Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operationally Invariant Measure of the Distance between Quantum States
  by Complementary Measurements   We propose an operational measure of distance of two quantum states, which
conversely tells us their closeness. This is defined as a sum of differences in
partial knowledge over a complete set of mutually complementary measurements
for the two states. It is shown that the measure is operationally invariant and
it is equivalent to the Hilbert-Schmidt distance. The operational measure of
distance provides a remarkable interpretation of the information distance
between quantum states.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg