Two-electron wavefunctions are matrix product states with bond dimension Three
Quantum Physics
2022-10-05 v1 Mathematical Physics
math.MP
Abstract
We prove the statement in the title, for a suitable (wavefunction-dependent) choice of the underlying orbitals, and show that Three is optimal. Thus for two-electron systems, the QC-DMRG method with bond dimension Three combined with fermionic mode optimization exactly recovers the FCI energy.
Cite
@article{arxiv.2109.10091,
title = {Two-electron wavefunctions are matrix product states with bond dimension Three},
author = {Gero Friesecke and Benedikt R. Graswald},
journal= {arXiv preprint arXiv:2109.10091},
year = {2022}
}