六光子超纠缠态制备方案

丁东; 何英秋; 闫凤利; 高亭

doi:10.7498/aps.64.160301

摘要

自发参量下转换对应于一种非线性光学过程, 实验上作为一种标准方法, 人们利用自发参量下转换源产生纠缠光子对. 本文考虑由自发参量下转换源产生三对纠缠光子的情况. 通过使用由几组偏振光束分束器、分束器和半波片等线性光学器件组成的量子线路演化三对光子, 给出了一个高效制备包含偏振纠缠和空间纠缠的六光子超纠缠态方案. 因为方案中包含了参量下转换源产生三对纠缠光子的所有可能情况, 所以本方案有很高的效率. 基于弱非线性介质构建了一个量子非破坏性测量装置, 用于区分光子在两指定的空间模中的两种分布情况. 特别地, 方案中可以通过合理约束在量子非破坏性测量过程中引入的非线性强度来达到实际实验所限定的数量级, 因此, 该方案易于在实验上实现.

关键词:

Abstract

Nowadays, the nonlinear optical process of spontaneous parametric down-conversion is considered as the canonical approach for creating entangled-photon pairs. We consider three pairs of entangled photons emitted by the parametric down-conversion source, and introduce a setup for evolving these photons based on linear optics, which is composed of several polarizing beam splitters, beam splitters, and half wave plates. By using the parametric down-conversion source and the setup, we carefully design an efficient scheme for preparing six-photon hyperentangled states in both the polarization and the spatial degrees of freedom. Because we use almost all possible behaviors of the three pairs of entangled photons, the present scheme is efficient for creating six-photon hyperentangled states. Next, in the regime of weak nonlinearity we design a quantum nondemolition detection to distinguish the two cases of photons in two special spatial modes. It is worth pointing out that our scheme is much easier to realize, since the strength of the nonlinearities in the process of quantum nondemolition detection can be restricted to the scalable orders of magnitude in practicality.

Keywords:

作者及机构信息

1.
华北科技学院基础部, 北京 101601;

2.
河北师范大学物理科学与信息工程学院, 石家庄 050024;

3.
河北师范大学数学与信息科学学院, 石家庄 050024

基金项目: 国家自然科学基金(批准号: 11475054, 11371005)、河北省自然科学基金(批准号: A2012205013, A2014205060)、中央高校基本科研业务费(批准号: 3142014068, 3142014125)和廊坊市科技支撑计划项目(批准号: 2014011002)资助的课题.

Authors and contacts

1.
Department of Basic Curriculum, North China Institute of Science and Technology, Beijing 101601, China;

2.
College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050024, China;

3.
College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11475054, 11371005), the Hebei Natural Science Foundation, China (Grant Nos. A2012205013, A2014205060), the Fundamental Research Funds for the Central Universities of Ministry of Education, China (Grant Nos. 3142014068, 3142014125), and the Langfang Key Technology Research and Development Program, China (Grant No. 2014011002).

参考文献

[1]	Knill E, Laflamme R, Milburn G J 2001 Nature 409 46
[2]	Pan J W, Chen Z B, Lu C Y, Weinfurter H, Zeilinger A, Zkowski M 2012 Rev. Mod. Phys. 84 777
[3]	Kwiat P G, Mattle K, Weinfurter H, Zeilinger A, Sergienko A V, Shih Y 1995 Phys. Rev. Lett. 75 4337
[4]	Bouwmeester D, Pan J W, Daniell M, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 82 1345
[5]	Pan J W, Daniell M, Gasparoni S, Weihs G, Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[6]	Jin G S, Lin Y, Wu B 2007 Phys. Rev. A 75 054302
[7]	Wang H F, Zhang S 2009 Phys. Rev. A 79 042336
[8]	Kwiat P G 1997 J. Mod. Opt. 44 2173
[9]	Du K, Qiao C F 2012 J. Mod. Opt. 59 611
[10]	He Y Q, Ding D, Yan F L, Gao T 2015 J. Phys. B 48 055501
[11]	Simon C, Pan J W 2002 Phys. Rev. Lett. 89 257901
[12]	Sheng Y B, Deng F G 2010 Phys. Rev. A 82 044305
[13]	Ding D, Yan F L 2013 Phys. Lett. A 377 1088
[14]	Chiuri A, Greganti C, Paternostro M, Vallone G, Mataloni P 2012 Phys. Rev. Lett. 109 173604
[15]	Xu X F, Bao X H, Pan J W 2012 Phys. Rev. A 86 050304
[16]	Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
[17]	Greenberger D M, Horne M A, Shimony A, Zeilinger A 1990 Am. J. Phys. 58 1131
[18]	Yan F L, Gao T, Chitambar E 2011 Phys. Rev. A 83 022319
[19]	Gao T, Yan F L, van Enk S J 2014 Phys. Rev. Lett. 112 180501
[20]	Bai Y K, Xu Y F, Wang Z D 2014 Phys. Rev. Lett. 113 100503
[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, Beausoleil R G, Spiller T P 2005 Phys. Rev. A 71 033819
[24]	Nemoto K, Munro W J 2004 Phys. Rev. Lett. 93 250502
[25]	Lin Q, He B, Bergou J A, Ren Y H 2009 Phys. Rev. A 80 042311
[26]	Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J, Spiller T P 2005 Phys. Rev. A 71 060302
[27]	Sheng Y B, Deng F G, Long G L 2010 Phys. Rev. A 82 032318
[28]	Ding D, Yan F L, Gao T 2014 Sci. China: Phys. Mech. Astron. 57 2098
[29]	Ding D, Yan F L, Gao T 2013 J. Opt. Soc. Am. B 30 3075
[30]	Ding D, Yan F L 2013 Acta Phys. Sin. 62 100304 (in Chinese) [丁东, 闫凤利 2013 62 100304]
[31]	Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 135
[32]	Kok P 2008 Phys. Rev. A 77 013808

施引文献

[1]	Knill E, Laflamme R, Milburn G J 2001 Nature 409 46
[2]	Pan J W, Chen Z B, Lu C Y, Weinfurter H, Zeilinger A, Zkowski M 2012 Rev. Mod. Phys. 84 777
[3]	Kwiat P G, Mattle K, Weinfurter H, Zeilinger A, Sergienko A V, Shih Y 1995 Phys. Rev. Lett. 75 4337
[4]	Bouwmeester D, Pan J W, Daniell M, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 82 1345
[5]	Pan J W, Daniell M, Gasparoni S, Weihs G, Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[6]	Jin G S, Lin Y, Wu B 2007 Phys. Rev. A 75 054302
[7]	Wang H F, Zhang S 2009 Phys. Rev. A 79 042336
[8]	Kwiat P G 1997 J. Mod. Opt. 44 2173
[9]	Du K, Qiao C F 2012 J. Mod. Opt. 59 611
[10]	He Y Q, Ding D, Yan F L, Gao T 2015 J. Phys. B 48 055501
[11]	Simon C, Pan J W 2002 Phys. Rev. Lett. 89 257901
[12]	Sheng Y B, Deng F G 2010 Phys. Rev. A 82 044305
[13]	Ding D, Yan F L 2013 Phys. Lett. A 377 1088
[14]	Chiuri A, Greganti C, Paternostro M, Vallone G, Mataloni P 2012 Phys. Rev. Lett. 109 173604
[15]	Xu X F, Bao X H, Pan J W 2012 Phys. Rev. A 86 050304
[16]	Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
[17]	Greenberger D M, Horne M A, Shimony A, Zeilinger A 1990 Am. J. Phys. 58 1131
[18]	Yan F L, Gao T, Chitambar E 2011 Phys. Rev. A 83 022319
[19]	Gao T, Yan F L, van Enk S J 2014 Phys. Rev. Lett. 112 180501
[20]	Bai Y K, Xu Y F, Wang Z D 2014 Phys. Rev. Lett. 113 100503
[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, Beausoleil R G, Spiller T P 2005 Phys. Rev. A 71 033819
[24]	Nemoto K, Munro W J 2004 Phys. Rev. Lett. 93 250502
[25]	Lin Q, He B, Bergou J A, Ren Y H 2009 Phys. Rev. A 80 042311
[26]	Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J, Spiller T P 2005 Phys. Rev. A 71 060302
[27]	Sheng Y B, Deng F G, Long G L 2010 Phys. Rev. A 82 032318
[28]	Ding D, Yan F L, Gao T 2014 Sci. China: Phys. Mech. Astron. 57 2098
[29]	Ding D, Yan F L, Gao T 2013 J. Opt. Soc. Am. B 30 3075
[30]	Ding D, Yan F L 2013 Acta Phys. Sin. 62 100304 (in Chinese) [丁东, 闫凤利 2013 62 100304]
[31]	Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 135
[32]	Kok P 2008 Phys. Rev. A 77 013808

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