{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XGD566JPJQNMM3ZA3K4PQBKVSK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5d71e2a6f25e08180c6b827a120aaccf1967c651de98780fac2ca29ef97bb76e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-04-29T17:11:14Z","title_canon_sha256":"9016c57fc233def585e0dbacea64349ceb59f01fd2eba47e164b4025a8f12b90"},"schema_version":"1.0","source":{"id":"2004.14339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.14339","created_at":"2026-07-05T02:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"2004.14339v2","created_at":"2026-07-05T02:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.14339","created_at":"2026-07-05T02:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"XGD566JPJQNM","created_at":"2026-07-05T02:51:07Z"},{"alias_kind":"pith_short_16","alias_value":"XGD566JPJQNMM3ZA","created_at":"2026-07-05T02:51:07Z"},{"alias_kind":"pith_short_8","alias_value":"XGD566JP","created_at":"2026-07-05T02:51:07Z"}],"graph_snapshots":[{"event_id":"sha256:e39d067d269623f16f8bc8f82368b512cbe6f96361c2964ce3cdab2d5c2faa7f","target":"graph","created_at":"2026-07-05T02:51:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2004.14339/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Arun Kumar Pati, Kratveer Singh, Michal Sedlak, Sk Sazim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-04-29T17:11:14Z","title":"Classical Communications with Indefinite Causal Order for $N$ completely depolarizing channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.14339","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:773533868b1e2f95503603a9a8c4215eb135a29d3bb44967c3b641e32d41b11f","target":"record","created_at":"2026-07-05T02:51:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5d71e2a6f25e08180c6b827a120aaccf1967c651de98780fac2ca29ef97bb76e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-04-29T17:11:14Z","title_canon_sha256":"9016c57fc233def585e0dbacea64349ceb59f01fd2eba47e164b4025a8f12b90"},"schema_version":"1.0","source":{"id":"2004.14339","kind":"arxiv","version":2}},"canonical_sha256":"b987df792f4c1ac66f20dab8f8055592ad104a5c6383516b681e681b9ccd7416","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b987df792f4c1ac66f20dab8f8055592ad104a5c6383516b681e681b9ccd7416","first_computed_at":"2026-07-05T02:51:07.072879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:51:07.072879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EWB47ADa9RiYfkmoRbZzUPOWt+vGTFCrpQc8tv8EFI0N1/o7B5a70m8Jm6oczBDZrPVH6m0iqeiK82Ed1pmpCA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:51:07.073365Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.14339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:773533868b1e2f95503603a9a8c4215eb135a29d3bb44967c3b641e32d41b11f","sha256:e39d067d269623f16f8bc8f82368b512cbe6f96361c2964ce3cdab2d5c2faa7f"],"state_sha256":"ad6826ec3e67f3d70c283fe6dede29b8b891f71ce2ebf7f8f324106a91c2c142"}