Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust Quantum Entanglement at (nearly) Room Temperature   We formulate a mixed-state analog of the NLTS conjecture [FH14] by asking
whether there exist topologically-ordered systems for which the thermal Gibbs
state for constant temperature is globally-entangled in the sense that it
cannot even be approximated by shallow quantum circuits. We then prove this
conjecture holds for nearly optimal parameters: when the "inverse temperature"
is almost a constant (temperature decays as 1/loglog(n))) and the Hamiltonian
is nearly local (log(n)-local). The construction and proof combine quantum
codes that arise from high-dimensional manifolds [Has17, LLZ19], the
local-decoding approach to quantum codes [LTZ15, FGL18] and quantum
locally-testable codes [AE15].

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc