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arXiv:2406.06193 · Physical review. E

Rényi entanglement entropy of a spin chain with generative neural networks

P. Białas, Piotr Korcyl, Tomasz Stebel, Dawid Zapolski

Published Oct 15, 2024• 5 citations
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Abstract

We describe a method to estimate Rényi entanglement entropy of a spin system which is based on the replica trick and generative neural networks with explicit probability estimation. It can be extended to any spin system or lattice field theory. We demonstrate our method on a one-dimensional quantum Ising spin chain. As the generative model, we use a hierarchy of autoregressive networks, allowing us to simulate up to 32 spins. We calculate the second Rényi entropy and its derivative and cross-check our results with the numerical evaluation of entropy and results available in the literature.

DOI
10.1103/physreve.110.044116

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