Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L\"uders' and quantum Jeffrey's rules as entropic projections   We prove that the standard quantum mechanical description of a quantum state
change due to measurement, given by Lueders' 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 entropy of normal states over a W*-algebra. We
also introduce a quantum analogue of Jeffrey's rule, derive it in the same way
as above, and discuss the meaning of these results for quantum bayesianism.

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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph