{"paper":{"title":"Area laws and tensor networks for maximally mixed ground states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cs.CC","cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Itai Arad, Rahul Jain, Raz Firanko","submitted_at":"2023-10-29T14:36:30Z","abstract_excerpt":"We show an area law in the mutual information for the\n  maximally-mixed state $\\Omega$ in the ground space of general\n  Hamiltonians, which is independent of the underlying ground space\n  degeneracy. Our result assumes the existence of a `good'\n  approximation to the ground state projector (a good AGSP), a\n  crucial ingredient in previous area-law proofs. Such approximations\n  have been explicitly derived for 1D gapped local Hamiltonians and\n  2D frustration-free locally-gapped Hamiltonians. As a\n  corollary, we show that in 1D gapped local Hamiltonians, for any\n  $\\varepsilon>0$ and any bi-pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.19028","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.19028/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}