# 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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