Quantum collapse rules from the maximum relative entropy principle
Quantum Physics
2016-03-04 v4
Abstract
We show that the von Neumann--Lueders 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.
Cite
@article{arxiv.1407.7766,
title = {Quantum collapse rules from the maximum relative entropy principle},
author = {Frank Hellmann and Wojciech Kamiński and Ryszard Paweł Kostecki},
journal= {arXiv preprint arXiv:1407.7766},
year = {2016}
}
Comments
v2: some references added, improved presentation, result generalised to cover nonfaithful states; v3: cross-ref to arXiv:1408.3502 added, v4: some small corrections plus reference to a published version added