Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How quantum nonlocality without entanglement witnesses classical
  processes without causal order   We show a correspondence between quantum nonlocality without entanglement and
logically consistent classical processes without causal order. Three parties
with access to a noncausal classical process -- the AF/BW process -- can
perfectly discriminate the states in an ensemble -- the SHIFT ensemble --
exhibiting quantum nonlocality without entanglement, something impossible with
local operations and classical communication (LOCC): The LOCC restriction
implicitly assumes causal classical communication. This provides an operational
interpretation of the AF/BW process as a noncausal information-theoretic
resource. From a foundational perspective, this means that the ability to
perfectly discriminate quantum states in the SHIFT ensemble via local
operations and classical communication would serve as an operational witness of
noncausality. We then generalize our result to show how any Boolean classical
process without global past can be transformed to an ensemble of states that
exhibits quantum nonlocality without entanglement. Since multipartite
generalizations of the AF/BW process are known, this yields novel multiqubit
ensembles of quantum nonlocality without entanglement, which is of independent
interest.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ