Skip to main content
SpringerLink
Log in

Entanglement generation through the interplay of harmonic driving and interaction in coupled superconducting qubits

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We study the manipulation of quantum entanglement by periodic external fields. As an entanglement measure we compute numerically the concurrence of two coupled superconducting qubits both driven by a dc + ac external control parameter. We show that when the driving term of the Hamiltonian commutes with the qubit–qubit interaction term, it is possible to create or destroy entanglement in a controlled way by tuning the system at or near multiphoton resonances. On the other hand, when the driving does not commute with the qubit–qubit interaction, the control and generation of entanglement induced by the driving field is more robust and extended in parameter space, beyond the multiphoton resonances.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. I. Bloch, Nature 453, 1016 (2008)

    Article  ADS  Google Scholar 

  2. H. Krauter, C.A. Muschik, K. Jensen, W. Wasilewski, J.M. Petersen, J.I. Cirac, E.S. Polzik, Phys. Rev. Lett. 107, 080503 (2011)

    Article  ADS  Google Scholar 

  3. R. Blatt, D. Wineland, Nature 453, 1008 (2008)

    Article  ADS  Google Scholar 

  4. J.T. Barreiro, M. Muller, P. Schindler, D. Nigg, T. Monz, M. Chwalla, M. Hennrich, C.F. Roos, P. Zoller, R. Blatt, Nature 470, 486 (2011)

    Article  ADS  Google Scholar 

  5. C. Rigetti, M. Devoret, Phys. Rev. B 81, 134507 (2010)

    Article  ADS  Google Scholar 

  6. S. Poletto, J.M. Gambetta, S.T. Merkel, J.A. Smolin, J.M. Chow, A.D. Córcoles, G.A. Keefe, M.B. Rothwell, J.R. Rozen, D.W. Abraham et al., Phys. Rev. Lett. 109, 240505 (2012)

    Article  ADS  Google Scholar 

  7. Z.H. Peng, Y.X. Liu, Y. Nakamura, J.S. Tsai, Phys. Rev. B 85, 024537 (2012)

    Article  ADS  Google Scholar 

  8. J.M. Chow, L. DiCarlo, J.M. Gambetta, A. Nunnenkamp, L.S. Bishop, L. Frunzio, M.H. Devoret, S.M. Girvin, R.J. Schoelkopf, Phys. Rev. A 81, 062325 (2010)

    Article  ADS  Google Scholar 

  9. T.P. Orlando, J.E. Mooij, L. Tian, C.H. van der Wal, L.S. Levitov, S. Lloyd, J.J. Mazo, Phys. Rev. B 60, 15398 (1999)

    Article  ADS  Google Scholar 

  10. J.R. Friedman, V. Patel, W. Chen, S.K. Tolpygo, J.E. Lukens, Nature 406, 43 (2000)

    Article  ADS  Google Scholar 

  11. C.H. van der Wal, A.C.J. ter Haar, F.K. Wilhelm, R.N. Schouten, C.J.P.M. Harmans, T.P. Orlando, S. Lloyd, J.E. Mooij, Science 290, 773 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. G. Wendin, V.S. Shumeiko, Low Temp. Phys. 33, 724 (2007)

    Article  ADS  Google Scholar 

  14. J. Clarke, F.K. Wilhelm, Nature 453, 1031 (2008)

    Article  ADS  Google Scholar 

  15. A. Izmalkov, M. Grajcar, E. Il’ichev, T. Wagner, H.G. Meyer, A.Y. Smirnov, M.H.S. Amin, A.M. van den Brink, A.M. Zagoskin, Phys. Rev. Lett. 93, 037003 (2004)

    Article  ADS  Google Scholar 

  16. M. Grajcar, A. Izmalkov, S.H.W. van der Ploeg, S. Linzen, E. Il’ichev, T. Wagner, U. Hübner, H.G. Meyer, A. Maassen van den Brink, S. Uchaikin et al., Phys. Rev. B 72, 020503 (2005)

    Article  ADS  Google Scholar 

  17. J.B. Majer, F.G. Paauw, A.C.J. ter Haar, C.J.P.M. Harmans, J.E. Mooij, Phys. Rev. Lett. 94, 090501 (2005)

    Article  ADS  Google Scholar 

  18. T. Yamamoto, Y.A. Pashkin, O. Astafiev, Y. Nakamura, J.S. Tsai, Nature 425, 941 (2003)

    Article  ADS  Google Scholar 

  19. F.W. Strauch, P.R. Johnson, A.J. Dragt, C.J. Lobb, J.R. Anderson, F.C. Wellstood, Phys. Rev. Lett. 91, 167005 (2003)

    Article  ADS  Google Scholar 

  20. J.E. Mooij, T.P. Orlando, L. Levitov, L. Tian, C.H. van der Wal, S. Lloyd, Science 285, 1036 (1999)

    Article  Google Scholar 

  21. S.H.W. van der Ploeg, A. Izmalkov, A.M. van den Brink, U. Hübner, M. Grajcar, E. Il’ichev, H.G. Meyer, A.M. Zagoskin, Phys. Rev. Lett. 98, 057004 (2007)

    Article  ADS  Google Scholar 

  22. B.L.T. Plourde, J. Zhang, K.B. Whaley, F.K. Wilhelm, T.L. Robertson, T. Hime, S. Linzen, P.A. Reichardt, C.E. Wu, J. Clarke, Phys. Rev. B 70, 140501 (2004)

    Article  ADS  Google Scholar 

  23. K. Harrabi, F. Yoshihara, A.O. Niskanen, Y. Nakamura, J.S. Tsai, Phys. Rev. B 79, 020507 (2009)

    Article  ADS  Google Scholar 

  24. P.C. de Groot, J. Lisenfeld, R.N. Schouten, S. Ashhab, A. Lupascu, C.J.P.M. Harmans, J.E. Mooij, Nat. Phys. 6, 763 (2010)

    Article  Google Scholar 

  25. Y. Nakamura, Y.A. Pashkin, J.S. Tsai, Phys. Rev. Lett. 87, 246601 (2001)

    Article  ADS  Google Scholar 

  26. S. Shevchenko, S. Ashhab, F. Nori, Phys. Rep. 492, 1 (2010)

    Article  ADS  Google Scholar 

  27. D.M. Berns, W.D. Oliver, S.O. Valenzuela, A.V. Shytov, K.K. Berggren, L.S. Levitov, T.P. Orlando, Phys. Rev. Lett. 97, 150502 (2006)

    Article  ADS  Google Scholar 

  28. M.S. Rudner, A.V. Shytov, L.S. Levitov, D.M. Berns, W.D. Oliver, S.O. Valenzuela, T.P. Orlando, Phys. Rev. Lett. 101, 190502 (2008)

    Article  ADS  Google Scholar 

  29. A. Izmalkov, S.H.W. van der Ploeg, S.N. Shevchenko, M. Grajcar, E. Il’ichev, U. Hübner, A.N. Omelyanchouk, H.G. Meyer, Phys. Rev. Lett. 101, 017003 (2008)

    Article  ADS  Google Scholar 

  30. C. Deng, J.L. Orgiazzi, F. Shen, S. Ashhab, A. Lupascu, Phys. Rev. Lett. 115, 133601 (2015)

    Article  ADS  Google Scholar 

  31. P. Neilinger, S.N. Shevchenko, J. Bogár, M. Rehák, G. Oelsner, D.S. Karpov, U. Hübner, O. Astafiev, M. Grajcar, E. Il’ichev, Phys. Rev. B 94, 094519 (2016)

    Article  ADS  Google Scholar 

  32. W.D. Oliver, Y. Yu, J.C. Lee, K.K. Berggren, L.S. Levitov, T.P. Orlando, Science 310, 1653 (2005)

    Article  ADS  Google Scholar 

  33. W.D. Oliver, S.O. Valenzuela, Quant. Inf. Process. 8, 261 (2009)

    Article  Google Scholar 

  34. A. Ferrón, D. Domínguez, M.J. Sánchez, Phys. Rev. B 82, 134522 (2010)

    Article  ADS  Google Scholar 

  35. J.H. Shirley, Phys. Rev. 138, B979 (1965)

    Article  ADS  Google Scholar 

  36. A. Ferrón, D. Domínguez, M.J. Sánchez, Phys. Rev. Lett. 109, 237005 (2012)

    Article  ADS  Google Scholar 

  37. A. Ferrón, D. Domínguez, M.J. Sánchez, Phys. Rev. B 93, 064521 (2016)

    Article  ADS  Google Scholar 

  38. S.K. Son, S. Han, S.I. Chu, Phys. Rev. A 79, 032301 (2009)

    Article  ADS  Google Scholar 

  39. J. Hausinger, M. Grifoni, Phys. Rev. A 81, 022117 (2010)

    Article  ADS  Google Scholar 

  40. S. Ashhab, J.R. Johansson, A.M. Zagoskin, F. Nori, Phys. Rev. A 75, 063414 (2007)

    Article  ADS  Google Scholar 

  41. A. Dewes, F.R. Ong, V. Schmitt, R. Lauro, N. Boulant, P. Bertet, D. Vion, D. Esteve, Phys. Rev. Lett. 108, 057002 (2012)

    Article  ADS  Google Scholar 

  42. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  43. M.D. Shulman, O.E. Dial, S.P. Harvey, H. Bluhm, V. Umansky, A. Yacoby, Science 336, 202 (2012)

    Article  ADS  Google Scholar 

  44. N. Roch, M.E. Schwartz, F. Motzoi, C. Macklin, R. Vijay, A.W. Eddins, A.N. Korotkov, K.B. Whaley, M. Sarovar, I. Siddiqi, Phys. Rev. Lett. 112, 170501 (2014)

    Article  ADS  Google Scholar 

  45. A. Narla, S. Shankar, M. Hatridge, Z. Leghtas, K.M. Sliwa, E. Zalys-Geller, S.O. Mundhada, W. Pfaff, L. Frunzio, R.J. Schoelkopf et al., Phys. Rev. X 6, 031036 (2016)

    Google Scholar 

  46. G. Romero, C.E. López, F. Lastra, E. Solano, J.C. Retamal, Phys. Rev. A 75, 032303 (2007)

    Article  ADS  Google Scholar 

  47. A.M. Satanin, M.V. Denisenko, S. Ashhab, F. Nori, Phys. Rev. B 85, 184524 (2012)

    Article  ADS  Google Scholar 

  48. S. Sauer, F. Mintert, C. Gneiting, A. Buchleitner, J. Phys. B:At. Mol. Opt. Phys. 45, 154011 (2012)

    Article  ADS  Google Scholar 

  49. F. Yan, S. Gustavsson, A. Kamal, J. Birenbaum, A.P. Sears, D. Hover, T.J. Gudmundsen, D. Rosenberg, G. Samach, S. Weber et al., Nat. Commun. 7, 12964 (2016)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centro Atómico Bariloche and Instituto Balseiro, 8400, San Carlos de Bariloche, Argentina

    Ana Laura Gramajo, Daniel Domínguez & María José Sánchez

Authors
  1. Ana Laura Gramajo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daniel Domínguez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. María José Sánchez
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to María José Sánchez.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gramajo, A.L., Domínguez, D. & Sánchez, M.J. Entanglement generation through the interplay of harmonic driving and interaction in coupled superconducting qubits. Eur. Phys. J. B 90, 255 (2017). https://doi.org/10.1140/epjb/e2017-80563-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2017-80563-y

Keywords

Search

Navigation