Skip to main content
Top
Published in: Quantum Information Processing 1/2014

01-01-2014

Cheat sensitive quantum bit commitment via pre- and post-selected quantum states

Authors: Yan-Bing Li, Qiao-Yan Wen, Zi-Chen Li, Su-Juan Qin, Ya-Tao Yang

Published in: Quantum Information Processing | Issue 1/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Cheat sensitive quantum bit commitment is a most important and realizable quantum bit commitment (QBC) protocol. By taking advantage of quantum mechanism, it can achieve higher security than classical bit commitment. In this paper, we propose a QBC schemes based on pre- and post-selected quantum states. The analysis indicates that both of the two participants’ cheat strategies will be detected with non-zero probability. And the protocol can be implemented with today’s technology as a long-term quantum memory is not needed.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

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!

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!

Literature
2.
go back to reference Goldwasser, S., Micali, S., Rackoff, C.: The knowledge complexity of interactive proof-systems. STOC 85, 291–304 (1985) Goldwasser, S., Micali, S., Rackoff, C.: The knowledge complexity of interactive proof-systems. STOC 85, 291–304 (1985)
3.
go back to reference Goldreich, O., Micali, S., Wigderson, A.: Proofs that yield nothing but their validity or all languages in NP have zero-knowledge proof systems. JACM 38(1), 691–729 (1991)MathSciNetMATH Goldreich, O., Micali, S., Wigderson, A.: Proofs that yield nothing but their validity or all languages in NP have zero-knowledge proof systems. JACM 38(1), 691–729 (1991)MathSciNetMATH
5.
go back to reference Brassard, G., Crépeau, C.: Quantum bit commitment and coin tossing protocols. In: Advances in Cryptology: Proceedings of Crypto90, Lecture Notes in Computer Science vol. 537, pp. 49–61. Springer, Berlin (1991) Brassard, G., Crépeau, C.: Quantum bit commitment and coin tossing protocols. In: Advances in Cryptology: Proceedings of Crypto90, Lecture Notes in Computer Science vol. 537, pp. 49–61. Springer, Berlin (1991)
6.
go back to reference Nayak, A., Shor, P.: Bit-commitment-based quantum coin flipping. Phys. Rev. A 67, 012304 (2003)CrossRefADS Nayak, A., Shor, P.: Bit-commitment-based quantum coin flipping. Phys. Rev. A 67, 012304 (2003)CrossRefADS
7.
go back to reference Silman, J., Chailloux, A., Aharon, N., Kerenidis, I., Pironio, S., Massar, S.: Fully distrustful quantum bit commitment and coin flipping. Phys. Rev. Lett. 106, 220501 (2011)CrossRefADS Silman, J., Chailloux, A., Aharon, N., Kerenidis, I., Pironio, S., Massar, S.: Fully distrustful quantum bit commitment and coin flipping. Phys. Rev. Lett. 106, 220501 (2011)CrossRefADS
8.
go back to reference Bennett, C.H., Brassard, G., Crépeau, C., Skubiszewska, M.H.: Practical quantum oblivious transfer protocols. In: Advances in Cryptology: Proceedings of Crypto91, Lecture Notes in Computer Science vol. 576, pp. 351–366. Springer, Berlin (1992) Bennett, C.H., Brassard, G., Crépeau, C., Skubiszewska, M.H.: Practical quantum oblivious transfer protocols. In: Advances in Cryptology: Proceedings of Crypto91, Lecture Notes in Computer Science vol. 576, pp. 351–366. Springer, Berlin (1992)
9.
go back to reference He, G.P., Wang, Z.D.: Oblivious transfer using quantum entanglement. Phys. Rev. A 73, 012331 (2006)CrossRefADS He, G.P., Wang, Z.D.: Oblivious transfer using quantum entanglement. Phys. Rev. A 73, 012331 (2006)CrossRefADS
10.
go back to reference Li, Y.B., Wen, Q.Y., Qin, S.J.: Comment on “Secure multipartycomputation with a dishonest majority via quantum means”. Phys. Rev. A 84, 016301 (2011)CrossRefADS Li, Y.B., Wen, Q.Y., Qin, S.J.: Comment on “Secure multipartycomputation with a dishonest majority via quantum means”. Phys. Rev. A 84, 016301 (2011)CrossRefADS
12.
go back to reference Li, Y.B., Wen, Q.Y., Gao, F., Jia, H.Y., Sun, Y.: Information leak in Liu et al.’s quantum private comparison and a new protocol. Eur. Phys. J. D 66, 110–115 (2012)CrossRefADS Li, Y.B., Wen, Q.Y., Gao, F., Jia, H.Y., Sun, Y.: Information leak in Liu et al.’s quantum private comparison and a new protocol. Eur. Phys. J. D 66, 110–115 (2012)CrossRefADS
13.
go back to reference Li, Y.B., Wen, Q.Y., Qin, S.J.: Improved secure multiparty computation with a dishonest majority via quantum means. Int. J. Theory. Phys. 52(1), 199–205 (2013)MathSciNetCrossRefMATH Li, Y.B., Wen, Q.Y., Qin, S.J.: Improved secure multiparty computation with a dishonest majority via quantum means. Int. J. Theory. Phys. 52(1), 199–205 (2013)MathSciNetCrossRefMATH
16.
go back to reference Brassard, G., Crépeau, C., Jozsa, R., Langlois, D.: A quantum bit commitment scheme provably unbreakable by both parties. In: Proceedings of the 34th Annual IEEE Symposium on Foundations of Computer Science, pp. 362–371. IEEE, Los Alamitos (1993) Brassard, G., Crépeau, C., Jozsa, R., Langlois, D.: A quantum bit commitment scheme provably unbreakable by both parties. In: Proceedings of the 34th Annual IEEE Symposium on Foundations of Computer Science, pp. 362–371. IEEE, Los Alamitos (1993)
17.
go back to reference 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, Bangalore, India, pp. 17–179. IEEE, New York (1984) 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, Bangalore, India, pp. 17–179. IEEE, New York (1984)
18.
go back to reference Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)CrossRefADS Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)CrossRefADS
19.
go back to reference Allati, A.E., Baz, M.E., Hassouni, Y.: Quantum key distribution via tripartite coherent states. Quant. Inf. Proc. 10(5), 589–602 (2011)MathSciNetCrossRefMATH Allati, A.E., Baz, M.E., Hassouni, Y.: Quantum key distribution via tripartite coherent states. Quant. Inf. Proc. 10(5), 589–602 (2011)MathSciNetCrossRefMATH
20.
go back to reference Mayers, D.: Unconditionally secure quantum bit commitment is impossible. Phys. Rev. Lett. 78, 3414 (1997)CrossRefADS Mayers, D.: Unconditionally secure quantum bit commitment is impossible. Phys. Rev. Lett. 78, 3414 (1997)CrossRefADS
21.
go back to reference Lo, H.K., Chau, H.F.: Is quantum bit commitment really possible? Phys. Rev. Lett. 78, 3410 (1997)CrossRefADS Lo, H.K., Chau, H.F.: Is quantum bit commitment really possible? Phys. Rev. Lett. 78, 3410 (1997)CrossRefADS
22.
go back to reference Li, Q., Li, C.Q., Long, D.Y., Chan, W.H., WuOn, C.H.: The impossibility of non-static quantum bit commitment between two parties. Quant. Inf. Proc. 11(2), 519–527 (2012)CrossRefMATHMathSciNet Li, Q., Li, C.Q., Long, D.Y., Chan, W.H., WuOn, C.H.: The impossibility of non-static quantum bit commitment between two parties. Quant. Inf. Proc. 11(2), 519–527 (2012)CrossRefMATHMathSciNet
23.
go back to reference Hardy, L., Kent, A.: Cheat sensitive quantum bit commitment. Phys. Rev. Lett. 92, 157901 (2004)CrossRefADS Hardy, L., Kent, A.: Cheat sensitive quantum bit commitment. Phys. Rev. Lett. 92, 157901 (2004)CrossRefADS
24.
go back to reference Shimizu, K., Fukasaka, H., Tamaki, K., Imoto, N.: Cheat-sensitive commitment of a classical bit coded in a block of m n round-trip qubits. Phys. Rev. A 84, 022308 (2011)CrossRefADS Shimizu, K., Fukasaka, H., Tamaki, K., Imoto, N.: Cheat-sensitive commitment of a classical bit coded in a block of m n round-trip qubits. Phys. Rev. A 84, 022308 (2011)CrossRefADS
25.
go back to reference Short, A.J., Gisin, N., Popescu, S.: The physics of no-bit-commitment: Generalized quantum non-locality versus oblivious transfer. Quant. Inf. Proc. 5(2), 131–138 (2006)MathSciNetCrossRefMATH Short, A.J., Gisin, N., Popescu, S.: The physics of no-bit-commitment: Generalized quantum non-locality versus oblivious transfer. Quant. Inf. Proc. 5(2), 131–138 (2006)MathSciNetCrossRefMATH
26.
go back to reference He, G.P.: Secure quantum bit commitment against empty promises. Phys. Rev. A 74, 022332 (2006)CrossRefADS He, G.P.: Secure quantum bit commitment against empty promises. Phys. Rev. A 74, 022332 (2006)CrossRefADS
27.
go back to reference Choi, J.W., Hong, D., Chang, K.Y., Chi, D.P., Lee, S.:Non-static quantum bit commitment. arXiv:quant-ph/0901.1178 Choi, J.W., Hong, D., Chang, K.Y., Chi, D.P., Lee, S.:Non-static quantum bit commitment. arXiv:quant-ph/0901.1178
28.
go back to reference Wolf, S., Wullschleger, J.: Bit commitment from weak non-locality. arXiv:quant-ph/0508233 Wolf, S., Wullschleger, J.: Bit commitment from weak non-locality. arXiv:quant-ph/0508233
29.
go back to reference He, G.P., Wang, Z.D.: Practically secure quantum bit commitment based on quantum seals. arXiv:quant-ph/0804.3531 He, G.P., Wang, Z.D.: Practically secure quantum bit commitment based on quantum seals. arXiv:quant-ph/0804.3531
30.
go back to reference Adrian, K.: Unconditionally secure bit commitment with flying qudits. New J. Phys. 13, 113015 (2011)CrossRef Adrian, K.: Unconditionally secure bit commitment with flying qudits. New J. Phys. 13, 113015 (2011)CrossRef
32.
go back to reference Aharanov, Y., Bergmann, P.G., Lebowitz, J.L.: Quantum Theory and Measurement. Princeton University Press, Princeton (1983) Aharanov, Y., Bergmann, P.G., Lebowitz, J.L.: Quantum Theory and Measurement. Princeton University Press, Princeton (1983)
33.
go back to reference Vaidman, L., Aharonov, Y., Albert, D.Z.: How to ascertain the values of \(\sigma _{x},\, \sigma _{y}\), and \(\sigma _z\) of a spin-1/2 particle. Phys. Rev. Lett. 58, 1385 (1987)MathSciNetCrossRefADS Vaidman, L., Aharonov, Y., Albert, D.Z.: How to ascertain the values of \(\sigma _{x},\, \sigma _{y}\), and \(\sigma _z\) of a spin-1/2 particle. Phys. Rev. Lett. 58, 1385 (1987)MathSciNetCrossRefADS
34.
go back to reference Bub, J.: Secure key distribution via pre- and postselected quantum states. Phys. Rev. A 63, 032309 (2001)CrossRefADS Bub, J.: Secure key distribution via pre- and postselected quantum states. Phys. Rev. A 63, 032309 (2001)CrossRefADS
35.
go back to reference Werner, A.H., Franz, T., Werner, R.F.: Quantum cryptography as a retrodiction problem. Phys. Rev. Lett. 103, 220504 (2009)CrossRefADS Werner, A.H., Franz, T., Werner, R.F.: Quantum cryptography as a retrodiction problem. Phys. Rev. Lett. 103, 220504 (2009)CrossRefADS
36.
go back to reference Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic Press, New York (1976)MATH Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic Press, New York (1976)MATH
Metadata
Title
Cheat sensitive quantum bit commitment via pre- and post-selected quantum states
Authors
Yan-Bing Li
Qiao-Yan Wen
Zi-Chen Li
Su-Juan Qin
Ya-Tao Yang
Publication date
01-01-2014
Publisher
Springer US
Published in
Quantum Information Processing / Issue 1/2014
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0566-0

Other articles of this Issue 1/2014

Quantum Information Processing 1/2014 Go to the issue