{"paper":{"title":"On the group theoretic structure of a class of quantum dialogue protocols","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Anindita Banerjee, Anirban Pathak, Chitra Shukla, Vivek Kothari","submitted_at":"2012-03-27T11:05:02Z","abstract_excerpt":"Intrinsic symmetry of the existing protocols of quantum dialogue are explored. It is shown that if we have a set of mutually orthogonal $n$-qubit states {\\normalsize $\\{|\\phi_{0}>,|\\phi_{1}>,....,|\\phi_{i}<,...,|\\phi_{2^{n}-1}>\\}$ and a set of $m-qubit$ ($m\\leq n$) unitary operators $\\{U_{0},U_{2},...,U_{2^{n}-1}\\}:U_{i}|\\phi_{0}>=|\\phi_{i}>$ and $\\{U_{0},U_{2},...,U_{2^{n}-1}\\}$ forms a group under multiplication then it would be sufficient to construct a quantum dialogue protocol using this set of quantum states and this group of unitary operators}. The sufficiency condition is used to provi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5931","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"}