Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monogamy inequality for any local quantum resource and entanglement   We derive a monogamy inequality for any local quantum resource and
entanglement. It results from the fact that there is always a convex measure
for a quantum resource, as shown here, and from the relation between
entanglement and local entropy. One of its consequences is an entanglement
monogamy different from that usually discussed. If the local resource is
nonuniformity or coherence, it is satisfied by familiar resource and
entanglement measures. The ensuing upper bound for the local coherence,
determined by the entanglement, is independent of the basis used to define the
coherence.

22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
7
The categories of this paper are: hep-th