Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum error correction and entanglement spectrum in tensor networks   A sort of planar tensor networks with tensor constraints is investigated as a
model for holography. We study the greedy algorithm generated by tensor
constraints and propose the notion of critical protection (CP) against the
action of greedy algorithm. For given tensor constraints, a CP tensor chain can
be defined. We further find that the ability of quantum error correction (QEC),
the non-flatness of entanglement spectrum (ES) and the correlation function can
be quantitatively evaluated by the geometric structure of CP tensor chain. Four
classes of tensor networks with different properties of entanglement is
discussed. Thanks to tensor constraints and CP, the correlation function is
reduced into a bracket of Matrix Production State and the result agrees with
the one in conformal field theory.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an