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An algorithm to generate unitary transformation (UT) of two orthogonal base kets is proposed in this paper. Certain requirements that UT must meet are as follows: four typical base kets in the first category can be transformed into states with the last qubit |0>, and the other four atypical base kets can be transformed into states with the last qubit |1>. This UT is applied to quantum data compression, with a result that the fidelity of the compression is 0.942. This method provides an important basis for realizing quantum compression and decompression. And it can be an important reference of other UT generation method which must fulfill some requirements.
[1] Li S, Ma H Q, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安, 翟光杰 2013 62 084214]
[2] Zhou N R, Zeng B Y, Wang L J, Gong L H 2010 Acta Phys. Sin. 59 2193 (in Chinese) [周南润, 曾宾阳, 王立军, 龚黎华 2010 59 2193]
[3] Zhou N R, Zeng G H, Gong L H, Liu S Q 2007 Acta Phys. Sin. 56 5066 (in Chinese) [周南润, 曾贵华, 龚黎华, 刘三秋 2007 56 5066]
[4] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Zhao S M, Zheng B Y 2012 Chin. Phys. B 21 030307
[5] Zhang C L, Wang C, Cao C, Zhang R 2012 Chin. Phys. Lett. 29 070305
[6] Yu X T, Xu J, Zhang Z C 2012 Acta Phys. Sin. 61 220303 (in Chinese) [余旭涛, 徐进, 张在琛 2012 61 220303]
[7] Zhou X Q, Wu Y W 2012 Acta Phys. Sin. 61 170303 (in Chinese) [周小清, 邬云文 2012 61 170303]
[8] Zhou X Q, Wu Y W, Zhao H 2011 Acta Phys. Sin. 60 040304 (in Chinese) [周小清, 邬云文, 赵晗 2011 60 040304]
[9] Wang M Y, Yan F L 2011 Chin. Phys. B 20 120309
[10] Guo Yu, Luo X B 2012 Chin. Phys. Lett. 29 060303
[11] Zhu W, Nie M 2013 Acta Phys. Sin. 62 130304 (in Chinese) [朱伟, 聂敏 2013 62 130304]
[12] Schumacher B 1995 Phys. Rev. A 51 2738
[13] Cleve R, Divicenzo D 1996 Phys. Rev. A 54 2636
[14] Jozsa R, Horodecki M, Horodecki P, Horodecki R 1998 Phys. Rev. Lett. 81 1714
[15] Ahn C, Doherty A C, Hayden P, Winter A J 2006 IEEE Trans. Inform. Theory 52 4349
[16] Avis D, Hayden P, Savov I 2008 Proceedings of 2008 Sencond International Conference on Quantum Nano and Micro Technologies Sainte Luce, Martinique, February 10-15, 2008 p90
[17] Hayashi M 2002 Phys. Rev. A 66 032321
[18] Hayashi M, Matsumoto K 2002 Phys. Rev. A 66 022311
[19] Chuang I L, Modha D S 2000 IEEE Trans. Inform. Theory 46 1104
[20] Desuvire E 2009 Classical and Quantum Information Theory (New York: Cambridge University Press) p457
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[1] Li S, Ma H Q, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安, 翟光杰 2013 62 084214]
[2] Zhou N R, Zeng B Y, Wang L J, Gong L H 2010 Acta Phys. Sin. 59 2193 (in Chinese) [周南润, 曾宾阳, 王立军, 龚黎华 2010 59 2193]
[3] Zhou N R, Zeng G H, Gong L H, Liu S Q 2007 Acta Phys. Sin. 56 5066 (in Chinese) [周南润, 曾贵华, 龚黎华, 刘三秋 2007 56 5066]
[4] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Zhao S M, Zheng B Y 2012 Chin. Phys. B 21 030307
[5] Zhang C L, Wang C, Cao C, Zhang R 2012 Chin. Phys. Lett. 29 070305
[6] Yu X T, Xu J, Zhang Z C 2012 Acta Phys. Sin. 61 220303 (in Chinese) [余旭涛, 徐进, 张在琛 2012 61 220303]
[7] Zhou X Q, Wu Y W 2012 Acta Phys. Sin. 61 170303 (in Chinese) [周小清, 邬云文 2012 61 170303]
[8] Zhou X Q, Wu Y W, Zhao H 2011 Acta Phys. Sin. 60 040304 (in Chinese) [周小清, 邬云文, 赵晗 2011 60 040304]
[9] Wang M Y, Yan F L 2011 Chin. Phys. B 20 120309
[10] Guo Yu, Luo X B 2012 Chin. Phys. Lett. 29 060303
[11] Zhu W, Nie M 2013 Acta Phys. Sin. 62 130304 (in Chinese) [朱伟, 聂敏 2013 62 130304]
[12] Schumacher B 1995 Phys. Rev. A 51 2738
[13] Cleve R, Divicenzo D 1996 Phys. Rev. A 54 2636
[14] Jozsa R, Horodecki M, Horodecki P, Horodecki R 1998 Phys. Rev. Lett. 81 1714
[15] Ahn C, Doherty A C, Hayden P, Winter A J 2006 IEEE Trans. Inform. Theory 52 4349
[16] Avis D, Hayden P, Savov I 2008 Proceedings of 2008 Sencond International Conference on Quantum Nano and Micro Technologies Sainte Luce, Martinique, February 10-15, 2008 p90
[17] Hayashi M 2002 Phys. Rev. A 66 032321
[18] Hayashi M, Matsumoto K 2002 Phys. Rev. A 66 022311
[19] Chuang I L, Modha D S 2000 IEEE Trans. Inform. Theory 46 1104
[20] Desuvire E 2009 Classical and Quantum Information Theory (New York: Cambridge University Press) p457
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