Isometric tensor network representations of two-dimensional thermal states

• URL: http://arxiv.org/abs/2302.07905v2
• Date: Mon, 8 May 2023 10:36:30 GMT
• Title: Isometric tensor network representations of two-dimensional thermal states
• Authors: Wilhelm Kadow, Frank Pollmann, Michael Knap
• Abstract summary: We use the class of recently introduced tensor network states to represent thermal states of the transverse field Ising model. We find that this approach offers a different way with low computational complexity to represent states at finite temperatures.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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