Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimization at the boundary of the tensor network variety   Tensor network states form a variational ansatz class widely used, both
analytically and numerically, in the study of quantum many-body systems. It is
known that if the underlying graph contains a cycle, e.g. as in projected
entangled pair states (PEPS), then the set of tensor network states of given
bond dimension is not closed. Its closure is the tensor network variety. Recent
work has shown that states on the boundary of this variety can yield more
efficient representations for states of physical interest, but it remained
unclear how to systematically find and optimize over such representations. We
address this issue by defining a new ansatz class of states that includes
states at the boundary of the tensor network variety of given bond dimension.
We show how to optimize over this class in order to find ground states of local
Hamiltonians by only slightly modifying standard algorithms and code for tensor
networks. We apply this new method to a different of models and observe
favorable energies and runtimes when compared with standard tensor network
methods.

25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an