Work

Isometric tensor network representations of two-dimensional thermal states

Year: 2023
Type: article
Abstract: Tensor networks provide a useful tool to describe low-dimensional complex many-body systems. Finding efficient algorithms to use these methods for finite-temperature simulations in two dimensions is a continuing challenge. Here, we use the class of recently introduced isometric tensor network states, which can also be directly realized with unitary gates on a quantum computer. We utilize a purification ansatz to efficiently represent thermal states of the transverse field Ising model. By performing an imaginary-time evolution starting from infinite temperature, we find that this approach offers a different way with low computational complexity to represent states at finite temperatures.
Language: English
Open Access status: green
OpenAlex ID: W4367849249
FWCI: 1.512
Cites: 44
Cited by: 13
Related to: 10