Information Invariance and Quantum Probabilities

@article{Brukner2009InformationIA,
  title={Information Invariance and Quantum Probabilities},
  author={{\vC}aslav Brukner and Anton Zeilinger},
  journal={Foundations of Physics},
  year={2009},
  volume={39},
  pages={677-689}
}
We consider probabilistic theories in which the most elementary system, a two-dimensional system, contains one bit of information. The bit is assumed to be contained in any complete set of mutually complementary measurements. The requirement of invariance of the information under a continuous change of the set of mutually complementary measurements uniquely singles out a measure of information, which is quadratic in probabilities. The assumption which gives the same scaling of the number of… 
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