Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying necessary quantum resources for nonlocality   Nonlocality is one of the most important resources for quantum information
protocols. The observation of nonlocal correlations in a Bell experiment is the
result of appropriately chosen measurements and quantum states. We quantify the
minimal purity to achieve a certain Bell value for any Bell operator. Since
purity is the most fundamental resource of a quantum state, this enables us
also to quantify the necessary coherence, discord, and entanglement for a given
violation of two-qubit correlation inequalities. Our results shine new light on
the CHSH inequality by showing that for a fixed Bell violation an increase in
the measurement resources does not always lead to a decrease of the minimal
state resources.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin