Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of symmetric monotone metrics on the state space of
  quantum systems   The quantum Fisher information is a Riemannian metric, defined on the state
space of a quantum system, which is symmetric and decreasing under stochastic
mappings. Contrary to the classical case such a metric is not unique. We
complete the characterization, initiated by Morozova, Chentsov and Petz, of
these metrics by providing a closed and tractable formula for the set of
Morozova-Chentsov functions. In addition, we provide a continuously increasing
bridge between the smallest and largest symmetric monotone metrics.

1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an