Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi non-Markovian approach to the study of decoherence of a
  controlled-not quantum gate in a chain of few nuclear spins quantum computer   We develop in the weak coupling approximation a quasi-non-Markovian master
equation and study the phenomenon of decoherence during the operation of a
controlled-not (CNOT) quantum gate in a quantum computer model formed by a
linear chain of three nuclear spins system with second neighbor Ising
interaction between them. We compare with the behavior of the Markovian
counterpart for temperature different from zero (thermalization) and at zero
temperature for low and high dissipation rates. At low dissipation there is a
very small difference between Markovian and quasi no-Markovian at any
temperature which is unlikely to be measured, and at high dissipation there is
a difference which is likely to be measured at any temperature.

12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga