{"paper":{"title":"Von Neumann Entropy-Preserving Quantum Operations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"Junde Wu, Lin Zhang","submitted_at":"2011-04-15T09:04:35Z","abstract_excerpt":"For a given quantum state $\\rho$ and two quantum operations $\\Phi$ and $\\Psi$, the information encoded in the quantum state $\\rho$ is quantified by its von Neumann entropy $\\S(\\rho)$. By the famous Choi-Jamio{\\l}kowski isomorphism, the quantum operation $\\Phi$ can be transformed into a bipartite state, the von Neumann entropy $\\S^{\\mathrm{map}}(\\Phi)$ of the bipartite state describes the decoherence induced by $\\Phi$. In this Letter, we characterize not only the pairs $(\\Phi, \\rho)$ which satisfy $\\S(\\Phi(\\rho))=\\S(\\rho)$, but also the pairs $(\\Phi, \\Psi)$ which satisfy $\\S^{\\mathrm{map}}(\\Phi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2992","kind":"arxiv","version":4},"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"}