Four-mode coherent-entangled state and its application

doi:10.1088/1674-1056/21/1/010305

中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10305-010305.doi: 10.1088/1674-1056/21/1/010305

Four-mode coherent-entangled state and its application

徐兴磊¹, 任廷琦², 李洪奇³, 张运海³

(1)Department of Physics, Heze University, Heze 274015, China; Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; (2)Department of Physics, Qufu Normal University, Qufu 273165, China; (3)Department of Physics, Qufu Normal University, Qufu 273165, China; Department of Physics, Heze University, Heze 274015, China; Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China

收稿日期:2011-08-08 修回日期:2011-09-15 出版日期:2012-01-15 发布日期:2012-01-20
基金资助:
Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A16), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20103705110001), the University Experimental Technology Foun

Four-mode coherent-entangled state and its application

Li Hong-Qi(李洪奇)^a)b)c), Ren Ting-Qi(任廷琦)^a), Zhang Yun-Hai(张运海)^a)b)c), and Xu Xing-Lei(徐兴磊)^b)c)†

^a Department of Physics, Qufu Normal University, Qufu 273165, China; ^b Department of Physics, Heze University, Heze 274015, China; ^c Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China

Received:2011-08-08 Revised:2011-09-15 Online:2012-01-15 Published:2012-01-20
Supported by:
Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A16), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20103705110001), the University Experimental Technology Foun

摘要/Abstract

摘要： A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.

关键词: coherent-entangled state, beam splitter, squeezing-Fresnel operator, technique of integration within an ordered product

Abstract: A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.

Key words: coherent-entangled state, beam splitter, squeezing-Fresnel operator, technique of integration within an ordered product

中图分类号: (Quantum information)

03.67.-a

03.65.-w (Quantum mechanics)

李洪奇, 任廷琦, 张运海, 徐兴磊. Four-mode coherent-entangled state and its application[J]. 中国物理B, 2012, 21(1): 10305-010305.

Li Hong-Qi(李洪奇), Ren Ting-Qi(任廷琦), Zhang Yun-Hai(张运海), and Xu Xing-Lei(徐兴磊) . Four-mode coherent-entangled state and its application[J]. Chin. Phys. B, 2012, 21(1): 10305-010305.

参考文献 26

[1]	Glauber R J 1963 Phys. Rev. 130 2529
[2]	Glauber R J 1963 Phys. Rev. 131 2766
[3]	Cahill K E and Glauber R J 1969 Phys. Rev. 177 1857
[4]	Cahill K E and Glauber R J 1969 Phys. Rev. 177 1882
[5]	Klauder J R and Skargerstam B S 1985 Coherent States (Singapore: World Scientific)
[6]	Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[7]	Fan H Y, Zaidi R and Klauder J R 1987 Phys. Rev. D 35 1831
[8]	Fan H Y 2002 Phys. Lett. A 294 253
[9]	Xu X L, Xu S M, Li H Q, Zhang Y H and Wang J S 2011 Chin. Phys. B 20 010301
[10]	Xu S M, Xu X L and Li H Q 2008 Acta Phys. Sin. 57 7430 (in Chinese)
[11]	Xu S M, Xu X L, Li H Q and Wang J S 2009 Sci. China Ser. G Phys. Mech. Astron. 52 1027
[12]	Li H Q, Xu S M, Xu X L and Wang J S 2009 Sci. China Ser. G Phys. Mech. Astron. 52 1813
[13]	Meng X G, Wang J S and Liang B L 2011 Chin. Phys. B 20 050303
[14]	Fan H Y and Hu L Y 2009 Int. J. Mod. Phys. A 24 2689
[15]	Fan H Y and Hu L Y 2004 J. Phys. A: Math. Gen. 37 10993
[16]	Li H Q, Xu S M, Xu X L and Jiang J J 2009 Acta Phys. Sin. 58 3806 (in Chinese)
[17]	Fan H Y and Wang W Q 2006 Commun. Thoer. Phys. 46 975
[18]	Li H Q, Ren T Q, Zhang Y H and Xu X L 2011 Int. J. Theor. Phys. 50 3560
[19]	Wünsche A 1999 J. Opt. B: Quantum Semiclass. Opt. 1 R11
[20]	Walls D F and Milburn G J 1994 Quantum Optics (Berlin: Springer)
[21]	Fan H Y and Hu L Y 2006 J. Phys. A: Math. Gen. 39 14133
[22]	Hu L Y and Fan H Y 2007 J. Phys. B: At. Mol. Opt. Phys. 40 2099
[23]	van Look P and Braunstein S L 2000 Phys. Rev. Lett. 84 3482
[24]	Braunstein S L and van Look P 2005 Rev. Mod. Phys. 77 513
[25]	Fan H Y and Liu S G 2007 Int. J. Mod. Phys. A 22 4481
[26]	Fan H Y 2007 Ann. Phys. 322 866

Four-mode coherent-entangled state and its application

Four-mode coherent-entangled state and its application

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 26

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	杜舸海, 李宏伟, 汪洋, 鲍皖苏. Attacking a high-dimensional quantum key distribution system with wavelength-dependent beam splitter[J]. 中国物理B, 2019, 28(9): 90301-090301.
[2]	刘建彬, 王婧婧, 徐卓. Second-order temporal interference of two independent light beams at an asymmetrical beam splitter[J]. 中国物理B, 2017, 26(1): 14201-014201.
[3]	蒋小军, 李晓林, 张海潮, 王育竹. Demonstration of a cold atom beam splitter on atom chip[J]. 中国物理B, 2016, 25(8): 80311-080311.
[4]	郭文龙, 王光明, 丁姗姗, 李海鹏, 蔡通. Utra-thin anisotropic transmitting metasurface for polarization beam splitter application[J]. 中国物理B, 2016, 25(8): 84101-084101.
[5]	郭文龙, 王光明, 李海鹏, 张昆, 蔡通. Ultra-thin two-dimensional transmissive anisotropic metasurfaces for polarization filter and beam steering application[J]. 中国物理B, 2016, 25(10): 104101-104101.
[6]	范振凯, 李曙光, 范玉秋, 张婉, 安国文, 鲍亚杰. Designing analysis of the polarization beam splitter in two communication bands based on a gold-filled dual-corephotonic crystal fiber[J]. , 2014, 23(9): 94212-094212.
[7]	K. Berrada. Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters[J]. 中国物理B, 2014, 23(2): 24208-024208.
[8]	鲍亚杰, 李曙光, 张婉, 安国文, 范振凯. Designing of a polarization beam splitter for the wavelength of1310 nm on dual-core photonic crystal fiber with high birefringence and double-zero dispersion[J]. 中国物理B, 2014, 23(10): 104218-104218.
[9]	朱清溢, 付永启, 胡德清, 章志敏. A novel optical beam splitter based on photonic crystal with hybrid lattices[J]. 中国物理B, 2012, 21(6): 64220-064220.
[10]	冯帅, 任承, 王文忠, 王义全 . Controlling the self-collimation characteristics of near-infrared two-dimensional metallic photonic crystal[J]. 中国物理B, 2012, 21(11): 114212-114212.
[11]	谢传梅, 范洪义. The Fresnel–Weyl complementary transformation[J]. 中国物理B, 2012, 21(10): 100302-100302.
[12]	孟祥国, 王继锁, 张晓燕. A new bipartite entangled state describing the parametric down-conversion process and its applications in quantum optics[J]. 中国物理B, 2012, 21(10): 100305-100305.
[13]	孟祥国, 王继锁, 梁宝龙. Some applications of a new coherent-entangled state in two-mode Fock space[J]. 中国物理B, 2011, 20(5): 50303-050303.
[14]	麻健勇, 许程, 强颖怀, 朱亚波. Broadband non-polarizing beam splitter based on guided mode resonance effect[J]. 中国物理B, 2011, 20(10): 104209-104209.
[15]	赵华君, 彭拥军, 谭菊, 廖长荣, 李鹏, 任晓霞. Optimal design of sub-wavelength metal rectangular gratings for polarizing beam splitter based on effective medium theory[J]. 中国物理B, 2009, 18(12): 5326-5330.