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<p>We propose a method to compute the entanglement entropy (EE) using the tensor renormalization group (TRG) method. The reduced density matrix of a <i>d</i>-dimensional quantum system is represented as a (<i>d</i> + 1)-dimensional tensor network. We develop an explicit algorithm for <i>d</i> = 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 <i>c</i> = 0<i>.</i>49997(8) for <i>D</i> = 96, which agrees with the theoretical prediction within an error, demonstrating the accuracy and reliability of our proposed method.</p>

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Tensor renormalization group approach to entanglement entropy

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月2日

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  • Takahiro Hayazaki,
  • Daisuke Kadoh,
  • Shinji Takeda,
  • Gota Tanaka

摘要

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.