Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper bounds on the Holevo Cram\'er-Rao bound for multiparameter quantum
  parametric and semiparametric estimation   We formulate multiparameter quantum estimation in the parametric and
semiparametric setting. While the Holevo Cram\'er-Rao bound (CRB) requires no
substantial modifications in moving from the former to the latter, we
generalize the Helstrom CRB appropriately. We show that the Holevo CRB cannot
be greater than twice the generalized Helstrom CRB. We also present a tighter,
intermediate, bound. Finally, we show that for parameters encoded in the first
moments of a Gaussian state there always exists a Gaussian measurement that
gives a classical Fisher information matrix that is one-half of the quantum
Fisher information matrix.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th