Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Voronoi Diagrams for Quantum States and Its Application to a Numerical
  Estimation of a Quantum Channel Capacity   In quantum information theory, a geometric approach, known as "quantum
information geometry," has been considered as a powerful method. In this
thesis, we give a computational geometric interpretation to the geometric
structure of a quantum system. Especially we introduce the concept of the
Voronoi diagram and the smallest enclosing ball problem to the space of quantum
states. With those tools in computational geometry, we analyze the adjacency
structure of a point set in the quantum state space. Additionally, as an
application, we show an effective method to compute the capacity of a quantum
channel.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an