• Corpus ID: 33381024

Bayes + Hilbert = Quantum Mechanics

@article{Benavoli2016BayesH,
  title={Bayes + Hilbert = Quantum Mechanics},
  author={Alessio Benavoli and Alessandro Facchini and Marco Zaffalon},
  journal={arXiv: Quantum Physics},
  year={2016}
}
We consider the problem of gambling on a quantum experiment and enforce rational behaviour by a few rules. These rules yield, in the classical case, the Bayesian theory of probability via duality theorems. In our quantum setting, they yield the Bayesian theory generalised to the space of Hermitian matrices. This very theory is quantum mechanics: in fact, we derive all its four postulates from the generalised Bayesian theory. This implies that quantum mechanics is self-consistent. It also leads… 

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