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Dissipation, dephasing and quantum Darwinism in qubit systems with random unitary interactions

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Abstract

We investigate the influence of dissipation and decoherence on quantum Darwinism by generalizing Zurek’s original qubit model of decoherence and the establishment of pointer states [W.H. Zurek, Nat. Phys. 5, 181 (2009); see also arXiv: quant-ph/0707.2832v1, pp. 14-19.]. Our model allows for repeated multiple qubit-qubit couplings between system and environment which are described by randomly applied two-qubit quantum operations inducing entanglement, dissipation and dephasing. The resulting stationary qubit states of system and environment are investigated. They exhibit the intricate influence of entanglement generation, dissipation and dephasing on this characteristic quantum phenomenon.

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References

  1. E. Joos, H.D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, I.-O. Stamatescu, Decoherence and the Appearence of a Classical World in Quantum Theory (Springer, New York, 2003)

  2. W.H. Zurek, Nat. Phys. 5, 181 (2009)

    Article  Google Scholar 

  3. W.H. Zurek, arXiv:0707.2832v1 [quant-ph], pp. 14–19.

  4. W.H. Zurek, Philos. Trans. R. Soc. London, Ser. A 356, 1793 (1998)

    Article  ADS  Google Scholar 

  5. R. Blume-Kohout, W.H. Zurek, Found. Phys. 35, 1857 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  6. W.H. Zurek, Phys. Rev. D 26, 1862 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  7. F.G.S.L. Brandão, M. Piani, P. Horodecki, Nat. Commun. 6, 7908 (2015)

    Article  ADS  Google Scholar 

  8. N. Balanesković, Eur. Phys. J. D 69, 232 (2015)

    Article  ADS  Google Scholar 

  9. V. Scarani, M. Ziman, P. Stelmachovic, N. Gisin, V. Buzek, Phys. Rev. Lett. 88, 097905 (2002)

    Article  ADS  Google Scholar 

  10. M. Berta, J.M. Rennes, M.M. Wilde, IEEE T. Inform. Theory 60, 7987 (2014)

    Article  Google Scholar 

  11. J. Novotný G. Alber, I. Jex, Phys. Rev. Lett. 107, 090501 (2011)

    Article  ADS  Google Scholar 

  12. J. Novotný, G. Alber, I. Jex, New J. Phys. 13, 053052 (2011)

    Article  ADS  Google Scholar 

  13. J. Novotný, G. Alber, I. Jex, J. Phys. A 45, 485301 (2012)

    Article  MathSciNet  Google Scholar 

  14. D. Serre, Matrices – Theory and Applications (Springer, New York, 2010)

Download references

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Correspondence to Nenad Balaneskovic.

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Balaneskovic, N., Mendler, M. Dissipation, dephasing and quantum Darwinism in qubit systems with random unitary interactions. Eur. Phys. J. D 70, 177 (2016). https://doi.org/10.1140/epjd/e2016-70174-9

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  • DOI: https://doi.org/10.1140/epjd/e2016-70174-9

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