2021/09/23 by Isaac H. Kim, Kim, Isaac H.
Computer Science · Mathematics · Physics and Astronomy · #Entropy (arrow of time) #FOS: Physical sciences #Generalization #Geometry #Mathematical analysis #Mathematical economics #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #Quantum mechanics #Scaling #Scaling law #Statistical physics #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #quant-ph
paper · pdf · doi:10.48550/arxiv.2109.11688
19 pages, 0 figures. Elucidated a connection with arXiv:2010.07424. Added a missing definition and fixed typos
openalex publication_date 2021/09/23 · arxiv created 2021/10/07 · arxiv updated 2021/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.