Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61272057, 61572081 and 61502200), Beijing Higher Education Young Elite Teacher Project (Grant Nos. YETP0475 and YETP0477), the Natural Science Foundation of Guangdong Province (Grant No. 2014A030310245), the Fundamental Research Funds for the Central Universities (Grant No. 21615313) and the Youth Foundation of Heilongjiang University from January, 2016.

References

[1] C. H. Bennett, and G. Brassard, in Quantum cryptography. Public key distribution and coin tossing: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175.. Google Scholar http://scholar.google.com/scholar_lookup?title=C. H. Bennett, and G. Brassard, in Quantum cryptography. Public key distribution and coin tossing: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175.&

[2] Zhang C. M., Li M., Yin Z. Q., Li H. W., Chen W., Han Z. F.. Sci. China-Phys. Mech. Astron., 2015, 58: 590301 Google Scholar http://scholar.google.com/scholar_lookup?author=Zhang C. M.&author=Li M.&author=Yin Z. Q.&author=Li H. W.&author=Chen W.&author=Han Z. F.&publication_year=2015&journal=Sci. China-Phys. Mech. Astron.&volume=58&pages=590301

[3] Su X.. Chin. Sci. Bull., 2014, 59: 1083 Google Scholar http://scholar.google.com/scholar_lookup?author=Su X.&publication_year=2014&journal=Chin. Sci. Bull.&volume=59&pages=1083

[4] Bennett C. H., Brassard G., Crépeau C., Jozsa R., Peres A., Wootters W. K.. Phys. Rev. Lett., 1993, 70: 1895 Google Scholar http://scholar.google.com/scholar_lookup?author=Bennett C. H.&author=Brassard G.&author=Crépeau C.&author=Jozsa R.&author=Peres A.&author=Wootters W. K.&publication_year=1993&journal=Phys. Rev. Lett.&volume=70&pages=1895

[5] Bennett C. H., Wiesner S.. Phys. Rev. Lett., 1992, 69: 2881 Google Scholar http://scholar.google.com/scholar_lookup?author=Bennett C. H.&author=Wiesner S.&publication_year=1992&journal=Phys. Rev. Lett.&volume=69&pages=2881

[6] Long G. L., Liu X. S.. Phys. Rev. A, 2002, 65: 032302 Google Scholar http://scholar.google.com/scholar_lookup?author=Long G. L.&author=Liu X. S.&publication_year=2002&journal=Phys. Rev. A&volume=65&pages=032302

[7] Beige A., Englert B. G., Kurtsiefer C., Weinfurter H.. Acta Phys. Pol. A, 2002, 101: 357 Google Scholar http://scholar.google.com/scholar_lookup?author=Beige A.&author=Englert B. G.&author=Kurtsiefer C.&author=Weinfurter H.&publication_year=2002&journal=Acta Phys. Pol. A&volume=101&pages=357

[8] Beige A., Englert B. G., Kurtsiefer C., Weinfurter H.. J. Phys. A-Math. Gen., 2002, 35: L407 Google Scholar http://scholar.google.com/scholar_lookup?author=Beige A.&author=Englert B. G.&author=Kurtsiefer C.&author=Weinfurter H.&publication_year=2002&journal=J. Phys. A-Math. Gen.&volume=35&pages=L407

[9] Bostr?m K., Felbinger T.. Phys. Rev. Lett., 2002, 89: 187902 Google Scholar http://scholar.google.com/scholar_lookup?author=Bostr?m K.&author=Felbinger T.&publication_year=2002&journal=Phys. Rev. Lett.&volume=89&pages=187902

[10] Cai Q. Y.. Phys. Rev. Lett., 2003, 91: 109801 Google Scholar http://scholar.google.com/scholar_lookup?author=Cai Q. Y.&publication_year=2003&journal=Phys. Rev. Lett.&volume=91&pages=109801

[11] Wojcik A.. Phys. Rev. Lett., 2003, 90: 157901 Google Scholar http://scholar.google.com/scholar_lookup?author=Wojcik A.&publication_year=2003&journal=Phys. Rev. Lett.&volume=90&pages=157901

[12] Deng F. G., Long G. L., Liu X. S.. Phys. Rev. A, 2003, 68: 042317 Google Scholar http://scholar.google.com/scholar_lookup?author=Deng F. G.&author=Long G. L.&author=Liu X. S.&publication_year=2003&journal=Phys. Rev. A&volume=68&pages=042317

[13] Deng F. G., Long G. L.. Phys. Rev. A, 2004, 69: 052319 Google Scholar http://scholar.google.com/scholar_lookup?author=Deng F. G.&author=Long G. L.&publication_year=2004&journal=Phys. Rev. A&volume=69&pages=052319

[14] Lin S., Wen Q. Y., Zhu F. C.. Phys. Rev. A, 2008, 78: 064304 Google Scholar http://scholar.google.com/scholar_lookup?author=Lin S.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2008&journal=Phys. Rev. A&volume=78&pages=064304

[15] Ye T. Y.. Sci. China-Phys. Mech. Astron., 2015, 58: 040301 Google Scholar http://scholar.google.com/scholar_lookup?author=Ye T. Y.&publication_year=2015&journal=Sci. China-Phys. Mech. Astron.&volume=58&pages=040301

[16] Zheng C., F. G.. Sci. China-Phys. Mech. Astron., 2014, 57: 1238 Google Scholar http://scholar.google.com/scholar_lookup?author=Zheng C.&author=F. G.&publication_year=2014&journal=Sci. China-Phys. Mech. Astron.&volume=57&pages=1238

[17] Chang Y., Zhang S. B., Li J., Yan L. L.. Sci. China-Phys. Mech. Astron., 2014, 57: 1907 Google Scholar http://scholar.google.com/scholar_lookup?author=Chang Y.&author=Zhang S. B.&author=Li J.&author=Yan L. L.&publication_year=2014&journal=Sci. China-Phys. Mech. Astron.&volume=57&pages=1907

[18] Qin S. J., Gao F., Wen Q. Y., Zhu F. C.. Phys. Lett. A, 2006, 357: 101 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Gao F.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2006&journal=Phys. Lett. A&volume=357&pages=101

[19] Gao F., Guo F. Z., Wen Q. Y., Zhu F. C.. Sci. China Ser. G-Phys. Mech. Astron., 2008, 51: 559 Google Scholar http://scholar.google.com/scholar_lookup?author=Gao F.&author=Guo F. Z.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2008&journal=Sci. China Ser. G-Phys. Mech. Astron.&volume=51&pages=559

[20] Gao F., Lin S., Wen Q. Y., Zhu F. C.. Chin. Phys. Lett., 2008, 25: 1561 Google Scholar http://scholar.google.com/scholar_lookup?author=Gao F.&author=Lin S.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2008&journal=Chin. Phys. Lett.&volume=25&pages=1561

[21] Gao F., Qin S. J., Wen Q. Y., Zhu F. C.. Opt. Commun., 2010, 283: 192 Google Scholar http://scholar.google.com/scholar_lookup?author=Gao F.&author=Qin S. J.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2010&journal=Opt. Commun.&volume=283&pages=192

[22] Qin S. J., Gao F., Wen Q. Y., Meng L. M., Zhu F. C.. Opt. Commun., 2009, 282: 4014 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Gao F.&author=Wen Q. Y.&author=Meng L. M.&author=Zhu F. C.&publication_year=2009&journal=Opt. Commun.&volume=282&pages=4014

[23] Zhu F. C., Wen Q. Y., Gao F.. Chin. Phys. B, 2008, 17: 3189 Google Scholar http://scholar.google.com/scholar_lookup?author=Zhu F. C.&author=Wen Q. Y.&author=Gao F.&publication_year=2008&journal=Chin. Phys. B&volume=17&pages=3189

[24] Gao F., Guo F. Z., Wen Q. Y., Zhu F. C.. Chin. Phys. Lett., 2008, 25: 2766 Google Scholar http://scholar.google.com/scholar_lookup?author=Gao F.&author=Guo F. Z.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2008&journal=Chin. Phys. Lett.&volume=25&pages=2766

[25] Qin S. J., Wen Q. Y., Meng L. M., Zhu F. C.. Sci. China Ser. G-Phys. Mech. Astron., 2009, 52: 1208 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Wen Q. Y.&author=Meng L. M.&author=Zhu F. C.&publication_year=2009&journal=Sci. China Ser. G-Phys. Mech. Astron.&volume=52&pages=1208

[26] Qin S. J., Gao F., Wen Q. Y., Zhu F. C.. Commun. Theor. Phys., 2010, 53: 645 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Gao F.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2010&journal=Commun. Theor. Phys.&volume=53&pages=645

[27] Long G. L., Wang C., Li Y. S., Deng F. G.. Sci. Sin.-Phys. Mech. Astron., 2011, 41: 332 Google Scholar http://scholar.google.com/scholar_lookup?author=Long G. L.&author=Wang C.&author=Li Y. S.&author=Deng F. G.&publication_year=2011&journal=Sci. Sin.-Phys. Mech. Astron.&volume=41&pages=332

[28] Hillery M., Buzk V.. Phys. Rev. A, 1999, 59: 1829 Google Scholar http://scholar.google.com/scholar_lookup?author=Hillery M.&author=Buzk V.&publication_year=1999&journal=Phys. Rev. A&volume=59&pages=1829

[29] Karlsson A., Koashi M., Imoto N.. Phys. Rev. A, 1999, 59: 162 Google Scholar http://scholar.google.com/scholar_lookup?author=Karlsson A.&author=Koashi M.&author=Imoto N.&publication_year=1999&journal=Phys. Rev. A&volume=59&pages=162

[30] Cleve R., Gottesman D., Lo H. K.. Phys. Rev. Lett., 1999, 83: 648 Google Scholar http://scholar.google.com/scholar_lookup?author=Cleve R.&author=Gottesman D.&author=Lo H. K.&publication_year=1999&journal=Phys. Rev. Lett.&volume=83&pages=648

[31] Gottesman D.. Phys. Rev. A, 2000, 61: 042311 Google Scholar http://scholar.google.com/scholar_lookup?author=Gottesman D.&publication_year=2000&journal=Phys. Rev. A&volume=61&pages=042311

[32] Tittel W., Zbinden H., Gisin N.. Phys. Rev. A, 2001, 63: 042301 Google Scholar http://scholar.google.com/scholar_lookup?author=Tittel W.&author=Zbinden H.&author=Gisin N.&publication_year=2001&journal=Phys. Rev. A&volume=63&pages=042301

[33] Xiao L., Long G. L., Deng F. G., Pan J. W.. Phys. Rev. A, 2004, 69: 052307 Google Scholar http://scholar.google.com/scholar_lookup?author=Xiao L.&author=Long G. L.&author=Deng F. G.&author=Pan J. W.&publication_year=2004&journal=Phys. Rev. A&volume=69&pages=052307

[34] Bogdanski J., Rafiei N., Bourennane M.. Phys. Rev. A, 2008, 78: 062307 Google Scholar http://scholar.google.com/scholar_lookup?author=Bogdanski J.&author=Rafiei N.&author=Bourennane M.&publication_year=2008&journal=Phys. Rev. A&volume=78&pages=062307

[35] Yang Y. G., Wang Y., Chai H. P., Teng Y. W., Zhang H.. Opt. Commun., 2011, 284: 3479 Google Scholar http://scholar.google.com/scholar_lookup?author=Yang Y. G.&author=Wang Y.&author=Chai H. P.&author=Teng Y. W.&author=Zhang H.&publication_year=2011&journal=Opt. Commun.&volume=284&pages=3479

[36] Deng F. G., Li X. H., Zhou H. Y., Zhang Z. J.. Phys. Rev. A, 2005, 72: 044302 Google Scholar http://scholar.google.com/scholar_lookup?author=Deng F. G.&author=Li X. H.&author=Zhou H. Y.&author=Zhang Z. J.&publication_year=2005&journal=Phys. Rev. A&volume=72&pages=044302

[37] Qin S. J., Gao F., Wen Q. Y., Zhu F. C.. Phys. Lett. A, 2006, 357: 101 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Gao F.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2006&journal=Phys. Lett. A&volume=357&pages=101

[38] Qin S. J., Gao F., Wen Q. Y., Zhu F. C.. Phys. Rev. A, 2007, 76: 062324 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Gao F.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2007&journal=Phys. Rev. A&volume=76&pages=062324

[39] Qin S. J., Wen Q. Y., Zhu F. C.. J. Phys. B, 2007, 40: 4661 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2007&journal=J. Phys. B&volume=40&pages=4661

[40] Qin S. J., Gao F., Wen Q. Y., Zhu F. C.. Quant. Inf. Comput., 2009, 9: 0765 Google Scholar http://scholar.google.com/scholar_lookup?author=Qin S. J.&author=Gao F.&author=Wen Q. Y.&author=Zhu F. C.&publication_year=2009&journal=Quant. Inf. Comput.&volume=9&pages=0765

[41] Wang T. Y., Wen Q. Y., Gao F., Lin S., Zhu F. C.. Phys. Lett. A, 2008, 373: 65 Google Scholar http://scholar.google.com/scholar_lookup?author=Wang T. Y.&author=Wen Q. Y.&author=Gao F.&author=Lin S.&author=Zhu F. C.&publication_year=2008&journal=Phys. Lett. A&volume=373&pages=65

[42] Wang T. Y., Wen Q. Y., Chen X. B., Guo F. Z., Zhu F. C.. Opt. Commun., 2008, 281: 6130 Google Scholar http://scholar.google.com/scholar_lookup?author=Wang T. Y.&author=Wen Q. Y.&author=Chen X. B.&author=Guo F. Z.&author=Zhu F. C.&publication_year=2008&journal=Opt. Commun.&volume=281&pages=6130

[43] Wang T. Y., Wen Q. Y.. Quant. Inf. Comput., 2011, 11: 434 Google Scholar http://scholar.google.com/scholar_lookup?author=Wang T. Y.&author=Wen Q. Y.&publication_year=2011&journal=Quant. Inf. Comput.&volume=11&pages=434

[44] Huelga S. F., Vaccaro J. A., Chefles A., Plenio M. B.. Phys. Rev. A, 2001, 63: 042303 Google Scholar http://scholar.google.com/scholar_lookup?author=Huelga S. F.&author=Vaccaro J. A.&author=Chefles A.&author=Plenio M. B.&publication_year=2001&journal=Phys. Rev. A&volume=63&pages=042303

[45] Huelga S. F., Plenio M. B., Vaccaro J. A.. Phys. Rev. A, 2002, 65: 042316 Google Scholar http://scholar.google.com/scholar_lookup?author=Huelga S. F.&author=Plenio M. B.&author=Vaccaro J. A.&publication_year=2002&journal=Phys. Rev. A&volume=65&pages=042316

[46] Wang A. M.. Phys. Rev. A, 2007, 74: 032317 Google Scholar http://scholar.google.com/scholar_lookup?author=Wang A. M.&publication_year=2007&journal=Phys. Rev. A&volume=74&pages=032317

[47] Wang A. M.. Phys. Rev. A, 2007, 75: 062323 Google Scholar http://scholar.google.com/scholar_lookup?author=Wang A. M.&publication_year=2007&journal=Phys. Rev. A&volume=75&pages=062323

[48] Zhang Z. J., Cheung C. Y.. J. Phys. B, 2011, 44: 165508 Google Scholar http://scholar.google.com/scholar_lookup?author=Zhang Z. J.&author=Cheung C. Y.&publication_year=2011&journal=J. Phys. B&volume=44&pages=165508

[49] Wang S. F., Liu Y. M., Chen J. L., Liu X. S., Zhang Z. J.. Quant. Inf. Proc., 2013, 12: 2497 Google Scholar http://scholar.google.com/scholar_lookup?author=Wang S. F.&author=Liu Y. M.&author=Chen J. L.&author=Liu X. S.&author=Zhang Z. J.&publication_year=2013&journal=Quant. Inf. Proc.&volume=12&pages=2497

[50] Ye B. L., Liu Y. M., Liu X. S., Zhang Z. J.. Chin. Phys. Lett., 2013, 30: 020301 Google Scholar http://scholar.google.com/scholar_lookup?author=Ye B. L.&author=Liu Y. M.&author=Liu X. S.&author=Zhang Z. J.&publication_year=2013&journal=Chin. Phys. Lett.&volume=30&pages=020301

[51] Ji Q. B., Liu Y. M., Yin X. F., Liu X. S., Zhang Z. J.. Quant. Inf. Proc., 2013, 12: 2453 Google Scholar http://scholar.google.com/scholar_lookup?author=Ji Q. B.&author=Liu Y. M.&author=Yin X. F.&author=Liu X. S.&author=Zhang Z. J.&publication_year=2013&journal=Quant. Inf. Proc.&volume=12&pages=2453

[52] Ji Q. B., Liu Y. M., Xie C. M., Yin X. F., Zhang Z. J.. Quant. Inf. Proc., 2014, 13: 1659 Google Scholar http://scholar.google.com/scholar_lookup?author=Ji Q. B.&author=Liu Y. M.&author=Xie C. M.&author=Yin X. F.&author=Zhang Z. J.&publication_year=2014&journal=Quant. Inf. Proc.&volume=13&pages=1659

[53] Xing H., Liu Y. M., Xie C. M., Ji Q. B., Zhang Z. J.. Quant. Inf. Proc., 2014, 13: 1553 Google Scholar http://scholar.google.com/scholar_lookup?author=Xing H.&author=Liu Y. M.&author=Xie C. M.&author=Ji Q. B.&author=Zhang Z. J.&publication_year=2014&journal=Quant. Inf. Proc.&volume=13&pages=1553

[54] Duan Y. J., Zha X. W.. Int. J. Theor. Phys., 2015, 54: 877 Google Scholar http://scholar.google.com/scholar_lookup?author=Duan Y. J.&author=Zha X. W.&publication_year=2015&journal=Int. J. Theor. Phys.&volume=54&pages=877

[55] Xing P. F., Liu Y. M., Xie C. M., Liu X. S., Zhang Z. J.. Int. J. Quant. Inform., 2014, 12: 1450011 Google Scholar http://scholar.google.com/scholar_lookup?author=Xing P. F.&author=Liu Y. M.&author=Xie C. M.&author=Liu X. S.&author=Zhang Z. J.&publication_year=2014&journal=Int. J. Quant. Inform.&volume=12&pages=1450011

[56] Xing H., Liu D. C., Xing P. F., Xie C. M., Liu X. S., Zhang Z. J.. Int. J. Quant. Inform., 2014, 12: 1450012 Google Scholar http://scholar.google.com/scholar_lookup?author=Xing H.&author=Liu D. C.&author=Xing P. F.&author=Xie C. M.&author=Liu X. S.&author=Zhang Z. J.&publication_year=2014&journal=Int. J. Quant. Inform.&volume=12&pages=1450012

[57] Guo Y., Shi R. H., Zeng G. H.. Phys. Scr., 2010, 81: 045006 Google Scholar http://scholar.google.com/scholar_lookup?author=Guo Y.&author=Shi R. H.&author=Zeng G. H.&publication_year=2010&journal=Phys. Scr.&volume=81&pages=045006

[58] Razavi M.. IEEE Trans. Commun., 2012, 60: 10 Google Scholar http://scholar.google.com/scholar_lookup?author=Razavi M.&publication_year=2012&journal=IEEE Trans. Commun.&volume=60&pages=10

[59] Qian Y. J., Shen Z. A., He G. Q., Zeng G. H.. Phys. Rev. A, 2012, 86: 052333 Google Scholar http://scholar.google.com/scholar_lookup?author=Qian Y. J.&author=Shen Z. A.&author=He G. Q.&author=Zeng G. H.&publication_year=2012&journal=Phys. Rev. A&volume=86&pages=052333

[60] Jiang M., Dong D. Y., Wu R. B.. Quant. Inf. Proc., 2012, 11: 1829 \linebreak Google Scholar http://scholar.google.com/scholar_lookup?author=Jiang M.&author=Dong D. Y.&author=Wu R. B.&publication_year=2012&journal=Quant. Inf. Proc.&volume=11&pages=1829 \linebreak

[61] Yuan H., Liu Y. M., Zhang W., Zhang Z. J.. J. Phys. B, 2008, 41: 145506 Google Scholar http://scholar.google.com/scholar_lookup?author=Yuan H.&author=Liu Y. M.&author=Zhang W.&author=Zhang Z. J.&publication_year=2008&journal=J. Phys. B&volume=41&pages=145506

[62] Yan H., Chen J. F.. Sci. China-Phys. Mech. Astron., 2015, 58: 074201, Google Scholar http://scholar.google.com/scholar_lookup?author=Yan H.&author=Chen J. F.&publication_year=2015&journal=Sci. China-Phys. Mech. Astron.&volume=58&pages=074201,

[63] Heilmann R., Grafe M., Nolte S., Szameit A.. Sci. Bull., 2015, 60: 96 Google Scholar http://scholar.google.com/scholar_lookup?author=Heilmann R.&author=Grafe M.&author=Nolte S.&author=Szameit A.&publication_year=2015&journal=Sci. Bull.&volume=60&pages=96

[64] Cao D. Y., Liu B. H., Wang Z., Huang Y. F., Li C. F., Guo G. C.. Sci. Bull., 2015, 60: 1128 Google Scholar http://scholar.google.com/scholar_lookup?author=Cao D. Y.&author=Liu B. H.&author=Wang Z.&author=Huang Y. F.&author=Li C. F.&author=Guo G. C.&publication_year=2015&journal=Sci. Bull.&volume=60&pages=1128

[65] Hu X. L., Cheng Y. H., Gu C., Zhu X. T., Liu H. Y.. Sci. Bull., 2015, 60: 1980 Google Scholar http://scholar.google.com/scholar_lookup?author=Hu X. L.&author=Cheng Y. H.&author=Gu C.&author=Zhu X. T.&author=Liu H. Y.&publication_year=2015&journal=Sci. Bull.&volume=60&pages=1980

[66] Liang Y., Zeng H. P.. Sci. China-Phys. Mech. Astron., 2014, 57: 1218 Google Scholar http://scholar.google.com/scholar_lookup?author=Liang Y.&author=Zeng H. P.&publication_year=2014&journal=Sci. China-Phys. Mech. Astron.&volume=57&pages=1218

[67] Zhang L. B., Wan C., Gu M., Xu R. Y., Zhang S., Kang L., Chen J., Wu P. H.. Sci. Bull., 2015, 60: 1434 Google Scholar http://scholar.google.com/scholar_lookup?author=Zhang L. B.&author=Wan C.&author=Gu M.&author=Xu R. Y.&author=Zhang S.&author=Kang L.&author=Chen J.&author=Wu P. H.&publication_year=2015&journal=Sci. Bull.&volume=60&pages=1434

[68] Li T., Yin Z. Q.. Sci. Bull., 2016, 61: 163 Google Scholar http://scholar.google.com/scholar_lookup?author=Li T.&author=Yin Z. Q.&publication_year=2016&journal=Sci. Bull.&volume=61&pages=163