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Erschienen in: Quantum Information Processing 1/2014

01.01.2014

Efficient and feasible quantum private comparison of equality against the collective amplitude damping noise

verfasst von: Xiu-Bo Chen, Yuan Su, Xin-Xin Niu, Yi-Xian Yang

Erschienen in: Quantum Information Processing | Ausgabe 1/2014

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Abstract

In this paper, the new protocol for quantum private comparison of equality (QPCE) is investigated. Instead of using the entanglement, we only utilize the single photon to efficiently realize the comparison of secret information. Furthermore, a more feasible QPCE protocol, which can be successfully performed via the collective amplitude damping channel, is put forward. In our QPCE protocols, a semi-honest third party (TP) is involved. It is an appealing advantage in the practical implementation of protocol. Our QPCE protocols can resist various kinds of attacks from both the outside eavesdroppers and the inside participants, even the semi-honest TP.

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Literatur
1.
Zurück zum Zitat Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. In: IEEE International Conference on Computers, Systems and Signal Processing, New York, pp. 175–179. Bangalore, India (1984) Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. In: IEEE International Conference on Computers, Systems and Signal Processing, New York, pp. 175–179. Bangalore, India (1984)
2.
Zurück zum Zitat Chen, X.B., Wen, Q.Y., Guo, F.Z., Sun, Y., Xu, G., Zhu, F.C.: Controlled quantum secure direct communication with w state. Int. J. Quantum. Inf. 6, 899–906 (2008)CrossRefMATH Chen, X.B., Wen, Q.Y., Guo, F.Z., Sun, Y., Xu, G., Zhu, F.C.: Controlled quantum secure direct communication with w state. Int. J. Quantum. Inf. 6, 899–906 (2008)CrossRefMATH
3.
Zurück zum Zitat Chen, X.B., Wang, T.Y., Du, J.Z., Wen, Q.Y., Zhu, F.C.: Controlled quantum secure direct communication with quantum encryption. Int. J. Quantum. Inf. 6, 543–551 (2008)CrossRefMATH Chen, X.B., Wang, T.Y., Du, J.Z., Wen, Q.Y., Zhu, F.C.: Controlled quantum secure direct communication with quantum encryption. Int. J. Quantum. Inf. 6, 543–551 (2008)CrossRefMATH
4.
Zurück zum Zitat Chen, X.B., Xu, G., Yang, Y.X., Wen, Q.Y.: Centrally controlled quantum teleportation. Opt. Commun. 283, 4802–4809 (2010)CrossRefADS Chen, X.B., Xu, G., Yang, Y.X., Wen, Q.Y.: Centrally controlled quantum teleportation. Opt. Commun. 283, 4802–4809 (2010)CrossRefADS
5.
Zurück zum Zitat Chen, X.B., Zhang, N., Lin, S., Wen, Q.Y., Zhu, F.C.: Quantum circuits for controlled teleportation of two-particle entanglement via a w state. Opt. Commun. 281, 2331–2335 (2008)CrossRefADS Chen, X.B., Zhang, N., Lin, S., Wen, Q.Y., Zhu, F.C.: Quantum circuits for controlled teleportation of two-particle entanglement via a w state. Opt. Commun. 281, 2331–2335 (2008)CrossRefADS
6.
Zurück zum Zitat Su, Y., Chen, X.B., Yang, Y.X.: N-to-m joint remote state preparation of 2-level state. Int. J. Quantum. Inf. 10, 1250006 (2012)MathSciNetCrossRefMATH Su, Y., Chen, X.B., Yang, Y.X.: N-to-m joint remote state preparation of 2-level state. Int. J. Quantum. Inf. 10, 1250006 (2012)MathSciNetCrossRefMATH
7.
Zurück zum Zitat Chen, X.B., Ma, S.Y., Su, Y., Zhang, R., Yang, Y.X.: Controlled remote state preparation of an arbitrary two and three qubit states via the brown state. Quantum. Inf. Process. 11, 1653–1667 (2012) Chen, X.B., Ma, S.Y., Su, Y., Zhang, R., Yang, Y.X.: Controlled remote state preparation of an arbitrary two and three qubit states via the brown state. Quantum. Inf. Process. 11, 1653–1667 (2012)
8.
Zurück zum Zitat Yao, A.C.: Protocols, for secure computations. In Proceedings of 23rd IEEE Symposium on Foundations of Computer Science (FOCS’ 82), IEEE Computer Society Washington. DC, USA (1982) Yao, A.C.: Protocols, for secure computations. In Proceedings of 23rd IEEE Symposium on Foundations of Computer Science (FOCS’ 82), IEEE Computer Society Washington. DC, USA (1982)
9.
Zurück zum Zitat Yao, A.C.C.: How to generate and exchange secrets. In: IEEE 27th Annual Symposium on Foundations of Computer Science (FOCS 1986) (1986) Yao, A.C.C.: How to generate and exchange secrets. In: IEEE 27th Annual Symposium on Foundations of Computer Science (FOCS 1986) (1986)
10.
Zurück zum Zitat Yang, Y.G., Wen, Q.Y.: An efficient two-party quantum private comparison protocol with decoy photons and two-photon entanglement. J. Phys. A Math. Theor. 42, 055305 (2009)MathSciNetCrossRefADSMATH Yang, Y.G., Wen, Q.Y.: An efficient two-party quantum private comparison protocol with decoy photons and two-photon entanglement. J. Phys. A Math. Theor. 42, 055305 (2009)MathSciNetCrossRefADSMATH
11.
Zurück zum Zitat Chen, X.B., Xu, G., Niu, X.X., Wen, Q.Y., Yang, Y.X.: An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement. Opt. Commun. 283, 1561–1565 (2010)CrossRefADS Chen, X.B., Xu, G., Niu, X.X., Wen, Q.Y., Yang, Y.X.: An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement. Opt. Commun. 283, 1561–1565 (2010)CrossRefADS
12.
Zurück zum Zitat Liu, W., Wang, Y.B., Jiang, Z.T.: An efficient protocol for the quantum private comparison of equality with w state. Opt. Commun. 284, 3160–3163 (2011)CrossRefADS Liu, W., Wang, Y.B., Jiang, Z.T.: An efficient protocol for the quantum private comparison of equality with w state. Opt. Commun. 284, 3160–3163 (2011)CrossRefADS
14.
Zurück zum Zitat Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z.: A protocol for the quantum private comparison of equality with x-type state. Int. J. Theor. Phys. 51, 69–77 (2011)MathSciNetCrossRefMATH Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z.: A protocol for the quantum private comparison of equality with x-type state. Int. J. Theor. Phys. 51, 69–77 (2011)MathSciNetCrossRefMATH
15.
Zurück zum Zitat Schmitt-Manderbach, T., Weier, H., Fürst, M., Ursin, R., Tiefenbacher, F., Scheidl, T., Perdigues, J., Sodnik, Z., Kurtsiefer, C., Rarity, J.G.: Experimental demonstration of free-space decoy-state quantum key distribution over 144 km. Phys. Rev. Lett. 98, 10504 (2007)CrossRefADS Schmitt-Manderbach, T., Weier, H., Fürst, M., Ursin, R., Tiefenbacher, F., Scheidl, T., Perdigues, J., Sodnik, Z., Kurtsiefer, C., Rarity, J.G.: Experimental demonstration of free-space decoy-state quantum key distribution over 144 km. Phys. Rev. Lett. 98, 10504 (2007)CrossRefADS
16.
Zurück zum Zitat Li, L., Qiu, D.: Local entanglement is not necessary for perfect discrimination between unitary operations acting on two qudits by local operations and classical communication. Phys. Rev. A. 77, 032337 (2008)CrossRefADS Li, L., Qiu, D.: Local entanglement is not necessary for perfect discrimination between unitary operations acting on two qudits by local operations and classical communication. Phys. Rev. A. 77, 032337 (2008)CrossRefADS
17.
Zurück zum Zitat Zou, X., Qiu, D.: Security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A. 82, 042325 (2010)CrossRefADS Zou, X., Qiu, D.: Security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A. 82, 042325 (2010)CrossRefADS
18.
Zurück zum Zitat Hughes, R.J., James, D.F.V., Knill, E.H., Laflamme, R., Petschek, A.G.: Decoherence bounds on quantum computation with trapped ions. Phys. Rev. Lett. 77, 3240–3243 (1996)CrossRefADS Hughes, R.J., James, D.F.V., Knill, E.H., Laflamme, R., Petschek, A.G.: Decoherence bounds on quantum computation with trapped ions. Phys. Rev. Lett. 77, 3240–3243 (1996)CrossRefADS
19.
Zurück zum Zitat Van Enk, S.J., Cirac, J.I., Zoller, P.: Photonic channels for quantum communication. Science 279, 205–208 (1998)CrossRefADS Van Enk, S.J., Cirac, J.I., Zoller, P.: Photonic channels for quantum communication. Science 279, 205–208 (1998)CrossRefADS
20.
Zurück zum Zitat Cirac, J.I., Pellizzari, T., Zoller, P.: Enforcing coherent evolution in dissipative quantum dynamics. Science 273, 1207–1210 (1996)CrossRefADS Cirac, J.I., Pellizzari, T., Zoller, P.: Enforcing coherent evolution in dissipative quantum dynamics. Science 273, 1207–1210 (1996)CrossRefADS
21.
Zurück zum Zitat Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the einstein-podolsky-rosen pair block. Phys. Rev. A. 68, 042317 (2003)CrossRefADS Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the einstein-podolsky-rosen pair block. Phys. Rev. A. 68, 042317 (2003)CrossRefADS
22.
Zurück zum Zitat Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000) Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
23.
Zurück zum Zitat Duan, L.M., Guo, G.C.: Optimal quantum codes for preventing collective amplitude damping. Phys. Rev. A. 58, 3491–3495 (1998)CrossRefADS Duan, L.M., Guo, G.C.: Optimal quantum codes for preventing collective amplitude damping. Phys. Rev. A. 58, 3491–3495 (1998)CrossRefADS
24.
Zurück zum Zitat Qin, S.J., Wen, Q.Y., Meng, L.M., Zhu, F.C.: Quantum secure direct communication over the collective amplitude damping channel. Sci. China Ser. G Phys. Mech. Astron. 52, 1208–1212 (2009)CrossRefADS Qin, S.J., Wen, Q.Y., Meng, L.M., Zhu, F.C.: Quantum secure direct communication over the collective amplitude damping channel. Sci. China Ser. G Phys. Mech. Astron. 52, 1208–1212 (2009)CrossRefADS
25.
Zurück zum Zitat Yang, Y.G., Wen, Q.Y.: Arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 283, 3198–3201 (2011)CrossRefADS Yang, Y.G., Wen, Q.Y.: Arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 283, 3198–3201 (2011)CrossRefADS
26.
Zurück zum Zitat 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
27.
Zurück zum Zitat Li, X.H., Deng, F.G., Zhou, H.Y.: Improving the security of secure direct communication based on the secret transmitting order of particles. Phys. Rev. A. 74, 054302 (2006)CrossRefADS Li, X.H., Deng, F.G., Zhou, H.Y.: Improving the security of secure direct communication based on the secret transmitting order of particles. Phys. Rev. A. 74, 054302 (2006)CrossRefADS
28.
Zurück zum Zitat Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A. 54, 3824 (1996)MathSciNetCrossRefADS Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A. 54, 3824 (1996)MathSciNetCrossRefADS
29.
Zurück zum Zitat Briegel, H.J., Dur, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932 (1998)CrossRefADS Briegel, H.J., Dur, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932 (1998)CrossRefADS
30.
Zurück zum Zitat Dur, W., Briegel, H.J., Cirac, J.I., Zoller, P.: Quantum repeaters based on entanglement purification. Phys. Rev. A. 59, 169 (1999)CrossRefADSMATH Dur, W., Briegel, H.J., Cirac, J.I., Zoller, P.: Quantum repeaters based on entanglement purification. Phys. Rev. A. 59, 169 (1999)CrossRefADSMATH
31.
Zurück zum Zitat 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, 4 (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, 4 (2012)CrossRefADS
32.
Zurück zum Zitat Brunel, C., Lounis, B., Tamarat, P., Orrit, M.: Triggered source of single photons based on controlled single molecule fluorescence. Phys. Rev. Lett. 83, 2722–2725 (1999)CrossRefADSMATH Brunel, C., Lounis, B., Tamarat, P., Orrit, M.: Triggered source of single photons based on controlled single molecule fluorescence. Phys. Rev. Lett. 83, 2722–2725 (1999)CrossRefADSMATH
33.
Zurück zum Zitat Liu, C., Dutton, Z., Behroozi, C.H., Hau, L.V.: Observation of coherent optical information storage in an atomic medium using halted light pulses. Nature 409, 490–493 (2001)CrossRefADS Liu, C., Dutton, Z., Behroozi, C.H., Hau, L.V.: Observation of coherent optical information storage in an atomic medium using halted light pulses. Nature 409, 490–493 (2001)CrossRefADS
34.
Zurück zum Zitat Phillips, D.F., Fleischhauer, A., Mair, A., Walsworth, R.L., Lukin, M.D.: Storage of light in atomic vapor. Phys. Rev. Lett. 86, 783–786 (2001)CrossRefADS Phillips, D.F., Fleischhauer, A., Mair, A., Walsworth, R.L., Lukin, M.D.: Storage of light in atomic vapor. Phys. Rev. Lett. 86, 783–786 (2001)CrossRefADS
35.
Zurück zum Zitat Strauf, S., Stoltz, N.G., Rakher, M.T., Coldren, L.A., Petroff, P.M., Bouwmeester, D.: High-frequency single-photon source with polarization control. Nat. Photonics 1, 704–708 (2007)CrossRefADS Strauf, S., Stoltz, N.G., Rakher, M.T., Coldren, L.A., Petroff, P.M., Bouwmeester, D.: High-frequency single-photon source with polarization control. Nat. Photonics 1, 704–708 (2007)CrossRefADS
36.
Zurück zum Zitat Mosley, P.J., Lundeen, J.S., Smith, B.J., Wasylczyk, P., U’Ren, A.B., Silberhorn, C., Walmsley, I.A.: Heralded generation of ultrafast single photons in pure quantum states. Phys. Rev. Lett. 100, 133601 (2008)CrossRefADS Mosley, P.J., Lundeen, J.S., Smith, B.J., Wasylczyk, P., U’Ren, A.B., Silberhorn, C., Walmsley, I.A.: Heralded generation of ultrafast single photons in pure quantum states. Phys. Rev. Lett. 100, 133601 (2008)CrossRefADS
Metadaten
Titel
Efficient and feasible quantum private comparison of equality against the collective amplitude damping noise
verfasst von
Xiu-Bo Chen
Yuan Su
Xin-Xin Niu
Yi-Xian Yang
Publikationsdatum
01.01.2014
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 1/2014
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-012-0505-5

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