Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum local asymptotic normality based on a new quantum likelihood
  ratio   We develop a theory of local asymptotic normality in the quantum domain based
on a novel quantum analogue of the log-likelihood ratio. This formulation is
applicable to any quantum statistical model satisfying a mild smoothness
condition. As an application, we prove the asymptotic achievability of the
Holevo bound for the local shift parameter.

32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg