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Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature

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Abstract

Distillability sudden death and sudden birth in a two-qutrit system locally subject to amplitude damping channel at a finite temperature have been studied in detail. By using the negativity and the realignment criterion, the results show that certain initially prepared free entangled states under amplitude damping channel at a finite temperature may become bound entangled or separable states in a finite time. Moreover, we have also demonstrated initially prepared bound entangled or separable states may also become distillable entangled states in a finite time.

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References

  1. Bellomo, B., Compagno, G., D’Arrigo, A., Falci, G., Lo Franco, R., Paladino, E.: Entanglement degradation in the solid state: interplay of adiabatic and quantum noise. Phys. Rev. A 81, 062309 (2010)

    Article  ADS  MATH  Google Scholar 

  2. Bellomo, B., Compagno, G., Lo Franco, R., Ridolfo, A., Savasta, S.: Entanglement dynamics of two independent cavity-embedded quantum dots. Phys. Scr. T 143, 014004 (2011)

    Article  ADS  Google Scholar 

  3. Lo Franco, R., Bellomo, B., Maniscalco, S., Compagno, G.: Dynamics of quantum correlations in two-qubit systems within non-Markovian environments. Int. J. Mod. Phys. B 27, 1345053 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Bellomo, B., Lo Franco, R., Maniscalco, S., Compagno, G.: Two-qubit entanglement dynamics for two different non-Markovian environments. Phys. Scr. T 140, 014014 (2010)

    Article  ADS  Google Scholar 

  5. Horodecki, P., Horodecki, M., Horodecki, R.: Bound entanglement can be activated. Phys. Rev. Lett. 82, 1056 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Yu, T., Eberly, J.H.: Phonon decoherence of quantum entanglement: robust and fragile states. Phys. Rev. B 66, 193306 (2002)

    Article  ADS  Google Scholar 

  7. Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  8. Sharma, K.K., Awasthi, S.K., Pandey, S.N.: Entanglement sudden death and birth in qubit-qutrit systems under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 12, 3437–3447 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Lo Franco, R., D’Arrigo, A., Falci, G., Compagno, G., Paladino, E.: Entanglement dynamics in superconducting qubits affected by local bistable impurities. Phys. Scr. T 147, 014019 (2012)

    Article  ADS  Google Scholar 

  10. Bellomo, B., Lo Franco, R., Andersson, E., Cresser, J.D., Compagno, G.: Dynamics of correlations due to a phase-noisy laser. Phys. Scr. T 147, 014004 (2012)

    Article  ADS  Google Scholar 

  11. Lo Franco, R., D’Arrigo, A., Falci, G., Compagno, G., Paladino, E.: Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling. Phys. Rev. B 90, 054304 (2014)

    Article  ADS  Google Scholar 

  12. Bellomo, B., Lo Franco, R., Compagno, G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342 (2008)

    Article  ADS  Google Scholar 

  13. Bellomo, B., Lo Franco, R., Compagno, G.: Non-Markovian effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)

    Article  ADS  Google Scholar 

  14. D’Arrigo, A., Lo Franco, R., Benenti, G., Paladino, E., Falci, G.: Recovering entanglement by local operations. Ann. Phys. 350, 211–224 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. Aolita, L., de Melo, F., Davidovich, L.: Open-system dynamics of entanglement: a key issues review. Rep. Prog. Phys. 78, 042001 (2015)

    Article  ADS  Google Scholar 

  16. Orieux, A., D’Arrigo, A., Ferranti, G., Lo Franco, R., Benenti, G., Paladino, E., Falci, G., Sciarrino, F., Mataloni, P.: Experimental on-demand recovery of quantum entanglement by local operations within non-Markovian dynamics. Sci. Rep. 5, 8575 (2015)

    Article  ADS  Google Scholar 

  17. Xu, J.S., Sun, K., Li, C.F., Xu, X.Y., Guo, G.C., Andersson, E., Lo Franco, R., Compagno, G.: Experimental recovery of quantum correlations in absence of system-environment back-action. Nat. Commun. 4, 2851 (2013)

    ADS  Google Scholar 

  18. Salles, A., Melo, F., Almeida, M.P., Hor-Meyll, M., Walborn, S.P., Souto Ribeiro, P.H., Davidovich, L.: Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment. Phys. Rev. A 78, 022322 (2008)

    Article  ADS  Google Scholar 

  19. Leggio, B., Lo Franco, R., Soares-Pinto, D., Horodecki, P., Compagno, G.: Distributed correlations and information flows within a hybrid multipartite quantum-classical system. Phys. Rev. A 92, 032311 (2015)

    Article  ADS  Google Scholar 

  20. Man, Z.X., Xia, Y.J., Lo Franco, R.: Cavity-based architecture to preserve quantum coherence and entanglement. Sci. Rep. 5, 13843 (2015)

    Article  ADS  Google Scholar 

  21. Song, W., Chen, L., Zhu, S.L.: Sudden death of distillability in qutrit-qutrit systems. Phys. Rev. A 80, 012331 (2009)

    Article  ADS  Google Scholar 

  22. Ali, M., Huang, J.: Distillability sudden birth of entanglement for qutrit-qutrit systems. Chin. Phys. Lett. 31, 110301 (2014)

    Article  Google Scholar 

  23. Ali, M.: Distillability sudden death in qutrit–qutrit systems under amplitude damping. J. Phys. B At. Mol. Opt. Phys. 43, 045504 (2010)

    Article  ADS  Google Scholar 

  24. Ali, M.: Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing. Phys. Rev. A 81, 042303 (2010)

    Article  ADS  Google Scholar 

  25. Ali, M.: Comments on “Distillability sudden death in qutrit-qutrit systems under thermal reservoir”. Chin. Phys. B 23, 090306 (2014)

    Article  Google Scholar 

  26. Huang, J., Fang, M.F., Yang, B.Y., Liu, X.: Distillability sudden death in a two qutrit systems under a thermal reservoir. Chin. Phys. B 21, 084205 (2012)

    Article  ADS  Google Scholar 

  27. Guo, Y.N., Fang, M.F., Zhang, S.Y., Liu, X.: Distillability sudden death in two-qutrit systems with external magnetic field and Dzyaloshinskii–Moriya interaction due to decoherence. Eur. Phys. Lett. 108, 47002 (2014)

    Article  ADS  Google Scholar 

  28. Guo, Y.N., Fang, M.F., Zou, H.M., Zhang, S.Y., Liu, X.: Sudden death of distillability in a two-qutrit anisotropic Heisenberg spin model. Quantum Inf. Process. 14, 2067–2076 (2015)

    Article  ADS  MATH  Google Scholar 

  29. Sun, Z., Wang, X.G., Gao, Y.B., Sun, C.P.: Decoherence in time evolution of bound entanglement. Eur. Phys. J. D 46, 521–530 (2008)

    Article  ADS  Google Scholar 

  30. Cheng, W., Xu, F., Li, H., Wang, G.: Entanglement and distillability in qutrit–qutrit systems by convex linear combination. Int. J. Theor. Phys. 52, 1061–1074 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  31. Derkacz, Ł., Jakóbczyk, L.: Delayed birth of distillable entanglement in the evolution of bound entangled states. Phys. Rev. A 82, 022312 (2010)

    Article  ADS  Google Scholar 

  32. Derkacz, Ł., Jakóbczyk, L.: Vacuum-induced stationary entanglement in radiatively coupled three-level atoms. J. Phys. A 41, 205304 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. Derkacz, Ł., Jakóbczyk, L.: Dynamical creation of entanglement versus disentanglement in a system of three-level atoms with vacuum-induced coherences. Phys. Lett. A 372, 7117 (2008)

    Article  ADS  MATH  Google Scholar 

  34. Baghbanzadeh, S., Alipour, S., Rezakhani, A.T.: Bound entanglement in quantum phase transitions. Phys. Rev. A 81, 042302 (2010)

    Article  ADS  Google Scholar 

  35. Baghbanzadeh, S., Rezakhani, A.T.: Distillation of free entanglement from bound entangled states using weak measurements. Phys. Rev. A 88, 062320 (2013)

    Article  ADS  Google Scholar 

  36. Guo, J.L., Wei, J.L., Qin, W.: Enhancement of quantum correlations in qubit–qutrit system under decoherence of finite temperature. Quantum Inf. Process. 14, 1399–1410 (2015)

    Article  ADS  MATH  Google Scholar 

  37. Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

  38. Peres, A.: Separability criterion for density matrices. Phys. Rev. Lett. 77, 1413 (1996)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  39. Zhang, C.J., Zhang, Y.S., Zhang, S., Guo, G.C.: Entanglement detection beyond the computable cross-norm or realignment criterion. Phys. Rev. A 77, 060301 (2008)

    Article  ADS  Google Scholar 

  40. Chen, K., Wu, L.A.: A matrix realignment method for recognizing entanglement. Quantum Inf. Comput. 3, 193–202 (2003)

    MathSciNet  MATH  Google Scholar 

  41. Caves, C.M., Milburn, G.J.: Qutrit entanglement. Opt. Commun. 179, 439–446 (2000)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

We would like to thank reviewers for their kind suggestions and helpful comments. This work is supported by the National Natural Science Foundation of China (Grant Nos. 11374096 and 11074072) and Scientific Research Foundation of Hunan Provincial Education Department (No. 13C039).

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Correspondence to Mao-fa Fang or Ke Zeng.

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Guo, Yn., Fang, Mf., Wang, Gy. et al. Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature. Quantum Inf Process 15, 2851–2861 (2016). https://doi.org/10.1007/s11128-016-1296-x

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