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arXiv · 2302.07905

Isometric tensor network representations of two-dimensional thermal states

Wilhelm Kadow·Frank Pollmann·Michael Knap
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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.

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Wilhelm Kadow, Frank Pollmann, Michael Knap. 2023-02-15. Isometric tensor network representations of two-dimensional thermal states. https://doi.org/10.1103/physrevb.107.205106

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