{"paper":{"title":"Semi-device-independent self-testing of unitary operations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The optimal quantum advantage in a variant of the 3-bit prepare-measure random access code self-tests Alice's unitary operations and Bob's measurements.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. K. Pan, Prabuddha Roy, Rajdeep Paul","submitted_at":"2026-04-21T18:44:01Z","abstract_excerpt":"We present a hitherto unexplored semi-device-independent (SDI) self-testing protocol designed to certify unitary operations within a variant of prepare-measure framework. We consider a communication game which we refer to as a variant of $3$-bit prepare-measure random access code (PMRAC) involving two parties, Alice and Bob, who share a prior two-qubit quantum state. Alice encodes her message by applying unitary operations on her subsystem and sends it to Bob. To decode the message, Bob performs a measurement on the whole system. We demonstrate that the optimal quantum advantage of the variant"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We demonstrate that the optimal quantum advantage of the variant of 3-bit PMRAC over the classical bound enables the self-testing of Alice's unitary operations and Bob's measurements. The derivation of the optimal quantum success probability is fully analytical.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The protocol assumes the parties share a specific two-qubit quantum state and operate strictly within the prepare-measure framework without additional hidden degrees of freedom or deviations from the stated communication game rules.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new semi-device-independent self-testing protocol certifies Alice's unitary operations and Bob's measurements via the optimal quantum advantage in a variant 3-bit PMRAC communication game.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The optimal quantum advantage in a variant of the 3-bit prepare-measure random access code self-tests Alice's unitary operations and Bob's measurements.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"bfcdb93840c3e65b127219a23684c4a13ffa84234fa3b6f1d36680bcf08aa382"},"source":{"id":"2604.19911","kind":"arxiv","version":1},"verdict":{"id":"16a0d527-bde0-46f9-b12b-f4e739976d9d","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T02:20:17.977681Z","strongest_claim":"We demonstrate that the optimal quantum advantage of the variant of 3-bit PMRAC over the classical bound enables the self-testing of Alice's unitary operations and Bob's measurements. The derivation of the optimal quantum success probability is fully analytical.","one_line_summary":"A new semi-device-independent self-testing protocol certifies Alice's unitary operations and Bob's measurements via the optimal quantum advantage in a variant 3-bit PMRAC communication game.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The protocol assumes the parties share a specific two-qubit quantum state and operate strictly within the prepare-measure framework without additional hidden degrees of freedom or deviations from the stated communication game rules.","pith_extraction_headline":"The optimal quantum advantage in a variant of the 3-bit prepare-measure random access code self-tests Alice's unitary operations and Bob's measurements."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.19911/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T15:41:17.508548Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T02:32:29.124890Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"11ec3c37141cf5c240fd8d31c661806a5b8d9c9621c2338b4687f11439c4cb14"},"references":{"count":60,"sample":[{"doi":"","year":2021,"title":"(6) is derived as Sopt Q = 1 2 + 1√ 6 ≈0.908 (19) Note thatS opt Q >(S C)3→2 i.e., optimal quantum success probability outperforms the classical RACs","work_id":"c5f542d6-5ef2-431b-8c6e-20d065f98231","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1964,"title":"J. S. Bell, Physics1, 195 (1964)","work_id":"3c3ebf01-a2d8-4d04-8af8-f5cc513e48fb","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"N. Brunner, D. Cavalcanti, S. Pironio, V . Scarani, and S. Wehner, Rev. Mod. Phys.86, 419 (2014)","work_id":"7246353f-c67d-4456-9284-2ca3c5ef8b59","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"D. Mayers and A. Yao, inProceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No. 98CB36280) (IEEE, 1998) pp. 503–509","work_id":"2ad17a1b-2036-41a1-8af2-1d4f105f5d30","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"Self-testing quantum apparatus , Volume =","work_id":"11ddf642-f536-493b-976d-5e1572df2214","ref_index":5,"cited_arxiv_id":"quant-ph/0307205","is_internal_anchor":false}],"resolved_work":60,"snapshot_sha256":"8bfe8d3326998d8e8f1077fa15ee26e779f954c6e42bb26fb55cb96c2c1ae7ae","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"}