{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"f3b7f4d2b0c669aa237d6d7ffc83225e21cc78bb25ef11b8ca359187f69e5cec","created":"2026-10-03T07:18:10Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","d9dadf12fa562161eb432c8b64e7061083dfb942021a2157fafae9f3892fcf38"],"salt":"ca10230970200c0b0e4a75f37e69623e794680916ca020f145418f954b7239eb","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qi.quantum-principles.ic-simplest-scenario","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[{"note":"","parent_revision":"d9dadf12fa562161eb432c8b64e7061083dfb942021a2157fafae9f3892fcf38","relation":"special_case"}],"plain":"In the simplest Bell test each side picks one of two measurements with two outcomes. A 2026 result shows a strengthened information-causality principle reproduces the quantum boundary when each local outcome is equally likely, but whether it excludes every non-quantum box, including ones with biased local outcomes, is open.","posed_since":"2009","precise":"In the $(2,2,2)$ Bell scenario, generalized information causality implies the Tsirelson-Landau-Masanes criterion $\\left|\\operatorname{asin} C_{00}+\\operatorname{asin} C_{01}+\\operatorname{asin} C_{10}-\\operatorname{asin} C_{11}\\right|\\le\\pi$ on the correlators $C_{xy}=\\langle a_x b_y\\rangle$, which characterizes $Q$ when $\\langle a_x\\rangle=\\langle b_y\\rangle=0$, and is strictly stronger than macroscopic locality (Gachechiladze and Miklin, arXiv:2609.10508). Determine whether it excludes every non-quantum behavior with nonzero marginals.","problem_ref":null,"references":"","settled_by":"A proof that generalized information causality implies membership in Q for all (2,2,2) behaviors, or an explicit non-quantum behavior that satisfies it.","status_note":"The TLM criterion for unbiased marginals was derived from generalized information causality in September 2026 (arXiv:2609.10508); the case of nonzero marginals is not addressed there.","title":"Does information causality exclude every post-quantum box with two binary inputs?","topic_ref":"26891b8e1768832b53e0431c42eec2be3991112a72dbe42379ae527cbe11ff25"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"89ab8b3a12ac39848ecd16621806c59198612710fd3de7b9d5a8f8270661532b","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"bca163dffc258c4a22d3581c2b81fc5746b162d92194de4438b30c514b3213d9","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"qTdtoNwe_SaY7gI9yHKm8zRunBDfb4qxY-kOhCkL8MNZFThDZjK3HBlYE_3ys0tXcbYG4Wf54Ib_ORVXfG9kBg"},"schema":"pubphys.envelope/1"},"record_hash":"89ab8b3a12ac39848ecd16621806c59198612710fd3de7b9d5a8f8270661532b","leaf_index":2033}