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Unlearning quantum information

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Abstract

Measurement can drive quantum dynamics, for example in ancilla driven quantum computation where unitary evolution is generated by measurements that extract no information. Where a measurement does reveal some information about the system, it may sometimes be possible to “unlearn” this information and restore unitary evolution through subsequent measurements. Here we analyse two methods of quantum “unlearning” and present a simplified proof of the bound on the probability of successfully applying the required correction operators. The probability of successful recovery is inversely related to the ability of the initial measurement to exclude the possibility of a state. As a consequence there exist unrecoverable measurements that provide little information gain.

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References

  1. R. Raussendorf, D.E. Browne, H.J. Briegel, Phys. Rev. A 68, 022312 (2003)

    Article  ADS  Google Scholar 

  2. E. Kashefi et al., Electron. Notes Theor. Comput. Sci. 249, 307 (2009)

    Article  Google Scholar 

  3. J. Anders et al., Phys. Rev. A 82, 020301 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  4. J. Anders et al., Theor. Comput. Sci. 430, 51 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Anandan, A. Pines, Phys. Lett. A 141, 335 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  6. D.K.L. Oi, Phys. Rev. A 89, 050102(R)(2014)

    Article  ADS  Google Scholar 

  7. M. Ueda, N. Imoto, H. Nagaoka, Phys. Rev. A 53, 3808 (1996)

    Article  ADS  Google Scholar 

  8. M. Koashi, M. Ueda, Phys. Rev. Lett. 82, 2598 (1999)

    Article  ADS  Google Scholar 

  9. G.S. Paraoanu, Phys. Rev. A 83, 044101 (2011)

    Article  ADS  Google Scholar 

  10. Y.W. Cheong, S.-W. Lee, Phys. Rev. Lett. 109, 150402 (2012)

    Article  ADS  Google Scholar 

  11. A.N. Korotkov, A.N. Jordan, Phys. Rev. Lett. 97, 166805 (2006)

    Article  ADS  Google Scholar 

  12. A.N. Jordan, A.N. Korotkov, Contemp. Phys. 51, 125 (2010)

    Article  ADS  Google Scholar 

  13. G.S. Paraoanu, Eur. Phys. Lett. 93, 64002 (2011)

    Article  ADS  Google Scholar 

  14. N. Katz et al., Phys. Rev. Lett. 101, 200401 (2008)

    Article  ADS  Google Scholar 

  15. Y.-S. Kim, Y.-W. Cho, Y.-S. Ra, Y.-H. Kim, Opt. Express 17, 11978 (2009)

    Article  ADS  Google Scholar 

  16. E. Andersson, D.K.L. Oi, Phys. Rev. A 77, 052104 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  17. J. Dressel, T.A. Brun, A.N. Korotkov, arXiv:1312.1319

  18. C.H. Bennett, H.J. Bernstein, S. Popescu, B. Schumacher, Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  19. P. Agrawal, A.K. Pati, Phys. Lett. A 305, 12 (2002)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  20. K. Halil-Shah, D.K.L. Oi, Proc. TQC 2013, LIPIcs 22, 1 (2013)

    MathSciNet  Google Scholar 

  21. J. Zhang, J. Vala, S. Sastry, K.B. Whaley, Phys. Rev. A 67, 042313 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  22. S. Bandyopadhyay, R. Jain, J. Oppenheim, C. Perry, Phys. Rev. A 89, 022336 (2014)

    Article  ADS  Google Scholar 

  23. D.K.L. Oi, V. Potocek, J. Jeffers, Phys. Rev. Lett. 110, 2010504 (2013)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. SUPA Department of Physics, University of Strathclyde, Glasgow, G4 0NG, UK

    Daniel K. L. Oi

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  1. Daniel K. L. Oi
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Correspondence to Daniel K. L. Oi.

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Oi, D.K.L. Unlearning quantum information. Eur. Phys. J. D 68, 259 (2014). https://doi.org/10.1140/epjd/e2014-50429-3

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  • DOI: https://doi.org/10.1140/epjd/e2014-50429-3

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