Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Subdivision Capacities and Continuous-time Quantum Coding   Quantum memories can be regarded as quantum channels that transmit
information through time without moving it through space. Aiming at a reliable
storage of information we may thus not only encode at the beginning and decode
at the end, but also intervene during the transmission - a possibility not
captured by the ordinary capacities in Quantum Shannon Theory. In this work we
introduce capacities that take this possibility into account and study them in
particular for the transmission of quantum information via dynamical semigroups
of Lindblad form. When the evolution is subdivided and supplemented by
additional continuous semigroups acting on arbitrary block sizes, we show that
the capacity of the ideal channel can be obtained in all cases. If the
supplementary evolution is reversible, however, this is no longer the case.
Upper and lower bounds for this scenario are proven. Finally, we provide a
continuous coding scheme and simple examples showing that adding a purely
dissipative term to a Liouvillian can sometimes increase the quantum capacity.

22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph