@misc{CMP2019,
  author       = {Toby Cubitt and Ashley Montanaro and Stephen Piddock},
  title        = {Universal quantum {Hamiltonians}},
  year         = {2019},
  howpublished = {arXiv:1701.05182v4 [quant-ph]},
  note         = {Full manuscript, version 4, 31 May 2019.
                  \href{https://arxiv.org/pdf/1701.05182v4}{Online version}},
  eprint       = {1701.05182v4},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  url          = {https://arxiv.org/abs/1701.05182v4}
}

@article{CMP2018,
  author = {Toby S. Cubitt and Ashley Montanaro and Stephen Piddock},
  title = {Universal quantum {Hamiltonians}},
  journal = {Proceedings of the National Academy of Sciences},
  volume = {115},
  number = {38},
  pages = {9497--9502},
  year = {2018},
  doi = {10.1073/pnas.1804949115}
}

@article{PiddockMontanaro2017,
  author = {Stephen Piddock and Ashley Montanaro},
  title = {The complexity of antiferromagnetic interactions and {2D} lattices},
  journal = {Quantum Information and Computation},
  volume = {17},
  number = {7--8},
  pages = {636--672},
  year = {2017},
  eprint = {1506.04014v2},
  archivePrefix = {arXiv},
  url = {https://www.rintonpress.com/xxqic17/qic-17-78/0636-0672.pdf}
}

@article{LiuChristandlVerstraete2007,
  author = {Yi-Kai Liu and Matthias Christandl and Frank Verstraete},
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}

@article{WhitfieldLoveAspuruGuzik2013,
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  year = {2013},
  doi = {10.1039/C2CP42695A}
}

@article{SchuchVerstraete2009,
  author = {Norbert Schuch and Frank Verstraete},
  title = {Computational complexity of interacting electrons and fundamental limitations of density functional theory},
  journal = {Nature Physics},
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  pages = {732--735},
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  doi = {10.1038/nphys1370},
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  archivePrefix = {arXiv}
}

@article{Anderson1959,
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@article{BravyiDiVincenzoLoss2011,
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@article{MelenkBabuska1996,
  author = {J. M. Melenk and I. Babu{\v{s}}ka},
  title = {The partition of unity finite element method: Basic theory and applications},
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@article{MadayMarcati2019,
  author = {Yvon Maday and Carlo Marcati},
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  volume = {29},
  number = {8},
  pages = {1585--1617},
  year = {2019},
  eprint = {1810.09010},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1810.09010}
}

@article{Simon1983,
  author = {Barry Simon},
  title = {Semiclassical analysis of low lying eigenvalues. {I}. Non-degenerate minima: asymptotic expansions},
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@misc{UnitCoulomb2026,
  author = {{OpenAI}},
  title = {{QMA-hardness of continuum Coulomb energy with unit nuclear charges}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026.pdf}{OAI:QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026}},
  year = {2026}
}

@misc{UniformExcessCharge2026,
  author = {{OpenAI}},
  title = {{Uniform excess charge for Coulomb molecules and the outer radius of neutral atoms}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Uniform-excess-charge-for-Coulomb-molecules-and-the-outer-radius-of-neutral-atoms-September-24-2026/paper.pdf}{OAI:Uniform-excess-charge-for-Coulomb-molecules-and-the-outer-radius-of-neutral-atoms-September-24-2026}},
  year = {2026}
}

@article{OGorman2022,
  author       = {Bryan O'Gorman and Sandy Irani and James Whitfield
                  and Bill Fefferman},
  title        = {Intractability of Electronic Structure in a Fixed Basis},
  journal      = {PRX Quantum},
  volume       = {3},
  number       = {2},
  pages        = {020322},
  year         = {2022},
  doi          = {10.1103/PRXQuantum.3.020322},
  note         = {\href{https://journals.aps.org/prxquantum/pdf/10.1103/PRXQuantum.3.020322}{Online version}},
  url          = {https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.3.020322}
}

@article{Schleich2026,
  author       = {Philipp Schleich and Lasse Bj{\o}rn Kristensen
                  and Jorge A. Campos-Gonzalez-Angulo
                  and Abdulrahman Aldossary and Davide Avagliano
                  and Mohsen Bagherimehrab and Christoph Gorgulla
                  and Joe Fitzsimons and Al{\'a}n Aspuru-Guzik},
  title        = {Chemically motivated simulation problems are efficiently
                  solvable on a quantum computer},
  journal      = {Digital Discovery},
  volume       = {5},
  number       = {1},
  pages        = {64--87},
  year         = {2026},
  doi          = {10.1039/D5DD00377F},
  note         = {\href{https://pubs.rsc.org/en/content/articlepdf/2025/dd/d5dd00377f}{Online version}},
  url          = {https://doi.org/10.1039/D5DD00377F}
}

@book{Teschl2009,
  author = {Teschl, Gerald},
  title = {Mathematical Methods in Quantum Mechanics: With Applications to {Schr\"odinger} Operators},
  series = {Graduate Studies in Mathematics},
  volume = {99},
  publisher = {American Mathematical Society},
  year = {2009},
  note = {First edition, Theorem 6.4.
    \href{https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe.pdf}{Author-hosted text}}
}