Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perfect Quantum Error-Correcting Condition Revisited   A simple and unifying method to show the perfect error-correcting condition
is provided based on the quantum mutual information. The one-to-one
parameterization of quantum operations and the properties of the quantum
relative entropy are used effectively in this paper, where the equivalence
between the subspace transmission and the entanglement transmission is clearly
presented. We also revisit a variant of the no-cloning and no-deleting theorem
based on an information-theoretical tradeoff between two parties for the
reversibility of quantum operations, and demonstrate that the no-cloning and
no-deleting theorem leads to the perfect error-correcting condition on Kraus
operators.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex