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@ARTICLE{DeRaedt:860820,
      author       = {De Raedt, Hans and Katsnelson, Mikhail I. and Willsch,
                      Dennis and Michielsen, Kristel},
      title        = {{S}eparation of conditions as a prerequisite for quantum
                      theory},
      journal      = {Annals of physics},
      volume       = {403},
      issn         = {0003-4916},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier},
      reportid     = {FZJ-2019-01475},
      pages        = {112-135},
      year         = {2019},
      abstract     = {We introduce the notion of “separation of conditions”
                      meaning that a description of statistical data obtained from
                      experiments, performed under a set of different conditions,
                      allows for a decomposition such that each partial
                      description depends on mutually exclusive subsets of these
                      conditions. Descriptions that allow a separation of
                      conditions are shown to entail the basic mathematical
                      framework of quantum theory. The Stern-Gerlach and the
                      Einstein–Podolsky–Rosen-Bohm experiment with three,
                      respectively nine possible outcomes are used to illustrate
                      how the separation of conditions can be used to construct
                      their quantum theoretical descriptions. It is shown that the
                      mathematical structure of separated descriptions implies
                      that, under certain restrictions, the time evolution of the
                      data can be described by the von Neumann/Schrödinger
                      equation.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / PhD no Grant - Doktorand ohne besondere
                      Förderung (PHD-NO-GRANT-20170405)},
      pid          = {G:(DE-HGF)POF3-511 / G:(DE-Juel1)PHD-NO-GRANT-20170405},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000462808600009},
      doi          = {10.1016/j.aop.2019.01.012},
      url          = {https://juser.fz-juelich.de/record/860820},
}