Quantum collapse rules from the maximum relative entropy principle

Hellmann, Frank; Kamiński, W.; Kostecki, R. P.

doi:10.1088/1367-2630/18/1/013022

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Quantum collapse rules from the maximum relative entropy principle

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Hellmann, Frank
External Organizations;

Kamiński, W.
Potsdam Institute for Climate Impact Research and Cooperation Partners;

Kostecki, R. P.
Potsdam Institute for Climate Impact Research and Cooperation Partners;

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Hellmann, F., Kamiński, W., Kostecki, R. P. (2016): Quantum collapse rules from the maximum relative entropy principle. - New Journal of Physics, 18, 13022.
https://doi.org/10.1088/1367-2630/18/1/013022

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We show that the von Neumann–Lüders collapse rules in quantum mechanics always select the unique state that maximises the quantum relative entropy with respect to the premeasurement state, subject to the constraint that the postmeasurement state has to be compatible with the knowledge gained in the measurement. This way we provide an information theoretic characterisation of quantum collapse rules by means of the maximum relative entropy principle.