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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 |
| 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 |
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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.
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Received: 20 September 2025
Revised: 27 November 2025
Accepted manuscript online: 02 December 2025
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PACS:
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05.30.Fk
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(Fermion systems and electron gas)
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02.70.-c
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(Computational techniques; simulations)
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| Fund: Y.W. is supported by a startup grant from the IOP CAS. |
Corresponding Authors:
Yantao Wu
E-mail: yantaow@iphy.ac.cn
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Cite this article:
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 2026 Chin. Phys. B 35 020502
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