{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:K5ETII66VY3HDVOKNBTCUD3UH7","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":"2682f4cb8bdc46631334966273bf6551a5a96abc2d2b367b08e8ede8951603da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","title_canon_sha256":"375b49a0fd1f6822f4bcb6da600ccf8230e8df5ea6842ee27033740b22e3ca6f"},"schema_version":"1.0","source":{"id":"2512.21260","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.21260","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"2512.21260v2","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.21260","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"K5ETII66VY3H","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_16","alias_value":"K5ETII66VY3HDVOK","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_8","alias_value":"K5ETII66","created_at":"2026-05-20T00:03:00Z"}],"graph_snapshots":[{"event_id":"sha256:e1648abce318f1e68ff037958e60d4258391fbea47cb904a55dae3360d566757","target":"graph","created_at":"2026-05-20T00:03:00Z","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/2512.21260/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a quantum circuit that implements the random dilation superchannel, transforming parallel queries of an unknown quantum channel into the same number of parallel queries of a randomly chosen dilation isometry of the input channel. This is a natural generalization of the random purification channel, that transforms copies of an unknown mixed state to copies of a randomly chosen purification state. The circuit complexity of our construction is $O(\\mathrm{poly}(n, \\log d_I, \\log d_O))$, where $n$ is the number of queries and $d_I$ and $d_O$ are the input and output dimensions of the inp","authors_text":"Mio Murao, Ryotaro Niwa, Ryuji Takagi, Satoshi Yoshida, Takeru Utsumi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","title":"Random dilation superchannel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.21260","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":"sha256:79931ca5f64b5585602016d58a15961a3856dfabbb932c34860c001ced197add","target":"record","created_at":"2026-05-20T00:03:00Z","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":"2682f4cb8bdc46631334966273bf6551a5a96abc2d2b367b08e8ede8951603da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","title_canon_sha256":"375b49a0fd1f6822f4bcb6da600ccf8230e8df5ea6842ee27033740b22e3ca6f"},"schema_version":"1.0","source":{"id":"2512.21260","kind":"arxiv","version":2}},"canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","first_computed_at":"2026-05-20T00:03:00.781801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:00.781801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RgaDPSB9RcpJwR78bBB3/ACPP/H7LheAiow3KVdBnZZEg1liCn40UgjQYlm42QriIHBDWc/gQ6q80pR2oUShDw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:00.782569Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.21260","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79931ca5f64b5585602016d58a15961a3856dfabbb932c34860c001ced197add","sha256:e1648abce318f1e68ff037958e60d4258391fbea47cb904a55dae3360d566757"],"state_sha256":"3776e3fdcc81dfc89fe368d9982462f1d2bd0ad8372a4514d1ddc7f21d1e74e0"}