Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of characteristics of composite quantum systems: a review   General methods of quantitative and qualitative continuity analysis of
characteristics of composite quantum systems are described. Several
modifications of the Alicki-Fannes-Winter method are considered, which make it
applicable to a wide class of characteristics in both finite-dimensional and
infinite-dimensional cases. A new approximation method for obtaining local
continuity conditions for various characteristics of quantum systems is
proposed and described in detail. This method allows us to prove several
general results (Simon-type dominated convergence theorem, the theorem about
preserving continuity under convex mixtures, etc.).
  Uniform continuity bounds and local continuity conditions for basic
characteristics of composite quantum systems are presented. Along with the
results obtained earlier by different authors, a number of new results proved
by the proposed methods are described.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs