Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamically optimal creation of correlations   Correlations lie at the heart of almost all scientific predictions. It is
therefore of interest to ask whether there exist general limitations to the
amount of correlations that can be created at a finite amount of invested
energy. Within quantum thermodynamics such limitations can be derived from
first principles. In particular, it can be shown that establishing correlations
between initially uncorrelated systems in a thermal background has an energetic
cost. This cost, which depends on the system dimension and the details of the
energy-level structure, can be bounded from below but whether these bounds are
achievable is an open question. Here, we put forward a framework for studying
the process of optimally correlating identical (thermal) quantum systems. The
framework is based on decompositions into subspaces that each support only
states with diagonal (classical) marginals. Using methods from stochastic
majorisation theory, we show that the creation of correlations at minimal
energy cost is possible for all pairs of three- and four-dimensional quantum
systems. For higher dimensions we provide sufficient conditions for the
existence of such optimally correlating operations, which we conjecture to
exist in all dimensions.

6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc