal multiqudit entangled states. Phys. Rev. A 95(2), 022320 (2017)ADSCrossRef
33.
Bai, C.M., Li, Z.H., Liu, C.J.: Quantum secret sharing using orthogonal multiqudit entangled states. Quantum Inf. Process. 16, 304 (2017)ADSMathSciNetCrossRef
34.
Song, T.T.: Participant attack on quantum secret sharing based on entanglement swapping. Chin. Phys. B 18(4), 1333 (2009)ADSCrossRef
35.
Guo, F.-Z.: Participant attack on a kind of MQSS schemes based on entanglement swapping. Eur. Phys. J. D 56(3), 445–448 (2010)ADSCrossRef
Metadata
Title
Restricted (k, n)-threshold quantum secret sharing scheme based on local distinguishability of orthogonal multiqudit entangled states
Authors
Chen-Ming Bai
Zhi-Hui Li
Jing-Tao Wang
Cheng-Ji Liu
Yong-Ming Li
Publication date
01-11-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-2080-x

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