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Stabilization of quantum information by combined dynamical decoupling and detected-jump error correction

  • Quantum Optics and Quantum Information
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Abstract.

Two possible applications of random decoupling are discussed. Whereas so far decoupling methods have been considered merely for quantum memories, here it is demonstrated that random decoupling is also a convenient tool for stabilizing quantum algorithms. Furthermore, a decoupling scheme is presented which involves a random decoupling method compatible with detected-jump error correcting quantum codes. With this combined error correcting strategy it is possible to stabilize quantum information against both spontaneous decay and static imperfections of a qubit-based quantum information processor in an efficient way.

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References

  • L. Viola, E. Knill, S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000)

  • G. Alber, T. Beth, C. Charnes, A. Delgado, M. Grassl, M. Mussinger, Phys. Rev. Lett. 86, 4402 (2001)

    Article  ADS  Google Scholar 

  • G. Alber, T. Beth, C. Charnes, A. Delgado, M. Grassl, M. Mussinger, Phys. Rev. A 68, 012316 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  • O. Kern, G. Alber, Phys. Rev. Lett. 95, 250501 (2005)

    Article  ADS  Google Scholar 

  • L. Viola, E. Knill, Phys. Rev. Lett. 94, 060502 (2005)

    Article  ADS  Google Scholar 

  • O. Kern, G. Alber, D.L. Shepelyansky, Eur. Phys. J. D 32, 153 (2005)

    Article  ADS  Google Scholar 

  • R.R. Ernst, G. Bodenhausen, A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions of series International Series of Monographs on Chemistry (Oxford Science Publications, 1987), Vol. 14

  • M. Stollsteimer, G. Mahler, Phys. Rev. A 64, 052301 (2001)

    Article  ADS  Google Scholar 

  • L.F. Santos, L. Viola, Phys. Rev. Lett. 97, 150501 (2006)

    Article  ADS  Google Scholar 

  • P. Wocjan, M. Rotteler, D. Janzing, T. Beth, Quant. Inf. Comp. 2, 133 (2002)

    MathSciNet  Google Scholar 

  • E. Knill, Non-binary unitary error bases and quantum codes, Technical report LAUR-96-2717, Los Alamos National Laboratory, arXiv:quant-ph/9608048 (1996)

  • T. Prosen, Phys. Rev. E 65, 036208 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  • M.A. Nielsen, Phys. Lett. A 303, 249 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • D. Poulin, R. Blume-Kohout, R. Laflamme, H. Ollivier, Phys. Rev. Lett. 92, 177906 (2004)

    Article  ADS  Google Scholar 

  • L.K. Grover, Phys. Rev. Lett. 79, 325 (1997)

    Article  ADS  Google Scholar 

  • K.M. Frahm, R. Fleckinger, D.L. Shepelyansky, Eur. Phys. J. D 29, 139 (2004)

    Article  ADS  Google Scholar 

  • T. Prosen, M. Žnidarič, J. Phys. A: Math. Gen. 34, L681 (2001)

  • H. Carmichael, Statistical Methods in Quantum Optics (Springer, 2003)

  • O. Kern, G. Alber, Eur. Phys. J. D 36, 241 (2005)

    Article  ADS  Google Scholar 

  • K. Khodjasteh, D.A. Lidar, Phys. Rev. Lett. 89, 197904 (2002)

    Article  ADS  Google Scholar 

  • G. Alber, M. Mussinger, A. Delgado, Universal sets of quantum gates for detected jump-error correcting quantum codes, e-print arXiv:quant-ph/0208177 (2002)

  • R. Dum, A.S. Parkins, P. Zoller, Phys. Rev. A 46, 4382 (1992)

    Article  ADS  Google Scholar 

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Geberth, D., Kern, O., Alber, G. et al. Stabilization of quantum information by combined dynamical decoupling and detected-jump error correction. Eur. Phys. J. D 46, 381–394 (2008). https://doi.org/10.1140/epjd/e2007-00303-6

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  • DOI: https://doi.org/10.1140/epjd/e2007-00303-6

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