{"paper":{"title":"Assessing the dynamical assumptions in Tsirelson inequality tests of non-classicality in harmonic oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Quantum analysis shows uniform precession holds closely enough in harmonic oscillators that Tsirelson violations require quantum interference terms.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arush Garg, Jonathan Halliwell, Taejas Venkataraman","submitted_at":"2025-09-03T09:33:31Z","abstract_excerpt":"\"Macrorealism\" posits that a system possesses definite properties at all times and that we can discover these properties, in principle, without disturbing the system's subsequent behaviour. The Leggett-Garg inequalities are derived under these assumptions and are readily violated by standard quantum mechanics, thereby providing a scheme to test whether demonstrably macroscopic systems can exhibit quantum coherence. Unfortunately, Leggett-Garg tests suffer from the difficult to avoid clumsiness loophole - the difficulty of proving that sequential measurements have not inadvertently disturbed th"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that various measures of uniform precession, some of which are related to Leggett-Garg quantities, are satisfied well enough that the presence of quantum-mechanical interference terms must be implied.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The chosen measures of generalized uniform precession (including those related to Leggett-Garg quantities) are sufficient to rule out classical explanations for Tsirelson inequality violations in the harmonic oscillator model.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Quantum-mechanical analysis of the Tsirelson inequality in harmonic oscillators shows that generalized uniform precession conditions hold sufficiently well to imply the presence of quantum interference terms.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Quantum analysis shows uniform precession holds closely enough in harmonic oscillators that Tsirelson violations require quantum interference terms.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"8251bbee0066e7db8aed1196a3c99c23099bb86673f0eef1d50f85c960812d3e"},"source":{"id":"2509.03166","kind":"arxiv","version":4},"verdict":{"id":"0bb606cf-861a-4512-910c-97b3fb8a58a6","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T19:49:18.103890Z","strongest_claim":"We show that various measures of uniform precession, some of which are related to Leggett-Garg quantities, are satisfied well enough that the presence of quantum-mechanical interference terms must be implied.","one_line_summary":"Quantum-mechanical analysis of the Tsirelson inequality in harmonic oscillators shows that generalized uniform precession conditions hold sufficiently well to imply the presence of quantum interference terms.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The chosen measures of generalized uniform precession (including those related to Leggett-Garg quantities) are sufficient to rule out classical explanations for Tsirelson inequality violations in the harmonic oscillator model.","pith_extraction_headline":"Quantum analysis shows uniform precession holds closely enough in harmonic oscillators that Tsirelson violations require quantum interference terms."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.03166/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":95,"sample":[{"doi":"","year":null,"title":"Declare a data set, comprising measurements of⟨A⟩ (the Tsirelson test itself) as well as subsidiary quan- tities to gauge the dynamical assumption of uni- form precession (UP)","work_id":"81416278-2059-4571-861a-e4cdb6d568d7","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Write the Tsirelson quantity in the following form: 1 2(1 +⟨A⟩) = (Positive term) + (UP violating term) + (Quantum interference term),(3.1) where the scaled Tsirelson quantity 1 2(1 +⟨A⟩) is 8 bounded","work_id":"d2dc4f08-827e-4f78-9115-46df596d7e85","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"three-headed cat state","work_id":"56f37c42-6179-4435-accf-31137a981dbe","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"By this measure, a classical and quantum oscillator are indistinguishable","work_id":"d8a5c520-9e67-4306-bdf0-c1605dfa6ff6","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"This in turn is related to the fact that the Wigner function, for a class of potentials, has approximately classical evolution","work_id":"893e3527-36f5-44fa-a1e9-2b510f71b37c","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":95,"snapshot_sha256":"4b319746c11e369d47f75b519747b291a30932ff14ef261d14cd2fd14ab36912","internal_anchors":2},"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"}