{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T05:04:46Z","timestamp":1761973486916,"version":"build-2065373602"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2013,1,5]],"date-time":"2013-01-05T00:00:00Z","timestamp":1357344000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2013,6]]},"DOI":"10.1007\/s11128-012-0520-6","type":"journal-article","created":{"date-parts":[[2013,1,4]],"date-time":"2013-01-04T10:21:30Z","timestamp":1357294890000},"page":"2241-2249","source":"Crossref","is-referenced-by-count":34,"title":["A quantum protocol for millionaire problem with Bell states"],"prefix":"10.1007","volume":"12","author":[{"given":"Wei-Wei","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dan","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ke-Jia","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui-Juan","family":"Zuo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,1,5]]},"reference":[{"key":"520_CR1","unstructured":"Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. In: IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India. IEEE, New York, pp. 175\u2013179 (1984)"},{"issue":"6","key":"520_CR2","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1103\/PhysRevLett.67.661","volume":"67","author":"AK Ekert","year":"1991","unstructured":"Ekert, A.K.: Quantum cryptography based on Bell theorem. Phys. Rev. Lett. 67(6), 661\u2013663 (1991)","journal-title":"Phys. Rev. Lett."},{"issue":"21","key":"520_CR3","doi-asserted-by":"crossref","first-page":"3121","DOI":"10.1103\/PhysRevLett.68.3121","volume":"68","author":"CH Bennett","year":"1992","unstructured":"Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68(21), 3121\u20133124 (1992)","journal-title":"Phys. Rev. Lett."},{"key":"520_CR4","first-page":"1389","volume":"47","author":"B Liu","year":"2011","unstructured":"Liu, B., Gao, F., Wen, Q.Y.: Single-photon multiparty quantum cryptographic protocols with collective detection. IEEE J. Quantum Electron. 47, 1389\u20131390 (2011)","journal-title":"IEEE J. Quantum Electron."},{"key":"520_CR5","doi-asserted-by":"crossref","first-page":"536","DOI":"10.1016\/j.optcom.2010.08.073","volume":"284","author":"W Huang","year":"2011","unstructured":"Huang, W., Guo, F.Z., Huang, Z., Wen, Q.Y., Zhu, F.C.: Three-particle QKD protocol against a collective noise. Opt. Commun. 284, 536\u2013540 (2011)","journal-title":"Opt. Commun."},{"key":"520_CR6","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1103\/PhysRevA.59.1829","volume":"59","author":"M Hillery","year":"1999","unstructured":"Hillery, M., Buz\u011bk, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829\u20131834 (1999)","journal-title":"Phys. Rev. A"},{"key":"520_CR7","doi-asserted-by":"crossref","first-page":"187902","DOI":"10.1103\/PhysRevLett.89.187902","volume":"89","author":"K Bostr\u00f6m","year":"2002","unstructured":"Bostr\u00f6m, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)","journal-title":"Phys. Rev. Lett."},{"key":"520_CR8","doi-asserted-by":"crossref","first-page":"042317","DOI":"10.1103\/PhysRevA.68.042317","volume":"68","author":"FG Deng","year":"2003","unstructured":"Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein\u2013Podolsky\u2013Rosen pair block. Phys. Rev. A 68, 042317 (2003)","journal-title":"Phys. Rev. A"},{"key":"520_CR9","doi-asserted-by":"crossref","first-page":"064304","DOI":"10.1103\/PhysRevA.78.064304","volume":"78","author":"S Lin","year":"2008","unstructured":"Lin, S., Wen, Q.Y., Gao, F., Zhu, F.C.: Quantum secure direct communication with chi-type entangled states. Phys. Rev. A 78, 064304 (2008)","journal-title":"Phys. Rev. A"},{"key":"520_CR10","doi-asserted-by":"crossref","unstructured":"Zhang, W.-W, Gao, F, Liu, B., et al.: A watermark strategy for quantum images based on quantum fourier transform. Quantum Inf. Process. (2012). doi: 10.1007\/s11128-012-0423-6","DOI":"10.1007\/s11128-012-0423-6"},{"key":"520_CR11","doi-asserted-by":"crossref","unstructured":"Zhang, W.-W., Gao, F., Liu, B., et al. : A quantum watermark protocol. Int. J. Theor. Phys. (2012). doi: 10.1007\/s10773-012-1354-9","DOI":"10.1007\/s10773-012-1354-9"},{"key":"520_CR12","doi-asserted-by":"crossref","unstructured":"Yao, A.C.: Protocols for secure computations. In: Proceedings of 23rd IEEE Symposium on Foundations of Computer Science (FOCS\u2019 82), Washington, DC, USA, p. 160 (1982)","DOI":"10.1109\/SFCS.1982.38"},{"issue":"2","key":"520_CR13","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1103\/PhysRevA.56.1154","volume":"56","author":"HK Lo","year":"1997","unstructured":"Lo, H.K.: Insecurity of quantum secure computations. Phys. Rev. A 56(2), 1154\u20131162 (1997)","journal-title":"Phys. Rev. A"},{"key":"520_CR14","doi-asserted-by":"crossref","first-page":"055305","DOI":"10.1088\/1751-8113\/42\/5\/055305","volume":"42","author":"YG Yang","year":"2009","unstructured":"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)","journal-title":"J. Phys. A Math. Theor."},{"issue":"6","key":"520_CR15","doi-asserted-by":"crossref","first-page":"065002","DOI":"10.1088\/0031-8949\/80\/06\/065002","volume":"80","author":"YG Yang","year":"2009","unstructured":"Yang, Y.G., Cao, W.F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009)","journal-title":"Phys. Scr."},{"key":"520_CR16","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1088\/0253-6102\/57\/4\/11","volume":"57","author":"W Liu","year":"2012","unstructured":"Liu, W., Wang, Y.-B., Cui, W.: Quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 57, 583\u2013588 (2012)","journal-title":"Commun. Theor. Phys."},{"key":"520_CR17","doi-asserted-by":"crossref","first-page":"1561","DOI":"10.1016\/j.optcom.2009.11.085","volume":"283","author":"X-B Chen","year":"2010","unstructured":"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\u20131565 (2010)","journal-title":"Opt. Commun."},{"key":"520_CR18","doi-asserted-by":"crossref","first-page":"3160","DOI":"10.1016\/j.optcom.2011.02.017","volume":"284","author":"W Liu","year":"2011","unstructured":"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\u20133163 (2011)","journal-title":"Opt. Commun."},{"key":"520_CR19","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s10773-011-0878-8","volume":"51","author":"W Liu","year":"2012","unstructured":"Liu, W., Wang, Y.-B., Jiang, Z.-T., Cao, Y.-Z.: A protocol for the quantum private comparison of equality with $$\\chi $$ -type state. Int. J. Theor. Phys. 51, 69\u201377 (2012)","journal-title":"Int. J. Theor. Phys."},{"key":"520_CR20","doi-asserted-by":"crossref","first-page":"1953","DOI":"10.1007\/s10773-011-1073-7","volume":"51","author":"W Liu","year":"2012","unstructured":"Liu, W., Wang, Y.-B., Jiang, Z.-T., Cao, Y.-Z., Cui, W.: New quantum private comparison protocol using $$\\chi $$ -type state. Int. J. Theor. Phys. 51, 1953\u20131960 (2012)","journal-title":"Int. J. Theor. Phys."},{"key":"520_CR21","doi-asserted-by":"crossref","unstructured":"Liu, W., Wang, Y.B.: Quantum private comparison based on GHZ entangled states. Int. J. Theor. Phys. doi: 10.1007\/s10773-012-1246-z","DOI":"10.1007\/s10773-012-1246-z"},{"key":"520_CR22","doi-asserted-by":"crossref","first-page":"1187","DOI":"10.1007\/s10773-011-0994-5","volume":"51","author":"H-Y Jia","year":"2012","unstructured":"Jia, H.-Y., Wen, Q.-Y., Li, Y.-B., Gao, F.: Quantum private comparison using genuine four-particle entangled states. Int. J. Theor. Phys. 51, 1187\u20131194 (2012)","journal-title":"Int. J. Theor. Phys."},{"key":"520_CR23","doi-asserted-by":"crossref","unstructured":"Liu, B., Gao, F., Jia, H.-Y., Huang, W., Zhang, W.-W., Wen, Q.-Y.: Efficient quantum private comparison employing single photons and collective detection. Quantum Inf. Process. (2012). doi: 10.1007\/s11128-012-0439-y","DOI":"10.1007\/s11128-012-0439-y"},{"key":"520_CR24","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s11128-011-0251-0","volume":"11","author":"H-Y Tseng","year":"2012","unstructured":"Tseng, H.-Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11, 373\u2013384 (2012)","journal-title":"Quantum Inf. Process."},{"key":"520_CR25","doi-asserted-by":"crossref","unstructured":"Yang, Y.-G., Xia, J., Jia, X., Zhang, H.: Comment on \u201cQuantum private comparison protocols with a semi-honest third party\u201d. Quantum Inf. Process. (2012). doi: 10.1007\/s11128-012-0433-4","DOI":"10.1007\/s11128-012-0433-4"},{"key":"520_CR26","doi-asserted-by":"crossref","unstructured":"Zhang, W.-W., Zhang, K.-J.: Cryptanalysis and improvement of the quantum private comparison protocol with semi-honest third party. Quantum Inf. Process. (2012). doi: 10.1007\/s11128-012-0507-3","DOI":"10.1007\/s11128-012-0507-3"},{"key":"520_CR27","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/j.optcom.2010.09.005","volume":"284","author":"HY Jia","year":"2011","unstructured":"Jia, H.Y., Wen, Q.Y., Song, T.T., Gao, F.: Quantum protocol for millionaire problem. Opt. Commun. 284, 545\u2013549 (2011)","journal-title":"Opt. Commun."},{"key":"520_CR28","doi-asserted-by":"crossref","unstructured":"Lin, S., Sun, Y., Liu, X.-F., Yao, Z.-Q.: Quantum private comparison protocol with d-dimensional Bell states. Quantum Inf. Process. (2012). doi: 10.1007\/s11128-012-0395-6","DOI":"10.1007\/s11128-012-0395-6"},{"key":"520_CR29","doi-asserted-by":"crossref","first-page":"032302","DOI":"10.1103\/PhysRevA.65.032302","volume":"65","author":"GL Long","year":"2002","unstructured":"Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302 (2002)","journal-title":"Phys. Rev. A"},{"key":"520_CR30","first-page":"329","volume":"7","author":"F Gao","year":"2007","unstructured":"Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: A simple participant attack on the Bradler C-Dusek protocol. Quantum Inf. Comput. 7, 329 (2007)","journal-title":"Quantum Inf. Comput."},{"key":"520_CR31","doi-asserted-by":"crossref","first-page":"062324","DOI":"10.1103\/PhysRevA.76.062324","volume":"76","author":"SJ Qin","year":"2007","unstructured":"Qin, S.J., Gao, F., Wen, Q.Y., et al.: Cryptanalysis of the Hillery\u2013Buzek\u2013Berthiaume quantum secret-sharing protocol. Phys. Rev. A 76, 062324 (2007)","journal-title":"Phys. Rev. A"},{"key":"520_CR32","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1016\/j.physleta.2006.08.016","volume":"360","author":"F Gao","year":"2007","unstructured":"Gao, F., Wen, Q.Y., Zhu, F.C.: Comment on: \u201cQuantum exam\u201d [Phys. Lett. A, 350:174 (2006)]. Phys. Lett. A 360, 748 (2007)","journal-title":"Phys. Lett. A"},{"key":"520_CR33","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.optcom.2009.09.047","volume":"283","author":"F Gao","year":"2010","unstructured":"Gao, F., Qin, S.J., Wen, Q.Y., et al.: Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger\u2013Horne\u2013Zeilinger state. Opt. Commun. 283, 192 (2010)","journal-title":"Opt. Commun."},{"key":"520_CR34","doi-asserted-by":"crossref","first-page":"208901","DOI":"10.1103\/PhysRevLett.101.208901","volume":"101","author":"F Gao","year":"2008","unstructured":"Gao, F., Guo, F.Z., Wen, Q.Y., et al.: Comment on \u201cExperimental demonstration of a quantum protocol for Byzantine agreement and liar detection\u201d. Phys. Rev. Lett. 101, 208901 (2008)","journal-title":"Phys. Rev. Lett."},{"key":"520_CR35","doi-asserted-by":"crossref","first-page":"1333","DOI":"10.1088\/1674-1056\/18\/4\/007","volume":"18","author":"TT Song","year":"2009","unstructured":"Song, T.T., Zhang, J., Gao, F., et al.: Participant attack on quantum secret sharing based on entanglement swapping. Chin. Phys. B 18, 1333 (2009)","journal-title":"Chin. Phys. B"},{"key":"520_CR36","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1140\/epjd\/e2009-00306-3","volume":"56","author":"FZ Guo","year":"2010","unstructured":"Guo, F.Z., Qin, S.J., Gao, F., et al.: Participant attack on a kind of MQSS schemes based on entanglement swapping. Eur. Phys. J. D 56, 445 (2010)","journal-title":"Eur. Phys. J. D"},{"key":"520_CR37","doi-asserted-by":"crossref","first-page":"036301","DOI":"10.1103\/PhysRevA.76.036301","volume":"76","author":"S Lin","year":"2007","unstructured":"Lin, S., Gao, F., Guo, F.Z., et al.: Comment on \u201cMultiparty quantum secret sharing of classical messages based on entanglement swapping\u201d. Phys. Rev. A 76, 036301 (2007)","journal-title":"Phys. Rev. A"},{"key":"520_CR38","doi-asserted-by":"crossref","first-page":"4553","DOI":"10.1016\/j.optcom.2008.05.026","volume":"281","author":"S Lin","year":"2008","unstructured":"Lin, S., Wen, Q.Y., Gao, F., et al.: Improving the security of multiparty quantum secret sharing based on the improved Bostrom\u2013Felbinger protocol. Opt. Commun. 281, 4553 (2008)","journal-title":"Opt. Commun."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-012-0520-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-012-0520-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-012-0520-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,7]],"date-time":"2019-07-07T23:11:24Z","timestamp":1562541084000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-012-0520-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,5]]},"references-count":38,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["520"],"URL":"https:\/\/doi.org\/10.1007\/s11128-012-0520-6","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2013,1,5]]}}}