The European Physical Journal D

, Volume 61, Issue 2, pp 499–505 | Cite as

Implementing multi-qubit entanglement of two-level systems inside a superconducting phase qubit

Article

Abstract.

The interaction between a superconducting phase qubit and the two-level systems located inside the Josephson tunnel barrier is described by the XY model, which is naturally used to implement the i-SWAP gate. With this gate, we propose a scheme to efficiently generate multi-qubit entangled states of such two-level systems, including multipartite W state and cluster states. In particular, it is found that, with the help of the phase qubit, the entanglement witness can be used to efficiently detect the produced multi-qubit entangled states.

Keywords

Entangle State Cluster State Bias Current Entanglement Witness Phase Qubit 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Rev. Mod. Phys. 81, 865 (2009) CrossRefMathSciNetADSMATHGoogle Scholar
  2. 2.
    H.J. Briegel, D.E. Browne, W. Dür, R. Raussendorf, M. Van den Nest, Nature Phys. 5, 19 (2009) CrossRefGoogle Scholar
  3. 3.
    P.W. Shor, Phys. Rev. A 52, R2493 (1995) CrossRefADSGoogle Scholar
  4. 4.
    A.M. Steane, Phys. Rev. Lett. 77, 793 (1996) MATHCrossRefMathSciNetADSGoogle Scholar
  5. 5.
    W. Dür, G. Vidal, J.I. Cirac, Phys. Rev. A 62, 062314 (2000) CrossRefMathSciNetADSGoogle Scholar
  6. 6.
    C.F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P.T. Lancaster, C. Becher, F. Schmidt-Kaler, R. Blatt, Science 304, 1478 (2004) CrossRefADSGoogle Scholar
  7. 7.
    D.M. Greenberger, M. Horne, A. Zeilinger, in Bell’s Theorem, Quantum theory, and conceptions of the universe, edited by M. Kafatos (Kluwer Academic, Dordrecht, 1989) Google Scholar
  8. 8.
    J.Q. You, X.B. Wang, T. Tanamoto, F. Nori, Phys. Rev. A 75, 052319 (2007) CrossRefADSGoogle Scholar
  9. 9.
    H. Häffner, W. Hänsel, C.F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Kärber, U.D. Rapol, M. Riebe, P.O. Schmidt, C. Becher, O. Gühne, W. Dür, R. Blatt, Nature 438, 643 (2005) CrossRefADSGoogle Scholar
  10. 10.
    D. Leibfried, E. Knill, S. Seidelin, J. Britton, R.B. Blakestad, J. Chiaverini, D.B. Hume, W.M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, D.J. Wineland, Nature 438, 639 (2005) CrossRefADSGoogle Scholar
  11. 11.
    C.Y. Lu, X.Q. Zhou, O. Gühne, W.B. Gao, J. Zhang, Z.S. Yuan, A. Goebel, T. Yang, J.W. Pan, Nature Phys. 3, 91 (2007) CrossRefADSGoogle Scholar
  12. 12.
    M. Steffen, M. Ansmann, R.C. Bialczak, N. Katz, E. Lucero, R. McDermott, M. Neeley, E.M. Weig, A.N. Cleland, J.M. Martinis, Science 313, 1423 (2006) CrossRefMathSciNetADSGoogle Scholar
  13. 13.
    A.J. Berkley, H. Xu, R.C. Ramos, M.A. Gubrud, F.W. Strauch, P.R. Johnson, J.R. Anderson, A.J. Dragt, C.J. Lobb, F.C. Wellstood, Science 300, 1548 (2003) CrossRefADSGoogle Scholar
  14. 14.
    M.A. Sillanpää, J.I. Park, R.W. Simmonds, Nature 449, 438 (2007) CrossRefADSGoogle Scholar
  15. 15.
    J.H. Plantenberg, P.C. de Groot, C. Harmans, J.E. Mooij, Nature 447, 836 (2007) CrossRefADSGoogle Scholar
  16. 16.
    M. Grajcar, A. Izmalkov, S.H.W. van der Ploeg, S. Linzen, T. Plecenik, T. Wagner, U. Hübner, E. Il’ichev, H.G. Meyer, A.Y. Smirnov, P.J. Love, A. Maassen van den Brink, M.H.S. Amin, S. Uchaikin, A.M. Zagoskin, Phys. Rev. Lett. 96, 047006 (2006) CrossRefADSGoogle Scholar
  17. 17.
    Y. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001) CrossRefADSGoogle Scholar
  18. 18.
    J.Q. You, F. Nori, Phys. Today 58, 42 (2005) CrossRefGoogle Scholar
  19. 19.
    L.F. Wei, Y.X. Liu, F. Nori, Phys. Rev. B 71, 134506 (2005) CrossRefADSGoogle Scholar
  20. 20.
    L.F. Wei, J.R. Johansson, L.X. Cen, S. Ashhab, F. Nori, Phys. Rev. Lett. 100, 113601 (2008) CrossRefADSGoogle Scholar
  21. 21.
    R.W. Simmonds, K.M. Lang, D.A. Hite, S. Nam, D.P. Pappas, J.M. Martinis, Phys. Rev. Lett. 93, 077003 (2004) CrossRefADSGoogle Scholar
  22. 22.
    K.B. Cooper, M. Steffen, R. McDermott, R.W. Simmonds, S. Oh, D.A. Hite, D.P. Pappas, J.M. Martinis, Phys. Rev. Lett. 93, 180401 (2004) CrossRefADSGoogle Scholar
  23. 23.
    J.M. Martinis, K.B. Cooper, R. McDermott, M. Steffen, M. Ansmann, K.D. Osborn, K. Cicak, S. Oh, D.P. Pappas, R.W. Simmonds, C.C. Yu, Phys. Rev. Lett. 95, 210503 (2005) CrossRefADSGoogle Scholar
  24. 24.
    L. Tian, R.W. Simmonds, Phys. Rev. Lett. 99, 137002 (2007) CrossRefADSGoogle Scholar
  25. 25.
    M. Constantin, C.C. Yu, Phys. Rev. Lett. 99, 207001 (2007) CrossRefADSGoogle Scholar
  26. 26.
    S. Ashhab, J.R. Johansson, F. Nori, Physica C 444, 45 (2006) CrossRefADSGoogle Scholar
  27. 27.
    S. Ashhab, J.R. Johansson, F. Nori, New J. Phys. 8, 103 (2006) CrossRefADSGoogle Scholar
  28. 28.
    A.M. Zagoskin, S. Ashhab, J.R. Johansson, F. Nori, Phys. Rev. Lett. 97, 077001 (2006) CrossRefADSGoogle Scholar
  29. 29.
    Y. Yu, S.L. Zhu, G. Sun, X. Wen, N. Dong, J. Chen, P. Wu, S. Han, Phys. Rev. Lett. 101, 157001 (2008) CrossRefADSGoogle Scholar
  30. 30.
    R.C. Bialczak, R. McDermott, M. Ansmann, M. Hofheinz, N. Katz, E. Lucero, M. Neeley, A.D. O’Connell, H. Wang, A.N. Cleland, J.M. Martinis, Phys. Rev. Lett. 99, 187006 (2007) CrossRefADSGoogle Scholar
  31. 31.
    A. Shnirman, G. Schön, I. Martin, Y. Makhlin, Phys. Rev. Lett. 94, 127002 (2005) CrossRefADSGoogle Scholar
  32. 32.
    I. Martin, L. Bulaevskii, A. Shnirman, Phys. Rev. Lett. 95, 127002 (2005) CrossRefADSGoogle Scholar
  33. 33.
    M. Steffen, M. Ansmann, R. McDermott, N. Katz, R.C. Bialczak, E. Lucero, M. Neeley, E.M. Weig, A.N. Cleland, J.M. Martinis, Phys. Rev. Lett. 97, 050502 (2006) CrossRefADSGoogle Scholar
  34. 34.
    M. Neeley, M. Ansmann, R.C. Bialczak, M. Hofheinz, N. Katz, E. Lucero, A. O’Connell, H. Wang, A.N. Cleland, J.M. Martinis, Nature Phys. 4, 523 (2008) CrossRefGoogle Scholar
  35. 35.
    L. Tian, K. Jacobs, Phys. Rev. B 79, 144503 (2009) CrossRefADSGoogle Scholar
  36. 36.
    J.M. Martinis, S. Nam, J. Aumentado, K.M. Lang, C. Urbina, Phys. Rev. B 67, 094510 (2003) CrossRefADSGoogle Scholar
  37. 37.
    M.B. Plenio, P.L. Knight, Rev. Mod. Phys. 70, 101 (1998) CrossRefADSGoogle Scholar
  38. 38.
    T. Tanamoto, K. Maruyama, Y.X. Liu, X. Hu, F. Nori, Phys. Rev. A 78, 062313 (2008) CrossRefADSGoogle Scholar
  39. 39.
    T. Tanamoto, Y.X. Liu, S. Fujita, X. Hu, F. Nori, Phys. Rev. Lett. 97, 230501 (2006) CrossRefMathSciNetADSGoogle Scholar
  40. 40.
    T. Tanamoto, Y.X. Liu, X. Hu, F. Nori, Phys. Rev. Lett. 102, 100501 (2009) CrossRefADSGoogle Scholar
  41. 41.
    G. Tóth, O. Gühne, Phys. Rev. Lett. 94, 060501 (2005) CrossRefADSGoogle Scholar
  42. 42.
    O. Gühne, P. Hyllus, Int. J. Theor. Phys. 42, 1001 (2003) MATHCrossRefGoogle Scholar
  43. 43.
    L. Chen, Y.X. Chen, Phys. Rev. A 76, 022330 (2007) CrossRefMathSciNetADSGoogle Scholar
  44. 44.
    Y.X. Liu, L.F. Wei, F. Nori, Phys. Rev. B 72, 014547 (2005) CrossRefADSGoogle Scholar
  45. 45.
    Y.J. Han, R. Raussendorf, L.M. Duan, Phys. Rev. Lett. 98, 150404 (2007) CrossRefMathSciNetADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • L. B. Yu
    • 1
    • 2
  • Z.-Y. Xue
    • 1
  • Z. D. Wang
    • 3
  • Y. Yu
    • 4
  • S. L. Zhu
    • 1
  1. 1.Laboratory of Quantum Information Technology, ICMP and SPTE, South China Normal UniversityGuangzhouP.R. China
  2. 2.Department of Physics and Electronic EngineeringHefei Normal UniversityHefeiP.R. China
  3. 3.Department of Physics and Center of Theoretical and Computational PhysicsThe University of Hong KongHong KongP.R. China
  4. 4.National Laboratory of Solid State Microstructures and Department of Physics, Nanjing UniversityNanjingP.R. China

Personalised recommendations