Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-consistent non-Markovian theory of a quantum state evolution for
  quantum information processing   It is shown that the operator sum representation for non-Markovian dynamics
and the Lindblad master equation in Markovian limit can be derived from a
formal solution to quantum Liouville equation for a qubit system in the
presence of decoherence processes self-consistently. Our formulation is the
first principle theory based on projection-operator formalism to obtain an
exact reduced density operator in time-convolutionless form starting from the
quantum Liouville equation for a noisy quantum computer. The advantage of our
approach is that it is general enough to describe a realistic quantum computer
in the presence of decoherence provided details of the Hamiltonians are known.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex