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Remote state preparation via photonic Faraday rotation in low-Q cavities

Yang Zhi-Gang Wu Ting-Ting Liu Jin-Ming

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Remote state preparation via photonic Faraday rotation in low-Q cavities

Yang Zhi-Gang, Wu Ting-Ting, Liu Jin-Ming
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  • Based on the input-output relation in low-Q cavities, we propose a feasible scheme to prepare remotely a single-atom state via photonic Faraday rotation, and then the scheme is generalized to the case of remote preparation of a two-atom entangled state. Our results show that when the coefficients of the initial atomic state to be prepared are real, both remote preparation of the single-atom state and that of the two-atom entangled state can be achieved deterministically by selecting appropriate parameters of the systems for the interactions among the atom, polarized single-photon pulse, and cavity field. Compared with the existing schemes for remote preparation of atomic states, in our scheme photons are used as flying qubits to transmit quantum information, which is suitable indeed to achieve a long-distance atomic state preparation in principle. Due to the fact that the information of atomic state is encoded in two degenerate ground-state levels of a -type three-level atom confined in a unilateral dissipative cavity, and that the atoms are only virtually excited, our schemes are insensitive to both cavity decay and atomic spontaneous emission. Besides, the two schemes we proposed do not need two- or multi-particle orthogonal measurements, only product-state measurements are involved, as well as they work in low-Q regime and do not require a strong coupling condition between the atoms and the optical cavities, which greatly reduce the experimental difficulty.
      Corresponding author: Liu Jin-Ming, jmliu@phy.ecnu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11174081, 11134003) and the National Basic Research Program of China (Grant Nos. 2011CB921602, 2012CB821302).
    [1]

    Bennett C H, Brassard G, Crpeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895

    [2]

    Lo H K 2000 Phys. Rev.A 62 012313

    [3]

    Pati A K 2000 Phys. Rev. A 63 014302

    [4]

    Bennett C H, DiVincenzo D P, Shor P W, Smolin J A, Terhal B M, Wootters W K 2001 Phys. Rev. Lett. 87 077902

    [5]

    Zeng B, Zhang P 2002 Phys. Rev. A 65 022316

    [6]

    Berry D W, Sanders B C 2003 Phys. Rev. Lett. 90 057901

    [7]

    Ye M Y, Zhang Y S, Guo G C 2004 Phys. Rev.A 69 022310

    [8]

    Kurucz Z, Adam P, Kis Z, Janszky J 2005 Phys. Rev. A 72 052315

    [9]

    Yu C S, Song H S, Wang Y H 2006 Phys. Rev. A 73 022340

    [10]

    Xia Y, Song J, Song H S 2007 Opt. Commun. 277 219

    [11]

    Yan F L, Zhang G H 2008 Int. J. Quantum Inf. 6 485

    [12]

    Liu J M, Feng X L, Oh C H 2009 EPL 87 30006

    [13]

    Dai H Y, Zhang M, Chen J M, Li C Z 2011 Chin. Phys. B 20 050310

    [14]

    Solis-Prosser M A, Neves L 2011 Phys. Rev.A 84 012330

    [15]

    An N B, Bich C T, Don N V 2011 J. Phys. B: At. Mol. Opt. Phys. 44 135506

    [16]

    Chen Z F, Liu J M, Ma L 2014 Chin. Phys.B 23 020312

    [17]

    Ma S Y, Luo M X, Chen X B, Yang Y X 2014 Quantum Inf. Process 13 1951

    [18]

    Hua C Y, Chen Y X 2015 Quantum Inf. Process 14 1069

    [19]

    Peng X H, Zhu X W, Fang X M, Feng M, Liu M L, Gao K L 2003 Phys. Lett.A 306 271

    [20]

    Babichev S A, Brezger B, Lvovsky A I 2004 Phys. Rev. Lett. 92 047903

    [21]

    Rosenfeld W, Berner S, Volz J, Weber M, Weinfurter H 2007 Phys. Rev. Lett. 98 050504

    [22]

    Barreiro J T, Wei T C, Kwiat P G 2010 Phys. Rev. Lett. 105 030407

    [23]

    Wu W, Liu W T, Chen P X, Li C Z 2010 Phys. Rev.A 81 042301

    [24]

    Radmark M, Wiesniak M, Zukowski M, Bourennane M 2013 Phys. Rev. A 88 032304

    [25]

    Davidovich L, Zagury N, Brune M, Raimond J M, Haroche S 1994 Phys. Rev. A 50 895

    [26]

    Moussa M H Y 1996 Phys. Rev. A 54 4661

    [27]

    Zheng S B 2004 Phys. Rev. A 69 064302

    [28]

    Ye L, Guo G C 2004 Phys. Rev. A 70 054303

    [29]

    Cardoso W B, Avelar A T, Baseia B, de Almeida N G 2005 Phys. Rev.A 72 045802

    [30]

    Liu J M, Weng B, Xia Y 2006 J. Opt. Soc. Am. B 23 1499

    [31]

    Bose S, Knight P L, Plenio M B, Vedral V 1999 Phys. Rev. Lett. 83 5158

    [32]

    Zheng S B, Guo G C 2006 Phys. Rev.A 73 032329

    [33]

    Julsgaard B, Kozhekin A, Polzik E S 2001 Nature 413 400

    [34]

    Li Y Q, Steuerman D W, Berezovsky J, Seferos D S, Bazan G C, Awschalom D D 2006 Appl. Phys. Lett. 88 193126

    [35]

    Atatre M, Dreiser J, Badolato A, Imamoglu A 2007 Nat. Phys. 3 101

    [36]

    Chen J J, An J H 2010 Int. J. Quantum Inf. 8 787

    [37]

    Chen J J, An J H, Feng M, Liu G 2010 J. Phys. B: At. Mol. Opt. Phys. 43 095505

    [38]

    Bastos W P, Cardoso W B, Avelar A T, de Almeida N G, Baseia B 2012 Quantum Inf. Process 11 1867

    [39]

    An J H, Feng M, Oh C H 2009 Phys. Rev.A 79 032303

    [40]

    Chen Q, Feng M 2010 Phys. Rev. A 82 052329

    [41]

    Bastos W P, Cardoso W B, Avelar A T, Baseia B 2011 Quantum Inf. Process 10 395

    [42]

    Wang B, Chen Q, Yang W L, Kou S P 2012 Commun. Theor. Phys. 58 225

    [43]

    Pan G Z, Zhang G, Yuan H 2013 Int. J. Theor. Phys. 52 912

    [44]

    Peng Z H, Zou J, Liu X J, Xiao Y J, Kuang L M 2012 Phys. Rev. A 86 034305

    [45]

    Luo M X, Li H R, Wang X J 2014 Eur. Phys. J. D 68 190

    [46]

    Chen X D, Xiao S J, Gu Y J, Lin X M 2010 Acta Phys. Sin. 59 5251 (in Chinese) [陈晓东, 肖邵军, 顾永建, 林秀敏 2010 59 5251]

    [47]

    Cheng L Y, Wang H F, Zhang S, Yeon K W 2013 Chin. Phys. B 22 050306

    [48]

    Sun Q, He J, Ye L 2014 Chin. Phys. B 23 060305

    [49]

    Walls D F, Milburn G J 1994 Quantum Optics (Berlin: Springer-Verlag) p121-135

    [50]

    Duan L M, Kimble H J 2004 Phys. Rev. Lett. 92 127902

    [51]

    Cao C, Wang C, He L Y, Zhang R 2013 Opt. Exp. 21 4093

    [52]

    Sheng Y B, Zhao S Y, Liu J, Zhou L 2014 Quantum Inf. Process 13 881

    [53]

    Zhang Y Q, Jin X R, Zhang S 2005 Chin. Phys. 14 1732

    [54]

    Xu X B, Liu J M 2006 Can. J. Phys. 84 1089

    [55]

    Xia Y, Song J, Song H S 2008 Inter. J. Theor. Phys. 47 3226

  • [1]

    Bennett C H, Brassard G, Crpeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895

    [2]

    Lo H K 2000 Phys. Rev.A 62 012313

    [3]

    Pati A K 2000 Phys. Rev. A 63 014302

    [4]

    Bennett C H, DiVincenzo D P, Shor P W, Smolin J A, Terhal B M, Wootters W K 2001 Phys. Rev. Lett. 87 077902

    [5]

    Zeng B, Zhang P 2002 Phys. Rev. A 65 022316

    [6]

    Berry D W, Sanders B C 2003 Phys. Rev. Lett. 90 057901

    [7]

    Ye M Y, Zhang Y S, Guo G C 2004 Phys. Rev.A 69 022310

    [8]

    Kurucz Z, Adam P, Kis Z, Janszky J 2005 Phys. Rev. A 72 052315

    [9]

    Yu C S, Song H S, Wang Y H 2006 Phys. Rev. A 73 022340

    [10]

    Xia Y, Song J, Song H S 2007 Opt. Commun. 277 219

    [11]

    Yan F L, Zhang G H 2008 Int. J. Quantum Inf. 6 485

    [12]

    Liu J M, Feng X L, Oh C H 2009 EPL 87 30006

    [13]

    Dai H Y, Zhang M, Chen J M, Li C Z 2011 Chin. Phys. B 20 050310

    [14]

    Solis-Prosser M A, Neves L 2011 Phys. Rev.A 84 012330

    [15]

    An N B, Bich C T, Don N V 2011 J. Phys. B: At. Mol. Opt. Phys. 44 135506

    [16]

    Chen Z F, Liu J M, Ma L 2014 Chin. Phys.B 23 020312

    [17]

    Ma S Y, Luo M X, Chen X B, Yang Y X 2014 Quantum Inf. Process 13 1951

    [18]

    Hua C Y, Chen Y X 2015 Quantum Inf. Process 14 1069

    [19]

    Peng X H, Zhu X W, Fang X M, Feng M, Liu M L, Gao K L 2003 Phys. Lett.A 306 271

    [20]

    Babichev S A, Brezger B, Lvovsky A I 2004 Phys. Rev. Lett. 92 047903

    [21]

    Rosenfeld W, Berner S, Volz J, Weber M, Weinfurter H 2007 Phys. Rev. Lett. 98 050504

    [22]

    Barreiro J T, Wei T C, Kwiat P G 2010 Phys. Rev. Lett. 105 030407

    [23]

    Wu W, Liu W T, Chen P X, Li C Z 2010 Phys. Rev.A 81 042301

    [24]

    Radmark M, Wiesniak M, Zukowski M, Bourennane M 2013 Phys. Rev. A 88 032304

    [25]

    Davidovich L, Zagury N, Brune M, Raimond J M, Haroche S 1994 Phys. Rev. A 50 895

    [26]

    Moussa M H Y 1996 Phys. Rev. A 54 4661

    [27]

    Zheng S B 2004 Phys. Rev. A 69 064302

    [28]

    Ye L, Guo G C 2004 Phys. Rev. A 70 054303

    [29]

    Cardoso W B, Avelar A T, Baseia B, de Almeida N G 2005 Phys. Rev.A 72 045802

    [30]

    Liu J M, Weng B, Xia Y 2006 J. Opt. Soc. Am. B 23 1499

    [31]

    Bose S, Knight P L, Plenio M B, Vedral V 1999 Phys. Rev. Lett. 83 5158

    [32]

    Zheng S B, Guo G C 2006 Phys. Rev.A 73 032329

    [33]

    Julsgaard B, Kozhekin A, Polzik E S 2001 Nature 413 400

    [34]

    Li Y Q, Steuerman D W, Berezovsky J, Seferos D S, Bazan G C, Awschalom D D 2006 Appl. Phys. Lett. 88 193126

    [35]

    Atatre M, Dreiser J, Badolato A, Imamoglu A 2007 Nat. Phys. 3 101

    [36]

    Chen J J, An J H 2010 Int. J. Quantum Inf. 8 787

    [37]

    Chen J J, An J H, Feng M, Liu G 2010 J. Phys. B: At. Mol. Opt. Phys. 43 095505

    [38]

    Bastos W P, Cardoso W B, Avelar A T, de Almeida N G, Baseia B 2012 Quantum Inf. Process 11 1867

    [39]

    An J H, Feng M, Oh C H 2009 Phys. Rev.A 79 032303

    [40]

    Chen Q, Feng M 2010 Phys. Rev. A 82 052329

    [41]

    Bastos W P, Cardoso W B, Avelar A T, Baseia B 2011 Quantum Inf. Process 10 395

    [42]

    Wang B, Chen Q, Yang W L, Kou S P 2012 Commun. Theor. Phys. 58 225

    [43]

    Pan G Z, Zhang G, Yuan H 2013 Int. J. Theor. Phys. 52 912

    [44]

    Peng Z H, Zou J, Liu X J, Xiao Y J, Kuang L M 2012 Phys. Rev. A 86 034305

    [45]

    Luo M X, Li H R, Wang X J 2014 Eur. Phys. J. D 68 190

    [46]

    Chen X D, Xiao S J, Gu Y J, Lin X M 2010 Acta Phys. Sin. 59 5251 (in Chinese) [陈晓东, 肖邵军, 顾永建, 林秀敏 2010 59 5251]

    [47]

    Cheng L Y, Wang H F, Zhang S, Yeon K W 2013 Chin. Phys. B 22 050306

    [48]

    Sun Q, He J, Ye L 2014 Chin. Phys. B 23 060305

    [49]

    Walls D F, Milburn G J 1994 Quantum Optics (Berlin: Springer-Verlag) p121-135

    [50]

    Duan L M, Kimble H J 2004 Phys. Rev. Lett. 92 127902

    [51]

    Cao C, Wang C, He L Y, Zhang R 2013 Opt. Exp. 21 4093

    [52]

    Sheng Y B, Zhao S Y, Liu J, Zhou L 2014 Quantum Inf. Process 13 881

    [53]

    Zhang Y Q, Jin X R, Zhang S 2005 Chin. Phys. 14 1732

    [54]

    Xu X B, Liu J M 2006 Can. J. Phys. 84 1089

    [55]

    Xia Y, Song J, Song H S 2008 Inter. J. Theor. Phys. 47 3226

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Publishing process
  • Received Date:  03 July 2015
  • Accepted Date:  19 October 2015
  • Published Online:  20 January 2016

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