Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ultimate precision bound of quantum and sub-wavelength imaging   We determine the ultimate potential of quantum imaging for boosting the
resolution of a far-field, diffraction-limited, linear imaging device within
the paraxial approximation. First we show that the problem of estimating the
separation between two point-like sources is equivalent to the estimation of
the loss parameters of two lossy bosonic channels, i.e., the transmissivities
of two beam splitters. Using this representation, we establish the ultimate
precision bound for resolving two point-like sources in an arbitrary quantum
state, with a simple formula for the specific case of two thermal sources. We
find that the precision bound scales with the number of collected photons
according to the standard quantum limit. Then we determine the sources whose
separation can be estimated optimally, finding that quantum-correlated sources
(entangled or discordant) can be super-resolved at the sub-Rayleigh scale. Our
results set the upper bounds on any present or future imaging technology, from
astronomical observation to microscopy, which is based on quantum detection as
well as source engineering.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph