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The scheme for quantum nondemolition measurement of two-photon Bell-state and three-photon Greenberger-Horne-Zeilinger (GHZ)-state is proposed based on weak nonlinearities and linear-optics elements. We first describe a scheme of the symmetry analyzer for two-photon Bell-state by using beam splitters and cross-Kerr nonlinear medium. According to this symmetry analyzer for two-photon Bell-state and the controlled-NOT gates we construct a three-photon state analyzer which can completely and nondestructively discriminate eight three-photon GHZ states.
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Keywords:
- Bell-state detection /
- Greenberger-Horne-Zeilinger-state detection /
- weak nonlinearity /
- quantum nondemolition detection
[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Schrödinger E 1935 Naturwiss. 23 807
[3] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 135
[4] Yan F L, Gao T, Chitambar E 2011 Phys. Rev. A 83 022319
[5] Ekert A K 1991 Phys. Rev. Lett. 67 661
[6] Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[7] Deng F G, Long G L, Liu X S 2003 Phys. Rev. A 68 042317
[8] Yan F L, Ding D 2008 Commun. Theor. Phys. 50 1109
[9] Kwiat P G, Mattle K, Weinfurter H, Zeilinger A 1995 Phys. Rev. Lett. 75 4337
[10] Zeilinger A, Horne M A, Weinfurter H, Zukowski M 1997 Phys. Rev. Lett. 78 3031
[11] Bouwmeester D, Pan J W, Daniell M, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 82 1345
[12] Pan J W, Daniell M, Gasparoni S, Weihs G, Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[13] Mattle K, Weinfurter H, Kwiat P G, Zeilinger A 1996 Phys. Rev. Lett. 76 4656
[14] Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J, Spiller T P 2005 Phys. Rev. A 71 060302(R)
[15] Pavičić M 2011 Phys. Rev. Lett. 107 080403
[16] Pavičić M 2011 Phys. Rev. Lett. 107 219901
[17] Pan J W, Zeilinger A 1998 Phys. Rev. A 57 2208
[18] Qian J, Feng X L, Gong S Q 2005 Phys. Rev. A 72 052308
[19] Lin X M, Chen Z H, Lin G W, Chen X D, Ni B B 2009 Opt. Commun. 282 3371
[20] Chen X D, Xiao S J, Gu Y J, Lin X M 2010 Acta Phys. Sin. 59 5251 (in Chinese) [陈晓东, 肖邵军, 顾永建, 林秀敏 2010 59 5251]
[21] Boyd R W 1999 J. Mod. Opt. 46 367
[22] Kok P, Lee H, Dowling J P 2002 Phys. Rev. A 66 063814
[23] Munro W J, Nemoto K, Spiller T P 2005 New J. Phys. 7 137
[24] Nemoto K, Munro W J 2004 Phys. Rev. Lett. 93 250502
[25] Lin Q, He B 2009 Phys. Rev. A 80 042310
[26] Sheng Y B, Deng F G 2010 Phys. Rev. A 82 044305
[27] Gasparoni S, Pan J W, Walther P, Rudolph T, Zeilinger A 2004 Phys. Rev. Lett. 93 020504
[28] Kok P 2008 Phys. Rev. A 77 013808
[29] Lukin M D, Imamoğlu A 2000 Phys. Rev. Lett. 84 1419
[30] Munro W J, Nemoto K, Beausolei R G, Spiller T P 2005 Phys. Rev. A 71 033819
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[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Schrödinger E 1935 Naturwiss. 23 807
[3] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 135
[4] Yan F L, Gao T, Chitambar E 2011 Phys. Rev. A 83 022319
[5] Ekert A K 1991 Phys. Rev. Lett. 67 661
[6] Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[7] Deng F G, Long G L, Liu X S 2003 Phys. Rev. A 68 042317
[8] Yan F L, Ding D 2008 Commun. Theor. Phys. 50 1109
[9] Kwiat P G, Mattle K, Weinfurter H, Zeilinger A 1995 Phys. Rev. Lett. 75 4337
[10] Zeilinger A, Horne M A, Weinfurter H, Zukowski M 1997 Phys. Rev. Lett. 78 3031
[11] Bouwmeester D, Pan J W, Daniell M, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 82 1345
[12] Pan J W, Daniell M, Gasparoni S, Weihs G, Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[13] Mattle K, Weinfurter H, Kwiat P G, Zeilinger A 1996 Phys. Rev. Lett. 76 4656
[14] Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J, Spiller T P 2005 Phys. Rev. A 71 060302(R)
[15] Pavičić M 2011 Phys. Rev. Lett. 107 080403
[16] Pavičić M 2011 Phys. Rev. Lett. 107 219901
[17] Pan J W, Zeilinger A 1998 Phys. Rev. A 57 2208
[18] Qian J, Feng X L, Gong S Q 2005 Phys. Rev. A 72 052308
[19] Lin X M, Chen Z H, Lin G W, Chen X D, Ni B B 2009 Opt. Commun. 282 3371
[20] Chen X D, Xiao S J, Gu Y J, Lin X M 2010 Acta Phys. Sin. 59 5251 (in Chinese) [陈晓东, 肖邵军, 顾永建, 林秀敏 2010 59 5251]
[21] Boyd R W 1999 J. Mod. Opt. 46 367
[22] Kok P, Lee H, Dowling J P 2002 Phys. Rev. A 66 063814
[23] Munro W J, Nemoto K, Spiller T P 2005 New J. Phys. 7 137
[24] Nemoto K, Munro W J 2004 Phys. Rev. Lett. 93 250502
[25] Lin Q, He B 2009 Phys. Rev. A 80 042310
[26] Sheng Y B, Deng F G 2010 Phys. Rev. A 82 044305
[27] Gasparoni S, Pan J W, Walther P, Rudolph T, Zeilinger A 2004 Phys. Rev. Lett. 93 020504
[28] Kok P 2008 Phys. Rev. A 77 013808
[29] Lukin M D, Imamoğlu A 2000 Phys. Rev. Lett. 84 1419
[30] Munro W J, Nemoto K, Beausolei R G, Spiller T P 2005 Phys. Rev. A 71 033819
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