Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic Renyi Entropy from Quantum Error Correction   We study Renyi entropies $S_n$ in quantum error correcting codes and compare
the answer to the cosmic brane prescription for computing $\widetilde{S}_n
\equiv n^2 \partial_n (\frac{n-1}{n} S_n)$. We find that general operator
algebra codes have a similar, more general prescription. Notably, for the
AdS/CFT code to match the specific cosmic brane prescription, the code must
have maximal entanglement within eigenspaces of the area operator. This gives
us an improved definition of the area operator, and establishes a stronger
connection between the Ryu-Takayanagi area term and the edge modes in lattice
gauge theory. We also propose a new interpretation of existing holographic
tensor networks as area eigenstates instead of smooth geometries. This
interpretation would explain why tensor networks have historically had trouble
modeling the Renyi entropy spectrum of holographic CFTs, and it suggests a
method to construct holographic networks with the correct spectrum.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg