{"paper":{"title":"Random Access Code protocols: Quantum advantage related to intraparticle entanglement-based contextuality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The quantum boost in single-particle random access code success equals the violation of a Bell inequality based on noncontextual path-spin measurements.","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Dipankar Home, Nilaj Saha, Sumit Mukherjee","submitted_at":"2026-05-13T11:10:59Z","abstract_excerpt":"The quantum enhancement of success probability in the Random Access Code (RAC) protocols remains unexplored from two important perspectives. First, the use of entanglement between two co-measurable degrees of freedom of a single particle (intraparticle entanglement) in achieving such quantum enhancement has not been investigated. Second, no explicit quantitative correspondence has been established between the predicted/observed quantum advantage and the underlying quantum resource responsible for it. In this work, we address both these aspects simultaneously by harnessing a single-particle res"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the magnitude of quantum-mechanical violation of such Bell-type inequality, signifying a form of quantum contextuality, is quantitatively commensurate with the quantum enhancement of success probability in any intraparticle entanglement-assisted n-bit RAC protocol. In particular, the maximal success probability of a quantum n ↦ 1 RAC protocol corresponds to the maximal quantum violation of the relevant Bell-type inequality.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The RAC protocol can be formulated in terms of intraparticle entanglement between spin/polarization and path degrees of freedom of a single particle, allowing derivation of a Bell-type inequality from the noncontextuality assumption for single-particle path-spin measurements.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Quantum success probability in intraparticle entanglement-assisted n-bit random access codes corresponds directly to the degree of violation of a noncontextuality Bell-type inequality.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The quantum boost in single-particle random access code success equals the violation of a Bell inequality based on noncontextual path-spin measurements.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b6f98143cbb923d7cfe87133f26f01dfaf20cc66edb0c025130f704b5feff969"},"source":{"id":"2605.13350","kind":"arxiv","version":1},"verdict":{"id":"5a6c70d1-9844-4fd6-8edb-303a97d5eb87","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:24:43.575402Z","strongest_claim":"the magnitude of quantum-mechanical violation of such Bell-type inequality, signifying a form of quantum contextuality, is quantitatively commensurate with the quantum enhancement of success probability in any intraparticle entanglement-assisted n-bit RAC protocol. In particular, the maximal success probability of a quantum n ↦ 1 RAC protocol corresponds to the maximal quantum violation of the relevant Bell-type inequality.","one_line_summary":"Quantum success probability in intraparticle entanglement-assisted n-bit random access codes corresponds directly to the degree of violation of a noncontextuality Bell-type inequality.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The RAC protocol can be formulated in terms of intraparticle entanglement between spin/polarization and path degrees of freedom of a single particle, allowing derivation of a Bell-type inequality from the noncontextuality assumption for single-particle path-spin measurements.","pith_extraction_headline":"The quantum boost in single-particle random access code success equals the violation of a Bell inequality based on noncontextual path-spin measurements."},"references":{"count":85,"sample":[{"doi":"","year":null,"title":"Upon re- ceiving this transmitted bit, the task given to Bob is to extract information about any randomly chosen bit of Alice’s original string of 2 bits","work_id":"c0381f09-286e-4ced-9995-587402cee215","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"One can also extend this observation to obtain the maximum average success probability for any randomized strategy making use of the fact that any randomized strategy can be represented as a probabili","work_id":"4ffe52ff-590d-41ec-8751-438ae40d9f44","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"(10) is that it also provides the lower bound on Pcl 2","work_id":"cf8b24f4-8a78-4fd8-83b7-857b5b8755cb","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"up” (|↑⟩ p), and|ψ 2⟩ as “down","work_id":"39e6e8aa-96c0-44d5-814f-2f26c730b33c","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"(6) with the quantum mechanical value ofC 2 achieving 2 √","work_id":"391ce3a8-3a0a-4598-8b89-3f8d1a53bde0","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":85,"snapshot_sha256":"6b82b9d5d4a454024b86d484765f0598c6e55b408c24185e15a16103c471d0c8","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"}