Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison of quantum channels and statistical experiments   For a pair of quantum channels with the same input space, we show that the
possibility of approximation of one channel by post-processings of the other
channel can be characterized by comparing the success probabilities for the two
ensembles obtained as outputs for any ensemble on the input space coupled with
an ancilla. This provides an operational interpretation to a natural extension
of Le Cam's deficiency to quantum channels. In particular, we obtain a version
of the randomization criterion for quantum statistical experiments. The proofs
are based on some properties of the diamond norm and its dual, which are of
independent interest.

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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio