Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding the interplay of entanglement and nonlocality: motivating
  and developing a new branch of entanglement theory   A standard approach to quantifying resources is to determine which operations
on the resources are freely available, and to deduce the partial order over
resources that is induced by the relation of convertibility under the free
operations. If the resource of interest is the nonclassicality of the
correlations embodied in a quantum state, i.e., entanglement, then the common
assumption is that the appropriate choice of free operations is Local
Operations and Classical Communication (LOCC). We here advocate for the study
of a different choice of free operations, namely, Local Operations and Shared
Randomness (LOSR), and demonstrate its utility in understanding the interplay
between the entanglement of states and the nonlocality of the correlations in
Bell experiments. Specifically, we show that the LOSR paradigm (i) provides a
resolution of the anomalies of nonlocality, wherein partially entangled states
exhibit more nonlocality than maximally entangled states, (ii) entails new
notions of genuine multipartite entanglement and nonlocality that are free of
the pathological features of the conventional notions, and (iii) makes possible
a resource-theoretic account of the self-testing of entangled states which
generalizes and simplifies prior results. Along the way, we derive some
fundamental results concerning the necessary and sufficient conditions for
convertibility between pure entangled states under LOSR and highlight some of
their consequences, such as the impossibility of catalysis for bipartite pure
states. The resource-theoretic perspective also clarifies why it is neither
surprising nor problematic that there are mixed entangled states which do not
violate any Bell inequality. Our results motivate the study of
LOSR-entanglement as a new branch of entanglement theory.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph