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在小波变换量子力学机制的启发下, 通过采用Fock空间里双模坐标本征态改写经典Ridgelet变换, 定义了量子光学态的Ridgelet变换. 然后利用IWOP技术给出不对称积分算符的显式, 并推导出了两个有用的双模算符正规乘积公式. 在此基础上, 通过选取双模“墨西哥帽”母小波函数, 分析了相干态、特殊压缩相干态、中介纠缠态表象的Ridgelet变换.
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关键词:
- IWOP技术 /
- Ridgelet变换 /
- 相干态
[1] Candes E J 1999 Ridgelets and Their Derivatives Representation of Images with Edges Department of Statistics, Stanford University, Saint-Malo Proceedings and Larry L. Schumaker(eds), p1-10.
[2] Starck J L, Candés E J, Donoho D L 2002 Trans. Image Processin 11 670
[3] Starck J L, Donoho D L, Candes E J 2003 Astronomy & Astrophysics 398 785
[4] Chuang I L, Nielsen M A 2000 Quantum computation and quantum information (Cambridge University Press, Cambridge)
[5] Fan H Y, Lu H L 2006 Optics Commun 258 51
[6] Fan H Y, Lu H L 2006 Opt. Lett. 31 407
[7] Song J, Fan H Y 2010 Chin. Phys. Lett. 27 024210
[8] Fan H Y, Lu H L 2007 Opt. Lett. 32 554
[9] Fan H Y, Liu S G 2007 Opt. Lett. 32 1507
[10] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 147
[11] Song J, Xu Y J, Fan H Y 2011 Acta Phys. Sin. 60 084208 (in Chinese) [宋军, 许业军, 范洪义 2011 物理学报 60 084208]
[12] Yu H J, Du J M, Zhang X L 2012 Acta Phys. Sin. 61 164205 (in Chinese) [余海军, 杜建明, 张秀兰 2012 物理学报 61 164205]
[13] Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[14] Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
[15] Fan H Y 2003 Journal of Optics B: Quant. & Semi. Opt. 5 147-R163
[16] Fan H Y 1990 Phys. Rev. A 41 1526
-
[1] Candes E J 1999 Ridgelets and Their Derivatives Representation of Images with Edges Department of Statistics, Stanford University, Saint-Malo Proceedings and Larry L. Schumaker(eds), p1-10.
[2] Starck J L, Candés E J, Donoho D L 2002 Trans. Image Processin 11 670
[3] Starck J L, Donoho D L, Candes E J 2003 Astronomy & Astrophysics 398 785
[4] Chuang I L, Nielsen M A 2000 Quantum computation and quantum information (Cambridge University Press, Cambridge)
[5] Fan H Y, Lu H L 2006 Optics Commun 258 51
[6] Fan H Y, Lu H L 2006 Opt. Lett. 31 407
[7] Song J, Fan H Y 2010 Chin. Phys. Lett. 27 024210
[8] Fan H Y, Lu H L 2007 Opt. Lett. 32 554
[9] Fan H Y, Liu S G 2007 Opt. Lett. 32 1507
[10] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 147
[11] Song J, Xu Y J, Fan H Y 2011 Acta Phys. Sin. 60 084208 (in Chinese) [宋军, 许业军, 范洪义 2011 物理学报 60 084208]
[12] Yu H J, Du J M, Zhang X L 2012 Acta Phys. Sin. 61 164205 (in Chinese) [余海军, 杜建明, 张秀兰 2012 物理学报 61 164205]
[13] Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[14] Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
[15] Fan H Y 2003 Journal of Optics B: Quant. & Semi. Opt. 5 147-R163
[16] Fan H Y 1990 Phys. Rev. A 41 1526
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