We present an example of an electronic wavefunction with maximally entangled MPS representation, in the sense that the bond dimension is maximal and cannot be lowered by any re-ordering of the underlying one-body basis. Our construction works for any number of electrons and orbitals.
Cite
@article{arxiv.2103.15658,
title = {Electronic wavefunction with maximally entangled MPS representation},
author = {Benedikt R. Graswald and Gero Friesecke},
journal= {arXiv preprint arXiv:2103.15658},
year = {2021}
}