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Read the fine print

New quantum algorithms promise an exponential speed-up for machine learning, clustering and finding patterns in big data. But to achieve a real speed-up, we need to delve into the details.

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  1. Shor, P. W. SIAM J. Comput. 26, 1484–1509 (1997).

    Article  MathSciNet  Google Scholar 

  2. Harrow, A. W., Hassidim, A. & Lloyd, S. Phys. Rev. Lett. 103, 150502 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  3. Childs, A. M. Nature Phys. 5, 861 (2009).

    Article  ADS  Google Scholar 

  4. Berry, D. W., Childs, A. M., Cleve, R., Kothari, R. & Somma, R. D. Phys. Rev. Lett. 114, 090502 (2015).

    Article  ADS  Google Scholar 

  5. Clader, B. D., Jacobs, B. C. & Sprouse, C. R. Phys.Rev. Lett. 110, 250504 (2013).

    Article  ADS  Google Scholar 

  6. Wang, G. Preprint at (2013).

  7. Lloyd, S., Mohseni, M. & Rebentrost, P. Preprint at (2013).

  8. Lloyd, S., Mohseni, M. & Rebentrost, P. Nature Phys. 10, 631–633 (2014).

    Article  ADS  Google Scholar 

  9. Rebentrost, P., Mohseni, M. & Lloyd, S. Phys. Rev. Lett. 113, 130503 (2014).

    Article  ADS  Google Scholar 

  10. Wiebe, N., Braun, D. & Lloyd, S. Phys. Rev. Lett. 109, 050505 (2012).

    Article  ADS  Google Scholar 

  11. Garnerone, S., Zanardi, P. & Lidar, D. A. Phys. Rev. Lett. 108, 230506 (2012).

    Article  ADS  Google Scholar 

  12. Aaronson, S. Preprint at (2009).

  13. Aaronson, S. & Ambainis, A. Preprint at (2014).

  14. Lloyd, S., Garnerone, S. & Zanardi, P. Preprint at (2014).

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Correspondence to Scott Aaronson.

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Aaronson, S. Read the fine print. Nature Phys 11, 291–293 (2015).

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