Introducing the Qplex: a novel arena for quantum theory

@article{Appleby2016IntroducingTQ,
  title={Introducing the Qplex: a novel arena for quantum theory},
  author={Marcus Appleby and Christopher A. Fuchs and Blake C. Stacey and Huangjun Zhu},
  journal={The European Physical Journal D},
  year={2016},
  volume={71},
  pages={1-28}
}
Abstract We reconstruct quantum theory starting from the premise that, as Asher Peres remarked, “Unperformed experiments have no results.” The tools of quantum information theory, and in particular the symmetric informationally complete (SIC) measurements, provide a concise expression of how exactly Peres’s dictum holds true. That expression is a constraint on how the probability distributions for outcomes of different, hypothetical and mutually exclusive experiments ought to mesh together, a… 
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