Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metrics and pseudometrics on unitary groups with applications in quantum
  information processing   Metrics and pseudometrics are defined on the group of unitary operators in a
Hilbert space. Several explicit formulas are derived. A special feature of the
work is investigation of pseudometrics in unitary groups. The rich classes of
pseudometrics have many interesting applications. Three such applications,
distinguishibility of unitary operators, quantum coding and quantum search
problems are discussed.

9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th