Tensor renormalization group approach to entanglement entropy

2025/09/02 by Takahiro Hayazaki, Daisuke Kadoh, Hayazaki, Takahiro +5
Physics and Astronomy · Computer Science · #Quantum many-body systems #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2509.02185

Abstract

We propose a method to compute the entanglement entropy (EE) using the tensor renormalization group (TRG) method. The reduced density matrix of a d-dimensional quantum system is represented as a (d+1)-dimensional tensor network. We develop an explicit algorithm for d=1 that enables the calculation of EE for single-interval subsystems of arbitrary size. We test our method in two-dimensional tensor network of the Ising model. The central charge is obtained as c=0.49997(8) for D=96, which agrees with the theoretical prediction within an error, demonstrating the accuracy and reliability of our proposed method.

Citations

• Entanglement and Rényi entropies of (1+1)-dimensional O(3) nonlinear sigma model with tensor renormalization group
• Randomized higher-order tensor renormalization group
• Renormalization group on a triad network
• Phase structure analysis of CP(N-1) model using Tensor renormalization group
• Building up spacetime with quantum entanglement
• Particle creation by black holes

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• Entanglement and Rényi entropies of (1+1)-dimensional O(3) nonlinear sigma model with tensor renormalization group
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