Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Storing quantum dynamics in quantum states: stochastic programmable gate
  for U(1) operations   We show how quantum dynamics can be captured in the state of a quantum
system, in such a way that the system can be used to stochastically perform, at
a later time, the stored transformation perfectly on some other quantum system.
Thus programmable quantum gates for quantum information processing are feasible
if some probability of failure -that we show to decrease exponentially with the
size of the storing resources- is allowed.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
2
The categories of this paper are: math
7
The categories of this paper are: hep-th