{"paper":{"title":"Tensor power of dynamical maps and P- vs. CP-divisibility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dariusz Chru\\'sci\\'nski, Fabio Benatti, Sergey Filippov","submitted_at":"2016-10-14T20:48:05Z","abstract_excerpt":"The are several non-equivalent notions of Markovian quantum evolution. In this paper we show that the one based on the so-called CP-divisibility of the corresponding dynamical map enjoys the following stability property: the dynamical map $\\Lambda_t$ is CP-divisible iff the second tensor power $\\Lambda_t\\otimes\\Lambda_t$ is CP-divisible as well. Moreover, the P-divisibility of the map $\\Lambda_t\\otimes\\Lambda_t$ is equivalent to the CP-divisibility of the map $\\Lambda_t$. Interestingly, the latter property is no longer true if we replace the P-divisibility of $\\Lambda_t\\otimes\\Lambda_t$ by sim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04634","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"}