Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On distinguishing of non-signaling boxes via completely locality
  preserving operations   We consider discriminating between bipartite boxes with 2 binary inputs and 2
binary outputs (2x2) using the class of completely locality preserving
operations i.e. those, which transform boxes with local hidden variable model
(LHVM) into boxes with LHVM, and have this property even when tensored with
identity operation. Following approach developed in entanglement theory we
derive linear program which gives an upper bound on the probability of success
of discrimination between different isotropic boxes. In particular we provide
an upper bound on the probability of success of discrimination between
isotropic boxes with the same mixing parameter. As a counterpart of
entanglement monotone we use the non-locality cost. Discrimination is
restricted by the fact that non-locality cost does not increase under
considered class of operations. We also show that with help of allowed class of
operations one can distinguish perfectly any two extremal boxes in 2x2 case and
any local extremal box from any other extremal box in case of two inputs and
two outputs of arbitrary cardinalities.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math