Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-object operational tasks for convex quantum resource theories   The prevalent modus operandi within the framework of quantum resource
theories has been to characterise and harness the resources within single
objects, in what we can call \emph{single-object} quantum resource theories.
One can wonder however, whether the resources contained within multiple
different types of objects, now in a \emph{multi-object} quantum resource
theory, can simultaneously be exploited for the benefit of an operational task.
In this work, we introduce examples of such multi-object operational tasks in
the form of subchannel discrimination and subchannel exclusion games, in which
the player harnesses the resources contained within a state-measurement pair.
We prove that for any state-measurement pair in which either of them is
resourceful, there exist discrimination and exclusion games for which such a
pair outperforms any possible free state-measurement pair. These results hold
for arbitrary convex resources of states, and arbitrary convex resources of
measurements for which classical post-processing is a free operation.
Furthermore, we prove that the advantage in these multi-object operational
tasks is determined, in a multiplicative manner, by the resource quantifiers
of: \emph{generalised robustness of resource} of both state and measurement for
discrimination games and \emph{weight of resource} of both state and
measurement for exclusion games.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn