Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive quantum metrology under general Markovian noise   We consider a general model of unitary parameter estimation in presence of
Markovian noise, where the parameter to be estimated is associated with the
Hamiltonian part of the dynamics. In absence of noise, unitary parameter can be
estimated with precision scaling as $1/T$, where $T$ is the total probing time.
We provide a simple algebraic condition involving solely the operators
appearing in the quantum Master equation, implying at most $1/\sqrt{T}$ scaling
of precision under the most general adaptive quantum estimation strategies. We
also discuss the requirements a quantum error-correction like protocol must
satisfy in order to regain the $1/T$ precision scaling in case the above
mentioned algebraic condition is not satisfied. Furthermore, we apply the
developed methods to understand fundamental precision limits in atomic
interferometry with many-body effects taken into account, shedding new light on
the performance of non-linear metrological models.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol