Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying non-Gaussianity of a quantum state by the negative entropy
  of quadrature distributions   We propose a non-Gaussianity measure of a multimode quantum state based on
the negentropy of quadrature distributions. Our measure satisfies desirable
properties as a non-Gaussianity measure, i.e., faithfulness, invariance under
Gaussian unitary operations, and monotonicity under Gaussian channels.
Furthermore, we find a quantitative relation between our measure and the
previously proposed non-Gaussianity measures defined via quantum relative
entropy and the quantum Hilbert-Schmidt distance. This allows us to estimate
the non-Gaussianity measures readily by homodyne detection, which would
otherwise require a full quantum-state tomography.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph