Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Coding and the Cauchy-Schwarz Inequality   In classical coding, a single quantum state is encoded into classical
information. Decoding this classical information in order to regain the
original quantum state is known to be impossible. However, one can attempt to
construct a state which comes as close as possible. We give bounds on the
smallest possible trace distance between the original and the decoded state
which can be reached. We give two approaches to the problem: one starting from
Keyl and Werner's no-cloning theorem, and one starting from an operator-valued
Cauchy-Schwarz inequality.

20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math