Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the impossibility of distilling Gaussian states with Gaussian
  operations   We show that no distillation protocol for Gaussian quantum states exists that
relies on (i) arbitrary local unitary operations that preserve the Gaussian
character of the state and (ii) homodyne detection together with classical
communication and postprocessing by means of local Gaussian unitary operations
on two symmetric identically prepared copies. This is in contrast to the
finite-dimensional case, where entanglement can be distilled in an iterative
protocol using two copies at a time. The ramifications for the distribution of
Gaussian states over large distances will be outlined. We also comment on the
generality of the approach and sketch the most general form of a Gaussian local
operation with classical communication in a bipartite setting.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat