Entropy scaling law and the quantum marginal problem: simplification and generalization
Quantum Physics
2021-10-08 v3 Strongly Correlated Electrons
Abstract
Recently, we introduced a solution to the quantum marginal problem relevant to two-dimensional quantum many-body systems [I. H. Kim, Phys. Rev. X, 11, 021039]. One of the conditions was that the marginals are internally translationally invariant. We show that this condition can be replaced by a weaker condition, namely the local consistency of the marginals. This extends the applicability of the solution to any quantum many-body states in two dimensions that satisfy the entropy scaling law, with or without symmetry. We also significantly simplify the proof by advocating the usage of the maximum-entropy principle.
Cite
@article{arxiv.2109.11688,
title = {Entropy scaling law and the quantum marginal problem: simplification and generalization},
author = {Isaac H. Kim},
journal= {arXiv preprint arXiv:2109.11688},
year = {2021}
}
Comments
19 pages, 0 figures. Elucidated a connection with arXiv:2010.07424. Added a missing definition and fixed typos