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PreprintCC BY 4.0arXiv

Maximal Orbital Entanglement from Non-Interacting Fermions

  • Damiano Aliverti-Piuri
  • Julia Liebert
  • Christian Schilling
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Abstract

Orbital rotations are used in quantum many-body physics and chemistry to reduce the complexity of quantum states by compressing their correlation into a small set of relevant orbitals. In striking contrast, quantum information processing strives for the opposite: orbitals that maximize entanglement as a resource. Motivated by this, we prove that Slater determinants of N fermions on a lattice of dA + dB = d sites, although free of particle correlation, can carry up to min{dA, dB, N, d−N} ebits of orbital entanglement. Given enough particles and holes, this equals the maximum over all fermionic states. For arbitrary free states, we derive the maximal orbital total correlation in closed form for all bipartitions, the finest partition, and all partitions of up to five sites, using new majorization relations for Hermitian matrices. Taken together, these results turn mean-field states, the starting point of most many-body methods in physics and chemistry, into a viable resource for quantum information processing.

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Cite

BibTeXRIS
BibTeX
@misc{alivertipiuri2026maximal,
  title = {{Maximal Orbital Entanglement from Non-Interacting Fermions}},
  author = {Damiano Aliverti-Piuri and Julia Liebert and Christian Schilling},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32974},
  eprint = {2610.32974},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32974},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Maximal Orbital Entanglement from Non-Interacting Fermions
AU  - Damiano Aliverti-Piuri
AU  - Julia Liebert
AU  - Christian Schilling
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32974
UR  - https://arxiv.org/abs/2610.32974
AB  - Orbital rotations are used in quantum many-body physics and chemistry to reduce the complexity of quantum states by compressing their correlation into a small set of relevant orbitals. In striking contrast, quantum information processing strives for the opposite: orbitals that maximize entanglement as a resource. Motivated by this, we prove that Slater determinants of N fermions on a lattice of d_A + d_B = d sites, although free of particle correlation, can carry up to min{d_A, d_B, N, d−N} ebits of orbital entanglement. Given enough particles and holes, this equals the maximum over all fermionic states. For arbitrary free states, we derive the maximal orbital total correlation in closed form for all bipartitions, the finest partition, and all partitions of up to five sites, using new majorization relations for Hermitian matrices. Taken together, these results turn mean-field states, the starting point of most many-body methods in physics and chemistry, into a viable resource for quantum information processing.
ER  -