Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithms for tensor network renormalization   We discuss in detail algorithms for implementing tensor network
renormalization (TNR) for the study of classical statistical and quantum
many-body systems. Firstly, we recall established techniques for how the
partition function of a 2D classical many-body system or the Euclidean path
integral of a 1D quantum system can be represented as a network of tensors,
before describing how TNR can be implemented to efficiently contract the
network via a sequence of coarse-graining transformations. The efficacy of the
TNR approach is then benchmarked for the 2D classical statistical and 1D
quantum Ising models; in particular the ability of TNR to maintain a high level
of accuracy over sustained coarse-graining transformations, even at a critical
point, is demonstrated.

0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an