{"paper":{"title":"Zero knowledge convincing protocol on quantum bit is impossible","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michal Horodecki, Pawel Horodecki, Ryszard Horodecki","submitted_at":"2000-10-12T01:14:56Z","abstract_excerpt":"Consider two parties: Alice and Bob and suppose that Bob is given a qubit system in a quantum state $\\phi$, unknown to him. Alice knows $\\phi$ and she is supposed to convince Bob that she knows $\\phi$ sending some test message. Is it possible for her to convince Bob providing him \"zero knowledge\" i. e. no information about $\\phi$ he has? We prove that there is no \"zero knowledge\" protocol of that kind. In fact it turns out that basing on Alice message, Bob (or third party - Eve - who can intercept the message) can synthetize a copy of the unknown qubit state $\\phi$ with nonzero probability. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0010048","kind":"arxiv","version":3},"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"}