QMBL: the Quantum Many-Body Leaderboard. A live record of published ground-state energies for lattice Hamiltonians and the electron gas
Abstract
In condensed matter physics, scientists explore phase diagrams of matter through various methods (analysis, numerics, experiment) and achieve consensus when enough methods agree. The quality of variational results for quantum many-body ground states is mainly judged by energy values and respective errors. Here, we present QMBL, the Quantum Many-Body Leaderboard (https://www.qmbl.org), serving as the energy layer of the scientific consensus. It is a maintained, interactive record of published ground-state energies for lattice Hamiltonians and the homogeneous electron gas. The latest release v0.5.0 holds 2511 energies on 532 instances and collects all of the community's efforts into one view. Of those instances 285 have no exact solution (164 lattice and all 121 electron-gas instances) and any new record serves as a direct improvement to an open science problem. They are the targets of a companion benchmark, QMBL: Open Problems.
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BibTeX
@misc{zerweck2026qmbl,
title = {{QMBL: the Quantum Many-Body Leaderboard. A live record of published ground-state energies for lattice Hamiltonians and the electron gas}},
author = {Tristan Zerweck and Juan Carrasquilla},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22387},
eprint = {2610.22387},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22387},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - QMBL: the Quantum Many-Body Leaderboard. A live record of published ground-state energies for lattice Hamiltonians and the electron gas
AU - Tristan Zerweck
AU - Juan Carrasquilla
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.22387
UR - https://arxiv.org/abs/2610.22387
AB - In condensed matter physics, scientists explore phase diagrams of matter through various methods (analysis, numerics, experiment) and achieve consensus when enough methods agree. The quality of variational results for quantum many-body ground states is mainly judged by energy values and respective errors. Here, we present QMBL, the Quantum Many-Body Leaderboard (https://www.qmbl.org), serving as the energy layer of the scientific consensus. It is a maintained, interactive record of published ground-state energies for lattice Hamiltonians and the homogeneous electron gas. The latest release v0.5.0 holds 2511 energies on 532 instances and collects all of the community's efforts into one view. Of those instances 285 have no exact solution (164 lattice and all 121 electron-gas instances) and any new record serves as a direct improvement to an open science problem. They are the targets of a companion benchmark, QMBL: Open Problems.
ER -