{"paper":{"title":"On the effective size of certain \"Schr\\\"{o}dinger cat'' like states","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christoph Simon, J. Ignacio Cirac, Wolfgang D\\\"ur","submitted_at":"2002-05-16T08:52:14Z","abstract_excerpt":"Several experiments and experimental proposals for the production of macroscopic superpositions naturally lead to states of the general form $|\\phi_1>^{\\otimes N}+|\\phi_2>^{\\otimes N}$, where the number of subsystems $N$ is very large, but the states of the individual subsystems have large overlap, $|{\\l}\\phi_1|\\phi_2 \\r|^2=1-\\epsilon^2$. We propose two different methods for assigning an effective particle number to such states, using ideal Greenberger--Horne--Zeilinger (GHZ)-- states of the form $|0\\r^{\\otimes n}+|1\\r^{\\otimes n}$ as a standard of comparison. The two methods are based on deco"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0205099","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"}