Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric characterization of mixed quantum states   Characterization of mixed quantum states represented by density operator is
one of the most important task in quantum information processing. In this work
we will present a geometric approach to characterize the density operator in
terms of fiber bundle over a quantum phase space. The geometrical structure of
the quantum phase space of an isospectral mixed quantum states can be realized
as a co-adjoint orbit of a Lie group equipped with a specific K\"{a}hler
structure.
  In particular we will briefly discuss the construction of a fiber bundle over
the quantum phase space based on symplectic reduction and purification method.
We will also show that the map is a Riemannian submersion which enable us to
provide some applications of the geometric framework such as geometric phase
and quantum speed limit.

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org