Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Brukner-Zeilinger approach to information in quantum measurements   We address the problem of properly quantifying information in quantum theory.
Brukner and Zeilinger proposed the concept of an operationally invariant
measure based on measurement statistics. Their measure of information is
calculated with probabilities generated in a complete set of mutually
complementary observations. This approach was later criticized for several
reasons. We show that some critical points can be overcome by means of natural
extension or reformulation of the Brukner-Zeilinger approach. In particular,
this approach is connected with symmetric informationally complete
measurements. The "total information" of Brukner and Zeilinger can further be
treated in the context of mutually unbiased measurements as well as general
symmetric informationally complete measurements. The Brukner-Zeilinger measure
of information is also examined in the case of detection inefficiencies. It is
shown to be decreasing under the action of bistochastic maps. The
Brukner-Zeilinger total information can be used for estimating the map norm of
quantum operations.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs