Corpus ID: 198977340

2 Bayes – Laplace and Jeffrey ’ s rules as entropic projections

@inproceedings{Kostecki20182B,
  title={2 Bayes – Laplace and Jeffrey ’ s rules as entropic projections},
  author={R. P. Kostecki},
  year={2018}
}

R. P. Kostecki

Published 2018

We prove that the standard quantum mechanical description of a quantum state change due to measurement, given by Lüders’ rules, is a special case of the constrained maximisation of a quantum relative entropy functional. This result is a quantum analogue of the derivation of the Bayes–Laplace rule as a special case of the constrained maximisation of relative entropy. The proof is provided for the Umegaki relative entropy of density operators over a Hilbert space as well as for the Araki relative… CONTINUE READING

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