The Born Rule as Dutch-Book Coherence (and only a little more)

  title={The Born Rule as Dutch-Book Coherence (and only a little more)},
  author={John Debrota and Christopher A. Fuchs and Jacques L. Pienaar and Blake C. Stacey},
The subjective Bayesian interpretation of probability asserts that the rules of the probability calculus follow from the normative principle of Dutch-book coherence: A decision-making agent should not assign probabilities such that a series of monetary transactions based on those probabilities would lead them to expect a sure loss. Similarly, the subjective Bayesian interpretation of quantum mechanics (QBism) asserts that the Born rule is a normative rule in analogy to Dutch-book coherence, but… 
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Quantum states and generalized observables: a simple proof of Gleason's theorem.
  • P. Busch
  • Physics
    Physical review letters
  • 2003
A simple proof of the result, analogous to Gleason's theorem, that any quantum state is given by a density operator, and a von Neumann-type argument against noncontextual hidden variables is obtained.
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