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.
@article{arxiv.2302.07905,
title = {Isometric tensor network representations of two-dimensional thermal states},
author = {Wilhelm Kadow and Frank Pollmann and Michael Knap},
journal= {arXiv preprint arXiv:2302.07905},
year = {2023}
}