{"paper":{"title":"Teleportation-based quantum homomorphic encryption scheme with quasi-compactness and perfect security","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR"],"primary_cat":"quant-ph","authors_text":"Min Liang","submitted_at":"2018-12-14T17:27:33Z","abstract_excerpt":"This article defines encrypted gate, which is denoted by $EG[U]:|\\alpha\\rangle\\rightarrow\\left((a,b),Enc_{a,b}(U|\\alpha\\rangle)\\right)$. We present a gate-teleportation-based two-party computation scheme for $EG[U]$, where one party gives arbitrary quantum state $|\\alpha\\rangle$ as input and obtains the encrypted $U$-computing result $Enc_{a,b}(U|\\alpha\\rangle)$, and the other party obtains the random bits $a,b$. Based on $EG[P^x](x\\in\\{0,1\\})$, we propose a method to remove the $P$-error generated in the homomorphic evaluation of $T/T^\\dagger$-gate. Using this method, we design two non-intera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07107","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"}