Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All entangled states are quantum coherent with locally distinguishable
  bases   We find that a bipartite quantum state is entangled if and only if it is
quantum coherent with respect to complete bases of states in the corresponding
system that are distinguishable under local quantum operations and classical
communication. The corresponding minimal quantum coherence is the entanglement
of formation. Connections to the relative entropy of entanglement and quantum
coherence, and generalizations to the multiparty case are also considered.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph