Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative entropy close to the edge   We show that the relative entropy between the reduced density matrix of the
vacuum state in some region $A$ and that of an excited state created by a
unitary operator localized at a small distance $\ell$ of a boundary point $p$
is insensitive to the global shape of $A$, up to a small correction. This
correction tends to zero as $\ell/R$ tends to zero, where $R$ is a measure of
the curvature of $\partial A$ at $p$, but at a rate necessarily slower than
$\sim \sqrt{\ell/R}$ (in any dimension). Our arguments are mathematically
rigorous and only use model-independent, basic assumptions about quantum field
theory such as locality and Poincare invariance.

26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin