Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All Entangled Quantum States Are Nonlocal   Departing from the usual paradigm of local operations and classical
communication adopted in entanglement theory, here we study the interconversion
of quantum states by means of local operations and shared randomness. A set of
necessary and sufficient conditions for the existence of such a transformation
between two given quantum states is given in terms of the payoff they yield in
a suitable class of nonlocal games. It is shown that, as a consequence of our
result, such a class of nonlocal games is able to witness quantum entanglement,
however weak, and reveal nonlocality in any entangled quantum state. An example
illustrating this fact is provided.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics