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The data aggregation problem in quantum hypothesis testing

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Abstract

We discuss the implications of quantum-classical Yule-Simpson effect for quantum hypothesis testing in the presence of noise, and provide an experimental demonstration of its occurrence in the problem of discriminating which polarization quantum measurement has been actually performed by a detector box designed to measure linear polarization of single-photon states along a fixed but unknown direction.

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References

  1. E.H. Simpson, J. Roy. Stat. Soc. B 13, 238 (1951)

    MATH  Google Scholar 

  2. C.R. Blyth, J. Am. Stat. Ass. 67, 364 (1972)

    Article  MATH  MathSciNet  Google Scholar 

  3. P.J. Bickel, E.A. Hammel, J.W. O’Connell, Science 187, 398 (1975)

    Article  ADS  Google Scholar 

  4. P.S. Bandyopadhyay, D. Nelson, M. Greenwood, G. Brittan, J. Berwald, Synthese 182, 185 (2011)

    Article  MathSciNet  Google Scholar 

  5. M.G.A. Paris, J. Phys. A 45, 132001 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  6. Y.L. Li, J.S. Tang, Y.T. Wang, Y.C. Wu, J.Y. Han, C. F. Li, G.C. Guo, Y. Yu, M.F. Li, G.W. Zha, Phys. Rev. A 88, 015804 (2013)

    Article  ADS  Google Scholar 

  7. Y. Shi, arXiv:1203.2675 (2012)

  8. M.G.A. Paris, Eur. Phys. J. ST 203, 61 (2012)

    Article  Google Scholar 

  9. D. Brivio, S. Cialdi, S. Vezzoli, B. Teklu, M.G. Genoni, S. Olivares, M.G.A. Paris, Phys. Rev. A 81, 012315 (2010)

    Article  ADS  Google Scholar 

  10. M.G. Genoni, S. Olivares, D. Brivio, S. Cialdi, D. Cipriani, A. Santamato, S. Vezzoli, M.G.A. Paris, Phys. Rev. A 85, 043817 (2012)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica dell’Università degli Studi di Milano, 20133, Milano, Italia

    Simone Cialdi & Matteo G. A. Paris

  2. Sezione di Milano, INFN, 20133, Milano, Italy

    Simone Cialdi

  3. UdR Milano Statale, CNISM, 20133, Milano, Italy

    Matteo G. A. Paris

Authors
  1. Simone Cialdi
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  2. Matteo G. A. Paris
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Correspondence to Matteo G. A. Paris.

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Cialdi, S., Paris, M.G.A. The data aggregation problem in quantum hypothesis testing. Eur. Phys. J. D 69, 7 (2015). https://doi.org/10.1140/epjd/e2014-50425-7

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  • DOI: https://doi.org/10.1140/epjd/e2014-50425-7

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