Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling

doi:10.1088/1674-1056/ae2673

中国物理B ›› 2026, Vol. 35 ›› Issue (2): 20502-020502.doi: 10.1088/1674-1056/ae2673

Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling

Yantao Wu(武琰涛)^1,† and Zhehao Dai(戴哲昊)²

1 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 Department of Physics and Astronomy, University of Pittsburgh, PA 15213, USA

收稿日期:2025-09-20 修回日期:2025-11-27 接受日期:2025-12-02 出版日期:2026-01-21 发布日期:2026-02-10
通讯作者: Yantao Wu E-mail:yantaow@iphy.ac.cn

Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling

Yantao Wu(武琰涛)^1,† and Zhehao Dai(戴哲昊)²

1 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 Department of Physics and Astronomy, University of Pittsburgh, PA 15213, USA

Received:2025-09-20 Revised:2025-11-27 Accepted:2025-12-02 Online:2026-01-21 Published:2026-02-10
Contact: Yantao Wu E-mail:yantaow@iphy.ac.cn

摘要/Abstract

摘要： In recent years, variational Monte Carlo (VMC) calculations of projected entangled pair states (PEPS) have emerged as a competitive method for computing the ground states of many-body quantum systems. This approach is particularly important for fermionic systems, where sign problems are prevalent. We derive and explain the algorithms for VMC calculations of fermionic PEPS within the swap-gates formulation. As a separate key result, we prove the detailed balance for sequential sampling of tensor networks.

关键词: fermion systems and electron gas, computational techniques

Abstract: In recent years, variational Monte Carlo (VMC) calculations of projected entangled pair states (PEPS) have emerged as a competitive method for computing the ground states of many-body quantum systems. This approach is particularly important for fermionic systems, where sign problems are prevalent. We derive and explain the algorithms for VMC calculations of fermionic PEPS within the swap-gates formulation. As a separate key result, we prove the detailed balance for sequential sampling of tensor networks.

Key words: fermion systems and electron gas, computational techniques

中图分类号: (Fermion systems and electron gas)

05.30.Fk

02.70.-c (Computational techniques; simulations)

Yantao Wu(武琰涛) and Zhehao Dai(戴哲昊). Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling[J]. 中国物理B, 2026, 35(2): 20502-020502.

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Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling

Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling

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