Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leaks: quantum, classical, intermediate, and more   We introduce the notion of a leak for general process theories, and identify
quantum theory as a theory with minimal leakage, while classical theory has
maximal leakage. We provide a construction that adjoins leaks to theories, an
instance of which describes the emergence of classical theory by adjoining
decoherence-leaks to quantum theory. Finally, we show that defining a notion of
purity for processes in general process theories has to make reference to the
leaks of that theory ---a feature missing in standard definitions--- hence, we
propose a refined definition and study the resulting notion of purity for
quantum, classical and intermediate theories.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys