{"paper":{"title":"Quantum Teleportation and Super-dense Coding in Operator Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OA","authors_text":"Li Gao, Marius Junge, Samuel J. Harris","submitted_at":"2017-09-08T17:31:52Z","abstract_excerpt":"Let $\\mathcal{B}_d$ be the unital $C^*$-algebra generated by the elements $u_{jk}, \\, 0 \\le i, j \\le d-1$, satisfying the relations that $[u_{j,k}]$ is a unitary operator, and let $C^*(\\mathbb{F}_{d^2})$ be the full group $C^*$-algebra of free group of $d^2$ generators. Based on the idea of teleportation and super-dense coding in quantum information theory, we exhibit the two $*$-isomorphisms $M_d(C^*(\\mathbb{F}_{d^2}))\\cong \\mathcal{B}_d\\rtimes \\mathbb{Z}_d\\rtimes \\mathbb{Z}_d$ and $M_d(\\mathcal{B}_d)\\cong C^*(\\mathbb{F}_{d^2})\\rtimes \\mathbb{Z}_d\\rtimes \\mathbb{Z}_d$, for certain actions of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02785","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":""},"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"}