| 研究生: |
蔡善宇 Cai, Shan-Yu |
|---|---|
| 論文名稱: |
單光子同調態的量子斷層掃描 Quantum tomography of single photon coherent states |
| 指導教授: |
陳泳帆
Chen, Yong-Fan |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 物理學系 Department of Physics |
| 論文出版年: | 2019 |
| 畢業學年度: | 107 |
| 語文別: | 中文 |
| 論文頁數: | 65 |
| 中文關鍵詞: | 量子態斷層掃描 、維格納函數 、平衡零差偵測 |
| 外文關鍵詞: | Quantum state tomography, Wigner function, Balanced homodyne detection |
| 相關次數: | 點閱:77 下載:7 |
| 分享至: |
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在本論文中,我們使用平衡零差檢測(balanced homodyne detection)來執行單光子同調態的量子斷層掃描。我們分別使用雷登反轉換(Radon inverse transformation)和最大似然法(maximum likelihood estimation)來獲得光子的維格納(Wigner) 函數。
在當前實驗系統下,我們利用最大似然法可以得到最小半高半徑為0.73 的維格納(Wigner) 函數,與理論值的差異只有3.25%。
In this thesis, we use the balanced homodyne detection to perform a quantum tomography of single-photon coherent states. We respectively use the Radon inverse transformation and the maximum likelihood estimation to obtain the Wigner function of the photon. Under the optimization of the current experimental system, we obtain a Wigner function with a minimum half-height radius of 0.73 by using the maximum likelihood estimation. Only 3.25% of the difference from the theoretical value.
[1] G. L. Abbas, V. W. S. Chan, and T. K. Yee. Opt. Lett., 8(8):419–421, 1983.
[2] K. Banaszek, G. M. D’Ariano, M. G. A. Paris, and M. F. Sacchi. Phys. Rev. A, 61:010304, 1999.
[3] Konrad Banaszek. Phys. Rev. A, 57:5013–5015, 1998.
[4] Konrad Banaszek. Acta Phys. Slov., 48:185–190, 1998.
[5] J. Bertrand and P. Bertrand. Foundations of Physics, 17(4):397–405, 1987.
[6] G. Breitenbach, T. Müller, S. F. Pereira, J.-Ph. Poizat, S. Schiller, and J. Mlynek. J. Opt. Soc. Am. B, 12(11):2304–2309, 1995.
[7] Gerd Breitenbach. PhD thesis, Universität Konstanz, Konstanz, 1998.
[8] G. M. D’Ariano, U. Leonhardt, and H. Paul. Phys. Rev. A, 52:R1801–R1804, 1995.
[9] A. P. Dempster, N. M. Laird, and D. B. Rubin. Journal of the Royal Statistical Society: Series B (Methodological), 39(1):1–22.
[10] Jaromír Fiurášek. Phys. Rev. A, 64:024102, 2001.
[11] Z. Hradil. Phys. Rev. A, 55:R1561–R1564, 1997.
[12] Z. Hradil, J. Summhammer, and H. Rauch. Physics Letters A, 261(1):20 – 24, 1999.
[13] J. Řeháček, Z. Hradil, and M. Ježek. Phys. Rev. A, 63:040303, 2001.
[14] U. Leonhardt. Essential Quantum Optics: From Quantum Measurements to Black Holes. Cambridge University Press, 2010.
[15] U. Leonhardt, P.L. Knight, and A. Miller. Measuring the Quantum State of Light. Cambridge
Studies in Modern Optics. Cambridge University Press, 1997.
[16] U Leonhardt, M Munroe, T Kiss, Th Richter, and M.G Raymer. Optics Communications,127(1):144 – 160, 1996.
[17] U. Leonhardt and H. Paul. Progress in Quantum Electronics, 19(2):89 – 130, 1995.
[18] U. Leonhardt, H. Paul, and G. M. D’Ariano. Phys. Rev. A, 52:4899–4907, 1995.
[19] A I Lvovsky. Journal of Optics B: Quantum and Semiclassical Optics, 6(6):S556–S559,2004.
[20] A. I. Lvovsky and J. Mlynek. Phys. Rev. Lett., 88:250401, 2002.
[21] A. I. Lvovsky and M. G. Raymer. Rev. Mod. Phys., 81:299–332, 2009.
[22] D. Mogilevtsev, Z. Hradil, and J. Peřina. Journal of Modern Optics, 44(11-12):2261–2269, 1997.
[23] Alexei Ourjoumtsev, Rosa Tualle-Brouri, and Philippe Grangier. Phys. Rev. Lett., 96:213601, 2006.
[24] J. RADON. Ber. Verh, Sachs Akad Wiss., 69:262–277, 1917.
[25] M. G. Raymer. Contemporary Physics, 38(5):343–355, 1997.
[26] D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani. Phys. Rev. Lett., 70:1244–1247, 1993.
[27] Y. Vardi and D. Lee. Journal of the Royal Statistical Society: Series B (Methodological), 55(3):569–598.
[28] Werner Vogel and Jens Grabow. Phys. Rev. A, 47:4227–4235, 1993.
[29] E. P. Wigner. pages 110–120. Springer Berlin Heidelberg, Berlin, Heidelberg, 1997.
[30] A Zavatta, S Viciani, and M Bellini. Laser Physics Letters, 3(1):3–16, 2006.