Unconditionally secure multi-party quantum commitment scheme



A new unconditionally secure multi-party quantum commitment is proposed in this paper by encoding the committed message to the phase of a quantum state. Multi-party means that there are more than one recipient in our scheme. We show that our quantum commitment scheme is unconditional hiding and binding, and hiding is perfect. Our technique is based on the interference of phase-encoded coherent states of light. Its security proof relies on the no-cloning theorem of quantum theory and the properties of quantum information.


Photodetection Phase Quantum commitment Hiding 



We express our heartfelt thanks to reviewers for their useful comments which improve our manuscript greatly.


  1. 1.
    Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers Systems and Signal Processing, vol. 560, pp. 175–179. IEEE Computer Society (1984)Google Scholar
  2. 2.
    Watrous, J.: Zero-knowledge against quantum attacks. SIAM J. Comput. 39(1), 25–58 (2009)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Crpeau, C., Dumais, P., Mayers, D., Salvail, L.: Computational collapse of quantum state with application to oblivious transfer. In: Theory of Cryptography, In TCC 2004, LNCS 2951, pp. 374–393. Springer (2004)Google Scholar
  4. 4.
    Brassard G., Crepeau, C., Jozsa, R., Langlois, D.A.: quantum bit commitment scheme provably unbreakable by both parties. In: Proceedings FOCS 1993, pp. 362–371. IEEE Computer Society (1993)Google Scholar
  5. 5.
    Mayers, D.: Unconditionally secure quantum bit commitment is impossible. Phys. Rev. Lett. 78(17), 3414–3417 (1997)ADSCrossRefGoogle Scholar
  6. 6.
    Yuen, H.P.: Unconditionally secure quantum bit commitment is possible. Quantum Phys. arXiv:quant-ph/0505132v1 (2005)
  7. 7.
    Kent, A.: Unconditionally secure bit commitment with flying qudits. New J. Phys. 13(11), 113015–113029 (2011). (15)ADSCrossRefGoogle Scholar
  8. 8.
    Kent, A.: Unconditionally secure bit commitment by transmitting measurement outcomes. Phys. Rev. Lett. 109(13), 130501 (2012)ADSCrossRefGoogle Scholar
  9. 9.
    Liu, Y., Cao, Y., Curty, M., Liao, S.K., Wang, J., Cui, K., Li, Y.H., Lin, Z.H., Sun, Q.C., Li, D.D.: Experimental unconditionally secure bit commitment. Phys. Rev. Lett. 112(1), 010504 (2014)ADSCrossRefGoogle Scholar
  10. 10.
    Cheung, C.Y.: Unconditionally secure quantum bit commitment using neutron double-slit interference. Quantum Phys. arXiv:0910.2645v4 (2010)
  11. 11.
    Unruh, D.: Computationally binding quantum commitments. In: Advances in Cryptology-EUROCRYPT 2016, LNCS 9666, pp. 497–527. Springer (2016)Google Scholar
  12. 12.
    Unruh, D.: Collapse-binding quantum commitments without random oracles. In: Advances in Cryptology-ASIACRYPT 2016: Part II 22, LNCS 10032, pp. 166–195. Springer (2016)Google Scholar
  13. 13.
    Lu, X., Ma, Z., Feng, D.G.: An unconditionally secure quantum bit commitment scheme. Quantum Phys. arXiv:quant-ph/0403036v6 (2004)
  14. 14.
    Clarke, P.J., Collins, R.J., Dunjko, V., Andersson, E., Jeffers, J., Buller, G.S.: Experimental demonstration of quantum digital signatures using phase-encoded coherent states of light. Nat. Commun. 3(6), 1174 (2012)ADSCrossRefGoogle Scholar
  15. 15.
    Gottesman, D., Chuang, I.: Quantum digital signatures. Preprint at arxiv. org/ abs/ quant-ph/ 010503d2
  16. 16.
    Hoeffding, W.: Probability inequalities for sums of bounded random variables. J. Am. Stat. Assoc. 58(301), 13–30 (1963)MathSciNetCrossRefMATHGoogle Scholar

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Authors and Affiliations

  1. 1.Key Laboratory of Cryptologic Technology and Information Security, Ministry of Education, School of MathematicsShandong UniversityJinanChina

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