{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LGHJPKARFXHBM4RMIY2GYV6TC7","short_pith_number":"pith:LGHJPKAR","schema_version":"1.0","canonical_sha256":"598e97a8112dce16722c46346c57d317c4aca9a785c869eb58371b9011153755","source":{"kind":"arxiv","id":"1308.1511","version":3},"attestation_state":"computed","paper":{"title":"Role of complementarity in superdense coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Patrick J. Coles","submitted_at":"2013-08-07T09:19:09Z","abstract_excerpt":"The complementarity of two observables is often captured in uncertainty relations, which quantify an inevitable tradeoff in knowledge. Here we study complementarity in the context of an information processing task: we link the complementarity of two observables to their usefulness for superdense coding (SDC). In SDC, Alice sends two classical dits of information to Bob by sending a single qudit. However, we show that encoding with commuting unitaries prevents Alice from sending more than one dit per qudit, implying that complementarity is necessary for SDC to be advantagous over a classical st"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.1511","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-07T09:19:09Z","cross_cats_sorted":[],"title_canon_sha256":"b379c4980cbcf94d3707e57379ec73a6ce61f2710aa6b29828e74d197f026c3b","abstract_canon_sha256":"9715331c4e5454b3a0967c53174cea6c56f1209540b1c5c8ccc96fd3e16b2d4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:48.814650Z","signature_b64":"pYNIkB/7reZPXWS8nJLWG/WJ56mSBpOH9/flH4HsvIaISnIs0OGS0r02LwoUo7Zn1kkm5QkhPFHZf15SCXb3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"598e97a8112dce16722c46346c57d317c4aca9a785c869eb58371b9011153755","last_reissued_at":"2026-05-18T03:04:48.814016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:48.814016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Role of complementarity in superdense coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Patrick J. Coles","submitted_at":"2013-08-07T09:19:09Z","abstract_excerpt":"The complementarity of two observables is often captured in uncertainty relations, which quantify an inevitable tradeoff in knowledge. Here we study complementarity in the context of an information processing task: we link the complementarity of two observables to their usefulness for superdense coding (SDC). In SDC, Alice sends two classical dits of information to Bob by sending a single qudit. However, we show that encoding with commuting unitaries prevents Alice from sending more than one dit per qudit, implying that complementarity is necessary for SDC to be advantagous over a classical st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1511","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.1511","created_at":"2026-05-18T03:04:48.814145+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.1511v3","created_at":"2026-05-18T03:04:48.814145+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1511","created_at":"2026-05-18T03:04:48.814145+00:00"},{"alias_kind":"pith_short_12","alias_value":"LGHJPKARFXHB","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LGHJPKARFXHBM4RM","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LGHJPKAR","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7","json":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7.json","graph_json":"https://pith.science/api/pith-number/LGHJPKARFXHBM4RMIY2GYV6TC7/graph.json","events_json":"https://pith.science/api/pith-number/LGHJPKARFXHBM4RMIY2GYV6TC7/events.json","paper":"https://pith.science/paper/LGHJPKAR"},"agent_actions":{"view_html":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7","download_json":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7.json","view_paper":"https://pith.science/paper/LGHJPKAR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.1511&json=true","fetch_graph":"https://pith.science/api/pith-number/LGHJPKARFXHBM4RMIY2GYV6TC7/graph.json","fetch_events":"https://pith.science/api/pith-number/LGHJPKARFXHBM4RMIY2GYV6TC7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7/action/storage_attestation","attest_author":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7/action/author_attestation","sign_citation":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7/action/citation_signature","submit_replication":"https://pith.science/pith/LGHJPKARFXHBM4RMIY2GYV6TC7/action/replication_record"}},"created_at":"2026-05-18T03:04:48.814145+00:00","updated_at":"2026-05-18T03:04:48.814145+00:00"}