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In this paper, the fidelity of photon subtracted (or added) squeezed vacuum state with arbitrary number of photons and squeezed cat state is derived analytically. The result shows that whether the photon is added or subtracted, the maximum fidelity increases with the increase of the change of photon number, and the amplitude of the superposition state corresponding to the maximum fidelity also increases. In addition, for the same number of subtracted or added photons, the amplitude of the superposition state corresponding to the maximum fidelity in the case of added photon is larger than in the case of subtracted photon, but the maximum fidelity in the case is smaller. Although it is more difficult to make photon added than photon subtracted the photon added can be used as an important method to obtain cat state of large amplitude.
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Keywords:
- squeezed vacuum state of photon subtracted /
- squeezed vacuum state of photon added /
- squeezed cat state /
- fidelity
[1] Dirac P A M 1958 The Principles of Quantum Mechanics (Oxford: Oxford University Press)
[2] Schrodinger E 1935 Naturwiss 23 807
[3] [4] [5] Yang B J 2007 Foundation of Quantum Communication (Beijing: Beijing University of Post and Telecommunications Press) (in Chinese) [杨伯君 2007 量子通信基础 (北京: 北京邮电大学出版社)]
[6] Yurke B, Stoler D 1986 Phys. Rev. Lett. 57 13
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[9] [10] Dakna M, Anhut T, Opatrny T, Knoll L, Welsch D C 1997 Phys. Rev. A 55 3184
[11] [12] [13] Dakna M, Clausen J, Knoll L, Welsch D C 1999 Phys. Rev. A 59 1658
[14] [15] Jeong H 2005 Phys. Rev. A 72 034305
[16] Lund A P, Jeong H, Ralph T C, Kim M S 2004 Phys. Rev. A 70 R020101
[17] [18] Jeong H, Lund A P, Ralph T C 2005 Phys. Rev. A 72 013801
[19] [20] [21] Wenger J, Tualle-Brouri R, Grangier P 2004 Phys. Rev. Lett. 92 153601
[22] Wakui K, Takahashi H, Furusawa A, Sasaki M 2007 Opt. Express 15 3568
[23] [24] [25] Kim M S, Park E, Knight P L, Jeong H 2005 Phys. Rev. A 71 043805
[26] Suzuki S, Tsujino K, Kannari F, Sasaki M 2006 Opt. Commun. 259 758
[27] [28] Marek P, Kim M S 2008 Phys. Rev. A 78 022309
[29] [30] [31] Marek P, Jeong H, Kim M S 2008 Phys. Rev. A 78 063811
[32] [33] Hu L Y, Fan H Y 2008 J. Opt. Soc. Am. B 25 1955
[34] Hu L Y, Fan H Y 2010 J. Mod. Opt. 57 1344
[35] [36] Hu L Y, Fan H Y 2009 Chin. Phys. B 18 902
[37] [38] [39] Xu X X, Yuan H C, Hu L Y 2010 Acta Phys. Sin. 59 4661 (in Chinese) [徐学翔、 袁洪春、 胡利云 2010 59 4661]
[40] Zhang Z X, Fan H Y 1992 Phys. Lett. A 165 14
[41] [42] Fan H Y, Jiang N Q 2010 Chin. Phys. Lett. 27 044206
[43] [44] [45] Xia Y J, Wang G H, Du S J 2007 Acta Phys. Sin. 56 4331 (in Chinese) [夏云杰、 王光辉、 杜少将 2007 56 4331]
[46] [47] Zhang D Y, Guo P, Gao F 2007 Acta Phys. Sin. 56 1906 (in Chinese) [张登玉、 郭 萍、 高 峰 2007 56 1906]
[48] Fan H Y, Linde V J 1989 J. Phys. A 24 2529
[49] [50] Fan H Y 1997 Representation and Transformation Theory in Quantum Mechanics (Shanghai: Shanghai Science and Technolgy Press) (in Chinese)[范洪义 1977 量子力学表象与变换论 (上海: 上海科学技术出版社)]
[51] -
[1] Dirac P A M 1958 The Principles of Quantum Mechanics (Oxford: Oxford University Press)
[2] Schrodinger E 1935 Naturwiss 23 807
[3] [4] [5] Yang B J 2007 Foundation of Quantum Communication (Beijing: Beijing University of Post and Telecommunications Press) (in Chinese) [杨伯君 2007 量子通信基础 (北京: 北京邮电大学出版社)]
[6] Yurke B, Stoler D 1986 Phys. Rev. Lett. 57 13
[7] [8] Gerry C C 1999 Phys. Rev. A 59 4095
[9] [10] Dakna M, Anhut T, Opatrny T, Knoll L, Welsch D C 1997 Phys. Rev. A 55 3184
[11] [12] [13] Dakna M, Clausen J, Knoll L, Welsch D C 1999 Phys. Rev. A 59 1658
[14] [15] Jeong H 2005 Phys. Rev. A 72 034305
[16] Lund A P, Jeong H, Ralph T C, Kim M S 2004 Phys. Rev. A 70 R020101
[17] [18] Jeong H, Lund A P, Ralph T C 2005 Phys. Rev. A 72 013801
[19] [20] [21] Wenger J, Tualle-Brouri R, Grangier P 2004 Phys. Rev. Lett. 92 153601
[22] Wakui K, Takahashi H, Furusawa A, Sasaki M 2007 Opt. Express 15 3568
[23] [24] [25] Kim M S, Park E, Knight P L, Jeong H 2005 Phys. Rev. A 71 043805
[26] Suzuki S, Tsujino K, Kannari F, Sasaki M 2006 Opt. Commun. 259 758
[27] [28] Marek P, Kim M S 2008 Phys. Rev. A 78 022309
[29] [30] [31] Marek P, Jeong H, Kim M S 2008 Phys. Rev. A 78 063811
[32] [33] Hu L Y, Fan H Y 2008 J. Opt. Soc. Am. B 25 1955
[34] Hu L Y, Fan H Y 2010 J. Mod. Opt. 57 1344
[35] [36] Hu L Y, Fan H Y 2009 Chin. Phys. B 18 902
[37] [38] [39] Xu X X, Yuan H C, Hu L Y 2010 Acta Phys. Sin. 59 4661 (in Chinese) [徐学翔、 袁洪春、 胡利云 2010 59 4661]
[40] Zhang Z X, Fan H Y 1992 Phys. Lett. A 165 14
[41] [42] Fan H Y, Jiang N Q 2010 Chin. Phys. Lett. 27 044206
[43] [44] [45] Xia Y J, Wang G H, Du S J 2007 Acta Phys. Sin. 56 4331 (in Chinese) [夏云杰、 王光辉、 杜少将 2007 56 4331]
[46] [47] Zhang D Y, Guo P, Gao F 2007 Acta Phys. Sin. 56 1906 (in Chinese) [张登玉、 郭 萍、 高 峰 2007 56 1906]
[48] Fan H Y, Linde V J 1989 J. Phys. A 24 2529
[49] [50] Fan H Y 1997 Representation and Transformation Theory in Quantum Mechanics (Shanghai: Shanghai Science and Technolgy Press) (in Chinese)[范洪义 1977 量子力学表象与变换论 (上海: 上海科学技术出版社)]
[51]
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