{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:XGD566JPJQNMM3ZA3K4PQBKVSK","short_pith_number":"pith:XGD566JP","schema_version":"1.0","canonical_sha256":"b987df792f4c1ac66f20dab8f8055592ad104a5c6383516b681e681b9ccd7416","source":{"kind":"arxiv","id":"2004.14339","version":2},"attestation_state":"computed","paper":{"title":"Classical Communications with Indefinite Causal Order for $N$ completely depolarizing channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arun Kumar Pati, Kratveer Singh, Michal Sedlak, Sk Sazim","submitted_at":"2020-04-29T17:11:14Z","abstract_excerpt":"If two identical copies of a completely depolarizing channel are put into a superposition of their possible causal orders, they can transmit non-zero classical information. Here, we study how well we can transmit classical information with $N$ depolarizing channels put in superposition of $M$ causal orders via quantum SWITCH. We calculate Holevo quantity if the superposition uses only cyclic permutations of channels and find that it increases with $M$ and it is independent of $N$. For a qubit it never reaches $1$ if we are increasing $M$. On the other hand, the classical capacity decreases wit"},"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":"2004.14339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-04-29T17:11:14Z","cross_cats_sorted":[],"title_canon_sha256":"9016c57fc233def585e0dbacea64349ceb59f01fd2eba47e164b4025a8f12b90","abstract_canon_sha256":"5d71e2a6f25e08180c6b827a120aaccf1967c651de98780fac2ca29ef97bb76e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:51:07.073365Z","signature_b64":"EWB47ADa9RiYfkmoRbZzUPOWt+vGTFCrpQc8tv8EFI0N1/o7B5a70m8Jm6oczBDZrPVH6m0iqeiK82Ed1pmpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b987df792f4c1ac66f20dab8f8055592ad104a5c6383516b681e681b9ccd7416","last_reissued_at":"2026-07-05T02:51:07.072879Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:51:07.072879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical Communications with Indefinite Causal Order for $N$ completely depolarizing channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arun Kumar Pati, Kratveer Singh, Michal Sedlak, Sk Sazim","submitted_at":"2020-04-29T17:11:14Z","abstract_excerpt":"If two identical copies of a completely depolarizing channel are put into a superposition of their possible causal orders, they can transmit non-zero classical information. Here, we study how well we can transmit classical information with $N$ depolarizing channels put in superposition of $M$ causal orders via quantum SWITCH. We calculate Holevo quantity if the superposition uses only cyclic permutations of channels and find that it increases with $M$ and it is independent of $N$. For a qubit it never reaches $1$ if we are increasing $M$. On the other hand, the classical capacity decreases wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.14339","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.14339/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2004.14339","created_at":"2026-07-05T02:51:07.072936+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.14339v2","created_at":"2026-07-05T02:51:07.072936+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.14339","created_at":"2026-07-05T02:51:07.072936+00:00"},{"alias_kind":"pith_short_12","alias_value":"XGD566JPJQNM","created_at":"2026-07-05T02:51:07.072936+00:00"},{"alias_kind":"pith_short_16","alias_value":"XGD566JPJQNMM3ZA","created_at":"2026-07-05T02:51:07.072936+00:00"},{"alias_kind":"pith_short_8","alias_value":"XGD566JP","created_at":"2026-07-05T02:51:07.072936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2207.09180","citing_title":"Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK","json":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK.json","graph_json":"https://pith.science/api/pith-number/XGD566JPJQNMM3ZA3K4PQBKVSK/graph.json","events_json":"https://pith.science/api/pith-number/XGD566JPJQNMM3ZA3K4PQBKVSK/events.json","paper":"https://pith.science/paper/XGD566JP"},"agent_actions":{"view_html":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK","download_json":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK.json","view_paper":"https://pith.science/paper/XGD566JP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.14339&json=true","fetch_graph":"https://pith.science/api/pith-number/XGD566JPJQNMM3ZA3K4PQBKVSK/graph.json","fetch_events":"https://pith.science/api/pith-number/XGD566JPJQNMM3ZA3K4PQBKVSK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK/action/storage_attestation","attest_author":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK/action/author_attestation","sign_citation":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK/action/citation_signature","submit_replication":"https://pith.science/pith/XGD566JPJQNMM3ZA3K4PQBKVSK/action/replication_record"}},"created_at":"2026-07-05T02:51:07.072936+00:00","updated_at":"2026-07-05T02:51:07.072936+00:00"}