Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The entropy power inequality for quantum systems   When two independent analog signals, X and Y are added together giving Z=X+Y,
the entropy of Z, H(Z), is not a simple function of the entropies H(X) and
H(Y), but rather depends on the details of X and Y's distributions.
Nevertheless, the entropy power inequality (EPI), which states that exp [2H(Z)]
\geq exp[2H(X)] + exp[2H(Y)], gives a very tight restriction on the entropy of
Z. This inequality has found many applications in information theory and
statistics. The quantum analogue of adding two random variables is the
combination of two independent bosonic modes at a beam splitter. The purpose of
this work is to give a detailed outline of the proof of two separate
generalizations of the entropy power inequality to the quantum regime. Our
proofs are similar in spirit to standard classical proofs of the EPI, but some
new quantities and ideas are needed in the quantum setting. Specifically, we
find a new quantum de Bruijin identity relating entropy production under
diffusion to a divergence-based quantum Fisher information. Furthermore, this
Fisher information exhibits certain convexity properties in the context of beam
splitters.

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin