Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kramers-Kronig relations and precision limits in quantum phase
  estimation   The ultimate precision in any measurement is dictated by the physical process
implementing the observation. The methods of quantum metrology have now
succeeded in establishing bounds on the achievable precision for phase
measurements over noisy channels. In particular, they demonstrate how the
Heisenberg scaling of the precision can not be attained in these conditions.
Here we discuss how the ultimate bound in presence of loss has a physical
motivation in the Kramers-Kronig relations and we show how they link the
precision on the phase estimation to that on the loss parameter.

12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th