This review elaborates on the foundation, the advantages, and the prospects of tensor network representations for quantum states in vibrational spectroscopy. The focus is on the recently introduced matrix product state decomposition of nuclear quantum states and its optimization by the density matrix renormalization group algorithm.
@article{arxiv.2109.08961,
title = {Tensor Network States for Vibrational Spectroscopy},
author = {Nina Glaser and Alberto Baiardi and Markus Reiher},
journal= {arXiv preprint arXiv:2109.08961},
year = {2022}
}