Entropy scaling law and the quantum marginal problem: simplification and generalization

• URL: http://arxiv.org/abs/2109.11688v3
• Date: Thu, 7 Oct 2021 14:05:27 GMT
• Title: Entropy scaling law and the quantum marginal problem: simplification and generalization
• Authors: Isaac H. Kim
• Abstract summary: We introduce a solution to the quantum marginal problem relevant to two-dimensional quantum many-body systems. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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