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arXiv · 1801.01678

Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis

Yusuke Tomita
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Abstract

We introduce a method to measure the entanglement entropy using a wavelet analysis. In the method we perform the two-dimensional Haar wavelet transform of configuration of Fortuin-Kasteleyn (FK) clusters. The configuration represents a direct snapshot of spin-spin correlations since spin degrees of freedom are traced out in FK representation. A snapshot of FK clusters loses image information at each coarse-graining process by the wavelet transform. We show that the loss of image information measures the entanglement entropy in the Potts model.

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Yusuke Tomita. 2018-01-05. Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis. https://doi.org/10.1103/physreve.97.052128

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