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Using Josephson charge qubits system to realize the transfer of a special kind of quantum state

Wu Shi-Hai Hu Ming-Liang Li Ji Xi Xiao-Qiang

Using Josephson charge qubits system to realize the transfer of a special kind of quantum state

Wu Shi-Hai, Hu Ming-Liang, Li Ji, Xi Xiao-Qiang
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  • A type of Josephson charge qubit circuit is constructed in this paper, and properties of four-qubit quantum state transfer through this system is also investigated. By modulating the external magnetic flux, we show that ideal transfer of an excited state 1〉 from the first qubit to the fourth qubit can be realized for both homogeneous and inhomogeneous transmission channels. Moreover, the average fidelity of state transfer across this system is also analyzed, the result revealed that it cannot be used to transfer an arbitrary quantum state.
    • Funds:
    [1]

    Marcikic I, de Riedmatten H, Tittel W, Zbinden H, Gisin N 2003 Nature 421 509

    [2]

    Yang X, Tong Z Y, Kuang L M 2008 Acta Phys. Sin. 57 1689 (in Chinese) [杨 雄、童朝阳、匡乐满 2008 物理学报 57 1689]

    [3]

    Tian L, Rabl P, Blatt R, Zoller P 2004 Phys. Rev. Lett. 92 247902

    [4]

    Shi Z G, Chen X W, Zhu X X, Song K H 2009 Chin. Phys. B 18 0910

    [5]

    Bose S 2003 Phys. Rev. Lett. 91 207901

    [6]

    Christandl M, Datta N, Ekert A, Landahl A J 2004 Phys. Rev. Lett. 92 187902

    [7]

    Burgarth D, Bose S 2005 Phys. Rev. A 71 052315

    [8]

    Yan X B, Wang S J 2006 Acta Phys. Sin. 55 1591 (in Chinese) [严晓波、王顺金 2006 物理学报 55 1591]

    [9]

    Xi X Q, Gong J B, Zhang T, Yue R H, Liu W M 2008 Eur. Phys. J. D 50 193

    [10]

    Hu M L, Lian H L 2009 Eur. Phys. J. D 55 711

    [11]

    Hu M L, Xi X Q 2008 Acta Phys. Sin. 57 3319 (in Chinese) [胡明亮、惠小强 2008 物理学报 57 3319]

    [12]

    Yin J W, Xiao J L, Yu Y F, Wang Z W 2008 Acta Phys. Sin. 57 2695 (in Chinese) [尹辑文、肖景林、于毅夫、王子武 2008 物理学报 57 2695]

    [13]

    DiVincenzo D P 1995 Science 270 255

    [14]

    Nakamura Y, Pashkin Y A, Tsai J S 1999 Nature 398 786

    [15]

    Liang B L, Wang J S, Meng X G, Su J 2010 Chin. Phys. B 19 010315

    [16]

    Mooij J E, Orlando T P, Levitov L, Caspar H W, Lloyd S 1999 Science 285 1036

    [17]

    Orlando T P, Mooij J E, Tian L, Caspar H W, Levitov L S, Lloyd S, Mazo J J 1999 Phys. Rev. B 60 15398

    [18]

    Martinis J M, Nam S, Aumentado J, Urbina C 2002 Phys. Rev. Lett. 89 117901

    [19]

    Yu Y, Han S, Chu X, Chu S I, Wang Z 2002 Science 296 889

    [20]

    Romito A, Fazio R, Bruder C 2005 Phys. Rev. B 71 100501

    [21]

    Plastina F, Falci G 2003 Phys. Rev. B 67 224514

    [22]

    Lyakhov A, Bruder C 2005 New J. Phys. 7 181

    [23]

    Matters M, Elion W J, Mooij J E 1995 Phys. Rev. Lett. 75 721

    [24]

    Bouchiat V, Vion D, Joyez P, Esteve D, Devoret M H 1998 Phys. Scripta 76 165

    [25]

    Makhlin Y, Schn G, Shnirman A 1999 Nature 398 305

    [26]

    Pashkin Y A, Yamamoto T, Astafiev O, Nakamura Y, Averin D V, Tsai J S 2003 Nature 421 823

    [27]

    Fazio R, Massimo Palma G, Siewert J 1999 Phys. Rev. Lett. 83 5385

    [28]

    Nakamura Y, Pashkin Y A, Yamamoto T, Tsai J S 2002 Phys. Rev. Lett. 88 047901

    [29]

    You J Q, Tsai J S, Franco N 2002 Phys. Rev. Lett. 89 197902

    [30]

    Pashkin Y A, Astafiev O, Yamamoto T, Nakamura Y, Tsai J S 2009 Quantum Inf. Process. 8 55

    [31]

    Li D C, Zheng X H, Dong P, Cao Z L 2008 Commun. Theor. Phys. 49 1195

    [32]

    You J Q, Lam C H, Zheng H Z 2001 Phys. Rev. B 63 180501(R)

    [33]

    Makhlin Y, Sch n G, Shnirman A 2001 Rev. Mod. Phys. 73 357

    [34]

    Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D, Devoret M H 2002 Science 296 886

  • [1]

    Marcikic I, de Riedmatten H, Tittel W, Zbinden H, Gisin N 2003 Nature 421 509

    [2]

    Yang X, Tong Z Y, Kuang L M 2008 Acta Phys. Sin. 57 1689 (in Chinese) [杨 雄、童朝阳、匡乐满 2008 物理学报 57 1689]

    [3]

    Tian L, Rabl P, Blatt R, Zoller P 2004 Phys. Rev. Lett. 92 247902

    [4]

    Shi Z G, Chen X W, Zhu X X, Song K H 2009 Chin. Phys. B 18 0910

    [5]

    Bose S 2003 Phys. Rev. Lett. 91 207901

    [6]

    Christandl M, Datta N, Ekert A, Landahl A J 2004 Phys. Rev. Lett. 92 187902

    [7]

    Burgarth D, Bose S 2005 Phys. Rev. A 71 052315

    [8]

    Yan X B, Wang S J 2006 Acta Phys. Sin. 55 1591 (in Chinese) [严晓波、王顺金 2006 物理学报 55 1591]

    [9]

    Xi X Q, Gong J B, Zhang T, Yue R H, Liu W M 2008 Eur. Phys. J. D 50 193

    [10]

    Hu M L, Lian H L 2009 Eur. Phys. J. D 55 711

    [11]

    Hu M L, Xi X Q 2008 Acta Phys. Sin. 57 3319 (in Chinese) [胡明亮、惠小强 2008 物理学报 57 3319]

    [12]

    Yin J W, Xiao J L, Yu Y F, Wang Z W 2008 Acta Phys. Sin. 57 2695 (in Chinese) [尹辑文、肖景林、于毅夫、王子武 2008 物理学报 57 2695]

    [13]

    DiVincenzo D P 1995 Science 270 255

    [14]

    Nakamura Y, Pashkin Y A, Tsai J S 1999 Nature 398 786

    [15]

    Liang B L, Wang J S, Meng X G, Su J 2010 Chin. Phys. B 19 010315

    [16]

    Mooij J E, Orlando T P, Levitov L, Caspar H W, Lloyd S 1999 Science 285 1036

    [17]

    Orlando T P, Mooij J E, Tian L, Caspar H W, Levitov L S, Lloyd S, Mazo J J 1999 Phys. Rev. B 60 15398

    [18]

    Martinis J M, Nam S, Aumentado J, Urbina C 2002 Phys. Rev. Lett. 89 117901

    [19]

    Yu Y, Han S, Chu X, Chu S I, Wang Z 2002 Science 296 889

    [20]

    Romito A, Fazio R, Bruder C 2005 Phys. Rev. B 71 100501

    [21]

    Plastina F, Falci G 2003 Phys. Rev. B 67 224514

    [22]

    Lyakhov A, Bruder C 2005 New J. Phys. 7 181

    [23]

    Matters M, Elion W J, Mooij J E 1995 Phys. Rev. Lett. 75 721

    [24]

    Bouchiat V, Vion D, Joyez P, Esteve D, Devoret M H 1998 Phys. Scripta 76 165

    [25]

    Makhlin Y, Schn G, Shnirman A 1999 Nature 398 305

    [26]

    Pashkin Y A, Yamamoto T, Astafiev O, Nakamura Y, Averin D V, Tsai J S 2003 Nature 421 823

    [27]

    Fazio R, Massimo Palma G, Siewert J 1999 Phys. Rev. Lett. 83 5385

    [28]

    Nakamura Y, Pashkin Y A, Yamamoto T, Tsai J S 2002 Phys. Rev. Lett. 88 047901

    [29]

    You J Q, Tsai J S, Franco N 2002 Phys. Rev. Lett. 89 197902

    [30]

    Pashkin Y A, Astafiev O, Yamamoto T, Nakamura Y, Tsai J S 2009 Quantum Inf. Process. 8 55

    [31]

    Li D C, Zheng X H, Dong P, Cao Z L 2008 Commun. Theor. Phys. 49 1195

    [32]

    You J Q, Lam C H, Zheng H Z 2001 Phys. Rev. B 63 180501(R)

    [33]

    Makhlin Y, Sch n G, Shnirman A 2001 Rev. Mod. Phys. 73 357

    [34]

    Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D, Devoret M H 2002 Science 296 886

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  • Received Date:  19 March 2010
  • Accepted Date:  12 April 2010
  • Published Online:  15 January 2011

Using Josephson charge qubits system to realize the transfer of a special kind of quantum state

  • 1. School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710061, China

Abstract: A type of Josephson charge qubit circuit is constructed in this paper, and properties of four-qubit quantum state transfer through this system is also investigated. By modulating the external magnetic flux, we show that ideal transfer of an excited state 1〉 from the first qubit to the fourth qubit can be realized for both homogeneous and inhomogeneous transmission channels. Moreover, the average fidelity of state transfer across this system is also analyzed, the result revealed that it cannot be used to transfer an arbitrary quantum state.

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