Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal form of the Kretschmann-Schlingemann-Werner theorem for
  energy-constrained quantum channels and operations   It is proved that the energy-constrained Bures distance between arbitrary
infinite-dimensional quantum channels is equal to the operator E-norm distance
from any given Stinespring isometry of one channel to the set of all
Stinespring isometries of another channel with the same environment.
  The same result is shown to be valid for arbitrary quantum operations.

5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas