Quantum mechanics as a noncommutative representation of classical conditional probabilities

@article{HoferSzabo2019QuantumMA,
  title={Quantum mechanics as a noncommutative representation of classical conditional probabilities},
  author={G'abor Hofer-Szab'o},
  journal={Journal of Mathematical Physics},
  year={2019}
}
The aim of this paper is to analyze the reconstructability of quantum mechanics from classical conditional probabilities representing measurement outcomes conditioned on measurement choices. We will investigate how the quantum mechanical representation of classical conditional probabilities is situated within the broader frame of noncommutative representations. To this goal, we adopt some parts of the quantum formalism and ask whether empirical data can constrain the rest of the representation… 

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