Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global optimization of tensor renormalization group using the corner
  transfer matrix   A tensor network renormalization algorithm with global optimization based on
the corner transfer matrix is proposed. Since the environment is updated by the
corner transfer matrix renormalization group method, the forward-backward
iteration is unnecessary, which is a time-consuming part of other methods with
global optimization. In addition, a further approximation reducing the order of
the computational cost of contraction for the calculation of the coarse-grained
tensor is proposed. The computational time of our algorithm in two dimensions
scales as the sixth power of the bond dimension while the higher-order tensor
renormalization group and the higher-order second renormalization group methods
have the seventh power. We perform benchmark calculations in the Ising model on
the square lattice and show that the time-to-solution of the proposed algorithm
is faster than that of other methods.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th