{"paper":{"title":"Characterization of fiducial states in prime dimensions via mutually unbiased bases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Delgado, D. Goyeneche, R. Salazar","submitted_at":"2013-04-18T13:49:33Z","abstract_excerpt":"In this work we present some new properties of fiducial states in prime dimensions. We parameterize fiducial operators on eigenvectors bases of displacement operators, which allows us to find a manifold $\\Omega$ of hermitian operators satisfying $\\mathrm{Tr}(\\rho)=\\mathrm{Tr}(\\rho^2)=1$ for any $\\rho$ in $\\Omega$. This manifold contains the complete set of fiducial pure states in every prime dimension. Indeed, any quantum state $\\rho\\geq0$ belonging to $\\Omega$ is a fiducial pure state. Also, we present an upper bound for every probability associated to mutually unbiased decomposition of fiduc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5134","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"}