Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Demystification of quantum entanglement   One of the crucial differences between mathematical models of classical and
quantum mechanics is the use of the tensor product of the state spaces of
subsystems as the state space of the corresponding composite system. (To
describe an ensemble of classical composite systems one uses random variables
taking values in the Cartesian product of the state spaces of subsystems.) We
show that, nevertheless, it is possible to establish a natural correspondence
between the classical and quantum probabilistic descriptions of composite
systems. Quantum averages for composite systems (including entangled) can be
represented as averages with respect to classical random fields. It is
essentially what Albert Einstein was dreamed of. Quantum mechanics is
represented as classical statistical mechanics with infinite-dimensional phase
space. While the mathematical construction is completely rigorous, its physical
interpretation is a complicated problem (which will not be discussed in this
paper).

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom