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Sudden Change of Quantum Discord in Qutrit-Qutrit System Under Depolarising Noise

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Abstract

The effects of decoherence on quantum discord of two-qutrit system under the influence of multilocal, collective and global depolarising noises are investigated. Sudden change of quantum discord with the decoherence parameter and the initial state parameter occurs for the qutrits being coupled to multilocal or global depolarising noises. On the other hand, decoherence cannot induce sudden change of quantum discord when the system is collectively coupled to the depolarising noise. In addition, the local unitary transformation can alter the region in which the phenomenon of sudden change exists.

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References

  1. Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001) and references therein

    Article  ADS  Google Scholar 

  2. Henderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A 34, 6899 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. Knill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)

    Article  ADS  Google Scholar 

  4. Dillenschneider, R., Lutz, E.: Energetics of quantum correlations. Europhys. Lett. 88, 50003 (2009)

    Article  ADS  Google Scholar 

  5. Dillenschneider, R.: Quantum discord and quantum phase transition in spin chains. Phys. Rev. B 78, 224413 (2008)

    Article  ADS  Google Scholar 

  6. Sarandy, M.S.: Classical correlation and quantum discord in critical systems. Phys. Rev. A 80, 022108 (2009)

    Article  ADS  Google Scholar 

  7. Cui, J., Fan, H.: Correlations in the Grover search. J. Phys. A: Math. Theor. 43, 045305 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  8. Maziero, J., Guzman, H.C., Céeri, L.C., Sarandy, M.S., Serra, R.M.: Quantum and classical thermal correlations in the XY spin-1/2 chain. Phys. Rev. A 82, 012106 (2010)

    Article  ADS  Google Scholar 

  9. Werlang, T., Trippe, C., Ribeiro, G.A.P., Rigolin, G.: Quantum correlations in spin chains at finite temperatures and quantum phase transitions. Phys. Rev. Lett. 105, 095702 (2010)

    Article  ADS  Google Scholar 

  10. Li, Y., Lin, H.: Thermal quantum and classical correlations and entanglement in the XY spin model with threespin interaction. Phys. Rev. A 83, 052323 (2011)

    Article  ADS  Google Scholar 

  11. Qiu, L., Wang, A.: Quantum discord for a central two-qubit system couple to an XY spin chain with Dzyaloshinsky-Moriya interaction. Phys. Scr. 84, 045021 (2011)

    Article  ADS  Google Scholar 

  12. Qiu, L., Tang, G., Han, K., Yang, X., Wu, Y., Ye, B.: Quantum discord for a central two-qubit system coupled to an XY spin chain with multipartite interaction. Phys. E 46, 218 (2012)

    Article  Google Scholar 

  13. Giorda, P., Paris, M.G.A.: Gaussian quantum discord. Phys. Rev. Lett. 105, 020503 (2010)

    Article  ADS  Google Scholar 

  14. Adesso, G., Datta, A.: Quantum versus classical correlations in Gaussian states. Phys. Rev. Lett. 105, 030501 (2010)

    Article  ADS  Google Scholar 

  15. Luo, S.: Quantum discord for two-qubit systems. Phys. Rev. A 77, 042303 (2008)

    Article  ADS  Google Scholar 

  16. Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A 81, 042105 (2010)

    Article  ADS  Google Scholar 

  17. Dakić, B., Vedral, V., Brukner, Č.: Ultrafast gates for single atomic qubits. Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  18. Werlang, T., Souza, S., Fanchini, F.F., VillasBoas, C.J.: Two-qubit decoherence mechanisms revealed via quantum process tomography. Phys. Rev. A 80, 024103 (2009)

    Article  ADS  Google Scholar 

  19. Qiu, L.: Quantum correlations at finite temperature. Int. J. Quantum. Inf. 10, 1250027 (2012)

    Article  Google Scholar 

  20. Qiu, L.: Quantum correlations in a two-qubit Heisenberg XX model under intrinsic decoherence. Commun. Theor. Phys. 60, 391 (2013)

    Article  ADS  Google Scholar 

  21. Vasile, R., Giorda, P., Olivares, S., Paris Matteo, G.A., Maniscalco, S.: Nonclassical correlations in non-Markovian continuous-variable systems. Phys. Rev. A 82, 012313 (2010)

    Article  ADS  Google Scholar 

  22. Wang, B., Xu, Z.Y., Chen, Z.Q., Feng, M.: Non-Markovian effect on the quantum discord. Phys. Rev. A 81, 014101 (2010)

    Article  ADS  Google Scholar 

  23. Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Non-Markovian dynamics of quantum discord. Phys. Rev. A 81, 052107 (2010)

    Article  ADS  Google Scholar 

  24. Mazzola, L., Piilo, J., Maniscalco, S.: Sudden transition between classical and quantum decoherence. Phys. Rev. Lett. 104, 200401 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  25. Li, B., Wang, Z.X., Fei, S.M.: Quantum discord and geometry for a class of two-qubit states. Phys. Rev. A 83, 022321 (2011)

    Article  ADS  Google Scholar 

  26. Auccaise, R., Céleri, L.C., Soares-Pinto, D.O., de Azevedo, E.R., Maziero, J., Souza, A.M., Bonagamba, T.J., Sarthour, R.S., Oliveira, I.S., Serra, R.M.: Environment-induced sudden transition in quantum discord dynamics. Phys. Rev. Lett. 107, 140403 (2011)

    Article  ADS  Google Scholar 

  27. He, Q.L., Xu, J.B., Yao, D.X., Zhang, Y.Q.: Sudden transition between classical and quantum decoherence in dissipative cavity QED and stationary quantum discord. Phys. Rev. A 84, 022312 (2011)

    Article  ADS  Google Scholar 

  28. Montealegre, J.D., Paula, F.M., Saguia, A., Sarandy, M.S.: One-norm geometric quantum discord under decoherence. Phys. Rev. A 87, 042115 (2013)

    Article  ADS  Google Scholar 

  29. Yan, X.Q., Liu, G.H., Chee, J.: Sudden change in quantum discord accompanying the transition from bound to free entanglement. Phys. Rev. A 87, 022340 (2013)

    Article  ADS  Google Scholar 

  30. Salimi, S., Soltanzadeh, M.M.: Investigation of quantum roulette. Int. J. Quantum Inf. 7, 615 (2009)

    Article  MATH  Google Scholar 

  31. Khan, S., Khan, M.K.: Nondistillability of distillable qutrit–qutrit states under depolarising noise. J. Mod. Opt. 58, 918 (2011)

    Article  ADS  Google Scholar 

  32. Hassan, A.S.M., Lari, B., Joag, P.S.: Tight lower bound to the geometric measure of quantum discord. Phys. Rev. A 85, 024302 (2012)

    Article  ADS  Google Scholar 

  33. Luo, S., Fu, S.: Geometric measure of quantum discord. Phys. Rev. A 82, 034302 (2010)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  35. Rau, A.R.P., Ali, M., Alber, G.: Hastening, delaying, or averting sudden death of quantum entanglement. Europhys. Lett. 82, 40002 (2008)

    Article  ADS  Google Scholar 

  36. Ali, M., Alber, G., Rau, A.R.P.: Manipulating entanglement sudden death of two-qubit X-states in zeroand finite-temperature reservoirs. J. Phys. B: At. Mol. Opt. Phys. 42, 025501 (2009)

    Article  ADS  Google Scholar 

  37. Piani, M.: Problem with geometric discord. Phys. Rev. A 86, 034101 (2012)

    Article  ADS  Google Scholar 

  38. Tufarelli, T., Girolami, D., Vasile, R., Bose, S., Adesso, G.: Quantum resources for hybrid communication via qubit-oscillator states. Phys. Rev. A 86, 052326 (2012)

    Article  ADS  Google Scholar 

  39. Dakić, B., Lipp, Y.O., Ma, X., Ringbauer, M., Kropatschek, S., Barz, S., Paterek, T., Vedral, V., Zeilinger, A., Brukner, C., Walther, P.: Quantum discord as resource for remote state preparation. Nat. Phys. 8, 666 (2012). arXiv:1203.1629

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Acknowledgements

This work was supported by “the Fundamental Research Funds for the Central Universities” of China University of Mining and Technology under Grant No. 2012QNA37 and National Natural Science Foundation of China under Grant Nos. 11304377 and 11375168.

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Correspondence to Liang Qiu.

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Qiu, L., Tang, G., Yang, X. et al. Sudden Change of Quantum Discord in Qutrit-Qutrit System Under Depolarising Noise. Int J Theor Phys 53, 2769–2777 (2014). https://doi.org/10.1007/s10773-014-2073-1

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  • DOI: https://doi.org/10.1007/s10773-014-2073-1

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