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Author Correction: Solving the Hubbard model with neural quantum states.

A correction to this paper has been published: the notice, 42331803, from Europe PMC.

Code ↔ Paper

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Paper

Loaded from Europe PMC by your browser; OSCR does not store it: doi.org · Europe PMC

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The authors' code

Shell · 77 lines · 1.2 KB · MIT

  1. python main.py \
  2. --output outputs/alter/12_12_N144_U8_pbc/tensor_U3\
  3. --L1 12\
  4. --L2 12\
  5. --particles 144\
  6. --U 3\
  7. --t2 0.4\
  8. --model hubbard_alter\
  9. --steps 5000\
  10. --network_name tensor\
  11. --boundary1 pbc\
  12. --boundary2 pbc\
  13. --save_frequency 5000\
  14. --use_x64\
  15. --mcmc_step 360\
  16. --mode adam\
  17. --lr 5e-2\
  18. --ndet 1 \
  19. --reduce 500\
  20. --seed 100\
  21. --batchsize 4096\
  22. --fast_update
  24. python main.py \
  25. --restore outputs/alter/12_12_N144_U8_pbc/tensor_U3\
  26. --restore_ndet 1\
  27. --output outputs/alter/12_12_N144_U8_pbc/ace\
  28. --L1 12\
  29. --L2 12\
  30. --particles 144\
  31. --U 8\
  32. --t2 0.4\
  33. --model hubbard_alter\
  34. --steps 50000\
  35. --network_name ace\
  36. --boundary1 pbc\
  37. --boundary2 pbc\
  38. --save_frequency 5000\
  39. --use_x64\
  40. --mcmc_step 360\
  41. --mode march\
  42. --norm 1e-1\
  43. --lr_start 1000\
  44. --lr0 4000\
  45. --ndet 1 \
  46. --hidden 144\
  47. --layers 16\
  48. --reduce 500\
  49. --seed 100\
  50. --precision tf32\
  51. --batchsize 4096
  55. python main.py \
  56. --output outputs/alter/12_12_N144_U8_pbc/ace\
  57. --L1 12\
  58. --L2 12\
  59. --particles 144\
  60. --U 8\
  61. --t2 0.4\
  62. --model hubbard_alter\
  63. --steps 5000\
  64. --network_name ace\
  65. --boundary1 pbc\
  66. --boundary2 pbc\
  67. --use_x64\
  68. --mcmc_step 200\
  69. --mode test\
  70. --obs fermi\
  71. --ndet 1 \
  72. --hidden 144\
  73. --layers 16\
  74. --reduce 2000\
  75. --seed 100\
  76. --precision tf32\
  77. --batchsize 4096

12x12_pbc_U8_ace.sh at commit c6a3ee5, under MIT · at the source

Overview

Authors: Yuntian Gu1,2, Wenrui Li1,2, Heng Lin2,3, Bo Zhan2,4, Ruichen Li1,2, Yifei Huang2, Di He1, Yantao Wu4, Tao Xiang4, Mingpu Qin5, Liwei Wang1, Dingshun Lv2,6
ORCID iDs: Yuntian Gu, Ruichen Li, Yifei Huang, Di He, Tao Xiang, Liwei Wang
  1. State Key Laboratory of General Artificial Intelligence, School of Intelligence Science and Technology, Peking University, Beijing, China
  2. ByteDance Seed, Beijing, China
  3. State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, China
  4. Institute of Physics, Chinese Academy of Sciences, Beijing, China
  5. Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, China
  6. FieldQuantum Research Institute, Beijing, China
Institutions: Peking University (China); ByteDance (China) (China); State Key Laboratory of Low-Dimensional Quantum Physics (China); Tsinghua University (China); Chinese Academy of Sciences (China); Institute of Physics (China); Shanghai Jiao Tong University (China)
Journal: Nature communications, volume 17, issue 1, article 11000
Dates: published online 21 October 2026
Type: Correction · Language: English
License: CC BY-NC-ND
Identifiers: DOI 10.1038/s41467-026-79114-3 · PMID 42907467 · PMCID PMC13686967 · OpenAlex W7223138290
Open access: gold, a free copy (OpenAlex)
Status: code verified (how the code is found and verified)
Keywords: Computational science, Electronic properties and materials, Quantum physics
Topic: Quantum Computing Algorithms and Architecture (Artificial Intelligence, Computer Science), according to OpenAlex
Citations: not cited yet (Europe PMC); 0 references in the paper
Notices: A correction to this paper has been published (42331803, from Europe PMC)

Abstract

No abstract was found for this paper: the paper, at the publisher.

Repositories

Its files are read in the Code ↔ Paper reader above.

codeocean:8740417

License: none: the authors keep all their rights
State: cannot be verified, verified on 25 October 2026
Evidence: found in the paper
Software Heritage: not checked
Found in: the text
Not found: README, license file, CITATION.cff, environment file, tests, continuous integration, documentation
Availability: 1 check, the latest on 25 October 2026: cannot be verified
  • 25 October 2026: cannot be verified
At the source: codeocean.com/capsule/8740417/tree/v1

bytedance/laqx

License: MIT
State: the link answers, verified on 25 October 2026
Evidence: files inventoried
Commit: c6a3ee5ed889073fdaa7debd32a001ffd72314de, 14 September 2026
Languages: Python (42), Shell (8), JavaScript (1)
Size: 81 files, 51 scripts
Software Heritage: not archived
Found in: the text
Holds: README, license file, environment (constraints.txt, requirements-docs.txt, requirements.txt), continuous integration, documentation
Not found: CITATION.cff, tests
Tools: JAX (37 files), NumPy (17 files)
Availability: 1 check, the latest on 25 October 2026: the link answers
  • 25 October 2026: the link answers
53 files
At the source: github.com/bytedance/laqx

Tracing map

Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.

What the map holds:

  • 2 repositories of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
  • 51 scripts, each with its path and the digest of its content;
  • no match between paragraphs and code yet;
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Data

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Versions

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Version 1, 25 October 2026: the first record

Recorded: type, language, journal, volume, issue, pages, dates, 12 authors, 3 keywords, 0 references, 1 integrity notice.

Cite

This paper

Gu, Y., Li, W., Lin, H., Zhan, B., Li, R., Huang, Y., He, D., Wu, Y., Xiang, T., Qin, M., Wang, L., & Lv, D. (2026). Author Correction: Solving the Hubbard model with neural quantum states. Nature communications, 17(1), 11000. https://doi.org/10.1038/s41467-026-79114-3

BibTeX

@article{gu2026author,
author = {Gu, Yuntian and Li, Wenrui and Lin, Heng and Zhan, Bo and Li, Ruichen and Huang, Yifei and He, Di and Wu, Yantao and Xiang, Tao and Qin, Mingpu and Wang, Liwei and Lv, Dingshun},
title = {{Author Correction: Solving the Hubbard model with neural quantum states}},
journal = {Nature communications},
year = {2026},
month = oct,
volume = {17},
number = {1},
pages = {11000},
publisher = {Nature Publishing Group},
issn = {2041-1723},
doi = {10.1038/s41467-026-79114-3},
url = {https://doi.org/10.1038/s41467-026-79114-3},
pmid = {42907467},
pmcid = {PMC13686967}
}

RIS

TY - JOUR
AU - Gu, Yuntian
AU - Li, Wenrui
AU - Lin, Heng
AU - Zhan, Bo
AU - Li, Ruichen
AU - Huang, Yifei
AU - He, Di
AU - Wu, Yantao
AU - Xiang, Tao
AU - Qin, Mingpu
AU - Wang, Liwei
AU - Lv, Dingshun
TI - Author Correction: Solving the Hubbard model with neural quantum states
T2 - Nature communications
J2 - Nat Commun
PY - 2026
DA - 2026/10/21
VL - 17
IS - 1
SP - 11000
SN - 2041-1723
PB - Nature Publishing Group
DO - 10.1038/s41467-026-79114-3
UR - https://doi.org/10.1038/s41467-026-79114-3
LA - en
ER -

CSL-JSON

{
"id": "10.1038/s41467-026-79114-3",
"type": "article-journal",
"title": "Author Correction: Solving the Hubbard model with neural quantum states",
"container-title": "Nature communications",
"author": [
{
"family": "Gu",
"given": "Yuntian"
},
{
"family": "Li",
"given": "Wenrui"
},
{
"family": "Lin",
"given": "Heng"
},
{
"family": "Zhan",
"given": "Bo"
},
{
"family": "Li",
"given": "Ruichen"
},
{
"family": "Huang",
"given": "Yifei"
},
{
"family": "He",
"given": "Di"
},
{
"family": "Wu",
"given": "Yantao"
},
{
"family": "Xiang",
"given": "Tao"
},
{
"family": "Qin",
"given": "Mingpu"
},
{
"family": "Wang",
"given": "Liwei"
},
{
"family": "Lv",
"given": "Dingshun"
}
],
"container-title-short": "Nat Commun",
"volume": "17",
"issue": "1",
"page": "11000",
"DOI": "10.1038/s41467-026-79114-3",
"PMID": "42907467",
"PMCID": "PMC13686967",
"ISSN": "2041-1723",
"publisher": "Nature Publishing Group",
"URL": "https://doi.org/10.1038/s41467-026-79114-3",
"language": "en",
"issued": {
"date-parts": [
[
2026,
10,
21
]
]
}
}

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