{"paper":{"title":"Codes for Simultaneous Transmission of Quantum and Classical Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Bei Zeng, Markus Grassl, Sirui Lu","submitted_at":"2017-01-24T16:27:57Z","abstract_excerpt":"We consider the characterization as well as the construction of quantum codes that allow to transmit both quantum and classical information, which we refer to as `hybrid codes'. We construct hybrid codes $[\\![n,k{: }m,d]\\!]_q$ with length $n$ and distance $d$, that simultaneously transmit $k$ qudits and $m$ symbols from a classical alphabet of size $q$. Many good codes such as $[\\![7,1{: }1,3]\\!]_2$, $[\\![9,2{: }2,3]\\!]_2$, $[\\![10,3{: }2,3]\\!]_2$, $[\\![11,4{: }2,3]\\!]_2$, $[\\![11,1{: }2,4]\\!]_2$, $[\\![13,1{: }4,4]\\!]_2$, $[\\![13,1{: }1,5]\\!]_2$, $[\\![14,1{: }2,5]\\!]_2$, $[\\![15,1{: }3,5]\\!]_2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06963","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"}