Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/verifiable-quantum-k-n-threshold-secret-sharing-pC1vgNCwI5
References (44)
-
Y. Sun, Q.Y. Wen, F.C. Zhu (2010)
Improving the multiparty quantum secret sharing over two collective-noise channels against insider attackOpt. Commun., 283
-
S.J. Qin, F. Gao, Q.Y. Wen, F.C. Zhu (2008)
A special attack on the multiparty quantum secret sharing of secure direct communication using single photonsOpt. Commun., 281
-
S. Lin, Q.Y. Wen, X.F. Liu (2009)
Cryptanalysis and improvement of quantum secret sharing protocol between multiparty and multiparty with single photons and unitary transformationsChin. Phys. Lett., 26
-
R. Cleve, D. Gottesman, H.-K. Lo (1999)
How to share a quantum secretPhys. Rev. Lett., 83
-
S. Lin, Q.Y. Wen, S.J. Qin, F.C. Zhu (2009)
Multiparty quantum secret sharing with collective eavesdropping-checkOpt. Commun., 282
-
L. Xiao, G.L. Long, F.G. Deng, J.W. Pan (2004)
Efficient multiparty quantum-secret-sharing schemesPhys. Rev. A, 69
-
Z.J. Zhang, Y. Li, Z.X. Man (2005)
Multiparty quantum secret sharingPhys. Rev. A, 71
-
F.G. Deng, H.Y. Zhou, G.L. Long (2005)
Bidirectional quantum secret sharing and secret splitting with polarized single photonsPhys. Lett. A, 337
-
H.F. Chau (2002)
Practical scheme to share a secret key through a quantum channel with a 27.6% bit error ratePhys. Rev. A, 66
-
T.Y. Wang, Q.Y. Wen, X.B. Chen, F.Z. Guo, F.C. Zhu (2008)
An efficient and secure multiparty quantum secret sharing scheme based on single photonsOpt. Commun., 281
-
F.Z. Guo, S.J. Qin, F. Gao, S. Lin, Q.Y. Wen, F.C. Zhu (2010)
Participant attack on a kind of MQSS schemes based on entanglement swappingEur. Phys. J. D, 56
-
L.Y. Hsu (2003)
Quantum secret-sharing protocol based on Grover’s algorithmPhys. Rev. A, 68
-
J. Song, S. Zhang (2006)
Secure quantum secret sharing based on reusable GHZ states as secure carriersChin. Phys. Lett., 23
-
M. Nielsen, I. Chuang (2000)
Quantum Computation and Quantum Information -
S. Lin, Q.Y. Wen, F. Gao, F.C. Zhu (2008)
Improving the security of multiparty quantum secret sharing based on the improved Bostrom-Felbinger protocolOpt. Commun., 281
-
Y. Lin, T. Wu (1999)
(t,n) Threshold verifiable multi secret sharing scheme based on factorization intractability and discrete logarithm modulo a composite problemsIEEE Proc. Comput. Digit. Tech., 146
-
F.G. Deng, X.H. Li (2006)
Multiparty quantum secret splitting and quantum state sharingPhys. Lett. A, 354
-
F.G. Deng, X.H. Li, H.Y. Zhou, Z.J. Zhang (2005)
Improving the security of multiparty quantum secret sharing against Trojan horse attackPhys. Rev. A, 72
-
A. Shamir (1979)
How to share a secretCommun. ACM, 22
-
S.J. Qin, F. Gao, Q.Y. Wen, F.C. Zhu (2006)
Improving the security of multiparty quantum secret sharing against an attack with a fake signalPhys. Lett. A, 357
-
A.M. Lance, T. Symul, W.P. Bowen, B.C. Sanders, P.K. Lam (2004)
Tripartite quantum state sharingPhys. Rev. Lett., 92
-
Y.G. Yang, Q.Y. Wen (2009)
Threshold multiparty quantum-information splitting via quantum channel encryptionInt. J. Quantum Inf., 7
-
J. Benaloh, J. Leichter (1989)
Advances generalized sharing and monotone functionsLect. Notes Comput. Sci., 403
-
M. Stadler (1996)
Publicly Verifiable Secret Sharing EUROCRYPT96 -
G.P. Guo, G.C. Guo (2003)
Quantum secret sharing without entanglementPhys. Lett. A, 310
-
M. Hillery, V. Buzek, A. Berthiaume (1999)
Quantum secret sharingPhys. Rev. A, 59
-
D. Gottesman (2000)
Theory of quantum secret sharingPhys. Rev. A, 61
-
F.G. Deng, X.H. Li, H.Y. Zhou, Z.J. Zhang (2005)
Erratum: Improving the security of multiparty quantum secret sharing against Trojan horse attack [PhysRev. A, 72
-
Z.J. Zhang, Z.X. Man (2005)
Multiparty quantum secret sharing of classical messages based on entanglement swappingPhys. Rev. A, 72
-
S. Bandyopadhyay (2000)
Teleportation and secret sharing with pure entangled statesPhys. Rev. A, 62
-
Y. Sun, Q.Y. Wen, F. Gao, X.B. Chen, F.C. Zhu (2009)
Multiparty quantum secret sharing based on Bell measurementOpt. Commun., 282
-
A. Karlsson, M. Koashi, N. Imoto (1999)
Quantum entanglement for secret sharing and secret splittingPhys. Rev. A, 59
-
Y.-G. Yang, Q.-Y. Wen (2008)
Circular threshold quantum secret sharingChin. Phys. B, 17
-
Z.J. Zhang, Y.M. Liu, M. Fang, D. Wang (2007)
Multiparty quantum secret sharing scheme of classical messages by swapping qudit-state entanglementInt. J. Mod. Phys. C, 18
-
T.Y. Wang, Q.Y. Wen, F. Gao, S. Lin, F.C. Zhu (2008)
Cryptanalysis and improvement of multiparty quantum secret sharing schemesPhys. Lett. A, 373
-
Y.M. Li, K.S. Zhang, K.C. Peng (2004)
Multiparty secret sharing of quantum information based on entanglement swappingPhys. Lett. A, 324
-
Y.Q. Zhang, X.R. Jin, S. Zhang (2005)
Secret sharing of quantum information via entanglement swapping in cavity QEDPhys. Lett. A, 341
-
Q. Li, D.Y. Long, W.H. Chan, D.W. Qiu (2011)
Sharing a quantum secret without a trusted partyQuantum Inf. Process., 10
-
E. Knarnin, J. Greene, M. Hellman (1983)
On secret sharing systemsIEEE Trans. Inf. Theory, 29
-
C. Asmuth, J. Bloom (1983)
A modular approach to key safeguardingIEEE Trans. Inf. Theory, 29
-
Z.J. Zhang, J. Yang, Z.X. Man, Y. Li (2005)
Multiparty secret sharing of quantum information using and identifying Bell statesEur. Phys. J. D, 33
-
B.-K. Li, Y.-G. Yang, Q.-Y. Wen (2009)
Threshold quantum secret sharing of secure direct communicationChin. Phys. Lett., 26
-
Y. Sun, Q.Y. Wen, F.C. Zhu (2010)
Robust multiparty quantum secret sharing against participant forcible manipulationCommun. Theor. Phys., 54
-
M. Curty, D.J. Santos, E. Pérez, P. García-Fernández (2002)
Qubit authenticationPhys. Rev. A, 66
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Springer Science+Business Media, LLC
- Subject
- Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
- ISSN
- 1570-0755
- eISSN
- 1573-1332
- DOI
- 10.1007/s11128-011-0323-1
- Publisher site
- See Article on Publisher Site
Abstract
In a conventional quantum (k, n) threshold scheme, a trusted party shares a quantum secret with n agents such that any k or more agents can cooperate to recover the original secret, while fewer than k agents obtain no information about the secret. Is the reconstructed quantum secret same with the original one? Or is the dishonest agent willing to provide a true share during the secret reconstruction? In this paper we reexamine the security of quantum (k, n) threshold schemes and show how to construct a verifiable quantum (k, n) threshold scheme by combining a qubit authentication process. The novelty of ours is that it can provide a mechanism for checking whether the reconstructed quantum secret is same with the original one. This mechanism can also attain the goal of checking whether the dishonest agent provides a false quantum share during the secret reconstruction such that the secret quantum state cannot be recovered correctly.
Journal
Quantum Information Processing – Springer Journals
Published: Oct 30, 2011