{"paper":{"title":"Uncertainty relations in quantum optics. Is the photon intelligent?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Francisco J. Turrubiates, Hugo Garc\\'ia-Compe\\'an, Jaromir Tosiek, Maciej Przanowski","submitted_at":"2015-11-13T09:55:57Z","abstract_excerpt":"The Robertson -- Schr\\\"{o}dinger, Heisenberg -- Robertson and Trifonov uncertainty relations for arbitrary two functions $f_{1}$ and $f_{2}$ depending on the quantum phase and the number of photons respectively, are given. Intelligent states and states which minimize locally the product of uncertainties $(\\Delta f_{1})^{2}\\cdot (\\Delta f_{2})^{2}$ or the sum $(\\Delta f_{1})^{2}+(\\Delta f_{2})^{2}$ are investigated for the cases $f_{1}=\\phi,\\exp{(i\\phi)}, \\exp{(-i\\phi)}, \\cos{\\phi}, \\sin{\\phi}$ and $f_{2}=n$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04215","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"}