{"paper":{"title":"Two Local Observables are Sufficient to Characterize Maximally Entangled States of N Qubits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric Chitambar, Fengli Yan, Ting Gao","submitted_at":"2010-11-03T19:43:05Z","abstract_excerpt":"Maximally entangled states (MES) represent a valuable resource in quantum information processing. In $N$-qubit systems the MES are $N$-GHZ states, i.e. the collection of $\\ket{GHZ_N}=\\frac{1}{\\sqrt{2}}(\\ket{00...0}+\\ket{11...1})$ and its local unitary (LU) equivalences. While it is well-known that such states are uniquely stabilized by $N$ commuting observables, in this Letter we consider the minimum number of non-commuting observables needed to characterize an $N$-qubit MES as the unique common eigenstate. Here, we prove that in this general case, any $N$-GHZ state can be uniquely stabilized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0987","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}