Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Dynamics as an analog of Conditional Probability   Quantum theory can be regarded as a non-commutative generalization of
classical probability. From this point of view, one expects quantum dynamics to
be analogous to classical conditional probabilities. In this paper, a variant
of the well-known isomorphism between completely positive maps and bipartite
density operators is derived, which makes this connection much more explicit.
The new isomorphism is given an operational interpretation in terms of
statistical correlations between ensemble preparation procedures and outcomes
of measurements. Finally, the isomorphism is applied to elucidate the
connection between no-cloning/no-broadcasting theorems and the monogamy of
entanglement, and a simplified proof of the no-broadcasting theorem is obtained
as a byproduct.

32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg