{"paper":{"title":"Experimental verification of the commutation relation for Pauli spin operators using single-photon quantum interference","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hyang-Tag Lim, Yong-Su Kim, Yoon-Ho Kim, Young-Sik Ra","submitted_at":"2010-02-17T07:49:18Z","abstract_excerpt":"We report experimental verification of the commutation relation for Pauli spin operators using quantum interference of the single-photon polarization state. By superposing the quantum operations $\\sigma_z \\sigma_x$ and $\\sigma_x \\sigma_z$ on a single-photon polarization state, we have experimentally implemented the commutator, $[\\sigma_{z}, \\sigma_{x}]$, and the anticommutator, $\\{\\sigma_{z}, \\sigma_{x}\\}$, and have demonstrated the relative phase factor of $\\pi$ between $\\sigma_z \\sigma_x$ and $\\sigma_x \\sigma_z$ operations. The experimental quantum operation corresponding to the commutator, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3219","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"}