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Quantum control of two-qubit entanglement dissipation

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Abstract

We investigate quantum control of the dissipation of entanglement under environmental decoherence. We show by means of a simple two-qubit model that standard control methods – coherent or openloop control – will not in general prevent entanglement loss induced by a Markovian environment. However, we propose a control method utilizing a Wiseman–Milburn feedback/measurement control scheme which will effectively negate environmental entanglement dissipation.

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References

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

    Article  ADS  Google Scholar 

  2. G. Lindblad, Commun. Math. Phys., 48, 119 (1976).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. G. Lindblad, Commun. Math. Phys., 40, 147 (1975).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys., 17, 821 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  5. E. C. G. Sudarshan, P. M. Matthews, and J. Rau, Phys. Rev., 121, 920 (1961).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. K. Kraus, Ann. Phys., 64 311 (1971).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. T. F. Havel, J. Math. Phys., 44, 534 (2003).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. S. G. Schirmer and A. I. Solomon, Phys. Rev., A 70, 022107 (2004).

    ADS  Google Scholar 

  9. A. I. Solomon, Eur. Phys. J. (Special Topics), 160, 391 (2008).

    Article  ADS  Google Scholar 

  10. A. I. Solomon and S. G. Schirmer, in: Dissipative ‘Groups’ and the Bloch Ball, Conference Series, Institute of Physics Publishers, Bristol (2002), Vol. 173, p. 485.

  11. S. G. Schirmer and X. Wang, Phys. Rev. A, 81, 062306 (2010).

    Article  ADS  Google Scholar 

  12. F. Ticozzi, S. G. Schirmer, and X. Wang, IEEE Trans. Autom. Control, 55, 2901 (2010).

    Article  MathSciNet  Google Scholar 

  13. H. M. Wiseman, Phys. Rev. A, 49, 2133 (1994).

    Article  ADS  Google Scholar 

  14. H. M. Wiseman and G. J. Milburn, Quantum Measurement and Control, Cambridge University Press, Cambridge, UK (2010), see especially Ch. 5.

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Correspondence to Allan I. Solomon.

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Solomon, A.I., Schirmer, S.G. Quantum control of two-qubit entanglement dissipation. J Russ Laser Res 32, 502–510 (2011). https://doi.org/10.1007/s10946-011-9240-0

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