{"paper":{"title":"Three-dimensional visualization of a qutrit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adrian Kolodziejski, Marcin Markiewicz, Pawel Kurzynski, Wieslaw Laskowski","submitted_at":"2016-01-27T13:33:57Z","abstract_excerpt":"We present a surprisingly simple three-dimensional Bloch sphere representation of a qutrit, i.e., a single three-level quantum system. We start with a symmetric state of a two-qubit system and relate it to the spin-1 representation. Using this representation we associate each qutrit state with a three-dimensional vector $\\mathbf{a}$ and a metric tensor $\\mathbf{\\hat\\Gamma}$ which satisfy $\\mathbf{a}\\cdot \\mathbf{\\hat\\Gamma} \\cdot \\mathbf{a}\\leq 1$. This resembles the well known condition for qubit Bloch vectors in which case $\\mathbf{\\hat\\Gamma}=\\hat{I}$. In our case the vector $\\mathbf{a}$ co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07361","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"}