Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An operational characterization of infinite-dimensional quantum
  resources   Recently, various non-classical properties of quantum states and channels
have been characterized through an advantage they provide in specific quantum
information tasks over their classical counterparts. Such advantage can be
typically proven to be quantitative, in that larger amounts of quantum
resources lead to better performance in the corresponding tasks. So far, these
characterizations have been established only in the finite-dimensional setting.
In this manuscript, we present a technique for extending the known results to
the infinite-dimensional regime. The technique relies on approximating
infinite-dimensional resource measures by their finite-dimensional
counterparts. We give a sufficient condition for the approximation procedure to
be tight, i.e. to match with established infinite-dimensional resource
quantifiers, and another sufficient condition for the procedure to match with
relevant extensions of these quantifiers. We show that various continuous
variable quantum resources fall under these conditions, hence, giving them an
operational interpretation through the advantage they can provide in so-called
quantum games. Finally, we extend the interpretation to the max relative
entropy in the infinite-dimensional setting.

3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex