Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sufficiency in quantum statistical inference. A survey with examples   This paper attempts to give an overview about sufficiency in the setting of
quantum statistics. The basic concepts are treated paralelly to the the measure
theoretic case. It turns out that several classical examples and results have a
non-commutative analogue. Some of the results are presented without proof (but
with exact references) and the presentation is intended to be self-contained.
The main examples discussed in the paper are related the Weyl algebra and to
the exponential family of states. The characterization of sufficiency in terms
of quantum Fisher information is a new result.

6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th