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Regulation of Entanglement and Geometric Quantum Discord of Hybrid Superconducting Qubits for Circuit QED

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Abstract

We investigate the dynamic evolution behaviors of entanglement and geometric quantum discord (GQD) of hybrid qubits in a circuit QED system. Under certain initial conditions, interactions between qubits and that between the qubit and the cavity can suppress the decay of entanglement and GQD of qubits. Under the initial condition |ψ Q (0)〉 I =sinα|↓↑〉+cosα|↑↓〉, such decay was avoided by increasing the coupling strength ratio between qubits and that between the qubit and the cavity. Under the aforementioned condition, the survival time of entanglement and GQD was prolonged by decreasing the coupling strength ratio between qubits and that between the qubit and the cavity.

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References

  1. Browne, D.E., Plenio, M.B.: Robust generation of entanglement between two cavities mediated by short interactions with an atom. Phys. Rev. A 67, 012325 (2003)

    Article  ADS  Google Scholar 

  2. Deng, Z.J., Feng, M., Gao, K.L.: Simple scheme for generating an n-qubit W state in cavity QED. Phys. Rev. A 73, 014302 (2006)

    Article  ADS  Google Scholar 

  3. Paik, H., Schuster, D.I., Bishop, L.S., Kirchmair, G., Catelani, G., Sears, A.P., Johnson, B.R., Reagor, M.J., Frunzio, L., Glazman, L.I., Girvin, S.M., Devoret, M.H., Schoelkopf, R.J.: Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture. Phys. Rev. Lett. 107, 240501 (2011)

    Article  ADS  Google Scholar 

  4. Schreier, J.A., Houck, A.A., Koch, J., Schuster, D.I., Johnson, B.R., Chow, J.M., Gambetta, J.M., Majer, J., Frunzio, L., Devoret, M.H., Girvin, S.M., Schoelkopf, R.J.: Suppressing charge noise decoherence in superconducting charge qubits. Phys. Rev. B 77, 180502 (2008)

    Article  ADS  Google Scholar 

  5. Ji, Y.H., Hu, J.J., Hu, Y.: Comparison and control of the robustness between quantum entanglement and quantum correlation in an open quantum system. Chin. Phys. B 21, 110304 (2012)

    Article  ADS  Google Scholar 

  6. Rigetti, C., Gambetta, J.M., Poletto, S., Plourde, B.L.T., Chow, J.M., Córcoles, A.D., Smolin, J.A., Merkel, S.T., Rozen, J.R., Keefe, G.A., Rothwell, M.B., Ketchen, M.B., Steffen, M.: Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms. Phys. Rev. B 86, 100506 (2012)

    Article  ADS  Google Scholar 

  7. Laflamme, C., Clerk, A.A.: Weak qubit measurement with a nonlinear cavity: beyond perturbation theory. Phys. Rev. Lett. 109, 123602 (2012)

    Article  ADS  Google Scholar 

  8. Ji, Y.H., Liu, Y.M., Wang, Z.S.: Avoiding the decay of entanglement for coupling two-qubit system interacting with a non-Markov environment. Chin. Phys. B 20, 070304 (2011)

    Article  ADS  Google Scholar 

  9. Streltsov, A., Kampermann, H., Bruß, D.: Quantum cost for sending entanglement. Phys. Rev. Lett. 108, 250501 (2012)

    Article  ADS  Google Scholar 

  10. Datta, A., Zhang, L.J., Nunn, J., Langford, N.K., Feito, A., Plenio, M.B., Walmsley, I.A.: Compact continuous-variable entanglement distillation. Phys. Rev. Lett. 108, 060502 (2012)

    Article  ADS  Google Scholar 

  11. Luo, S., Fu, S.: Measurement-induced nonlocality. Phys. Rev. Lett. 106, 120401 (2011)

    Article  ADS  Google Scholar 

  12. Xu, J.S., Xu, X.Y., Li, C.F., Zhang, C.J., Zou, X.B., Guo, G.C.: Experimental investigation of classical and quantum correlations under decoherence. Nat. Commun. 10.1038 (2010)

  13. He, X.L., You, J.Q., Liu, Y.X., Wei, L.F., Nori, F.: Switchable coupling between charge and flux qubits. Phys. Rev. B 76, 24517 (2007)

    Article  ADS  Google Scholar 

  14. He, X.L., Liu, Y.X., You, J.Q., Nori, F.: Variable-frequency-controlled coupling in charge qubit circuits: effects of microwave field on qubit-state readout. Phys. Rev. A 76, 022317 (2007)

    Article  ADS  Google Scholar 

  15. Wu, Q.Q., Liao, J.Q., Kuang, L.M.: Quantum state transfer between charge and flux qubits in circuit-QED. Chin. Phys. Lett. 25, 1179 (2008)

    Article  ADS  Google Scholar 

  16. Zhang, J.S., Chen, A.-X.: Review of quantum discord in bipartite and multipartite systems. Quantum Phys. Lett. 1, 69 (2012)

    ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11164009.

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Correspondence to Ying-Hua Ji.

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Ji, YH., Liu, YM. Regulation of Entanglement and Geometric Quantum Discord of Hybrid Superconducting Qubits for Circuit QED. Int J Theor Phys 52, 3220–3228 (2013). https://doi.org/10.1007/s10773-013-1617-0

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  • DOI: https://doi.org/10.1007/s10773-013-1617-0

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