{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:AH425PZ4Y2XDS2B2JS4J3LQW7M","short_pith_number":"pith:AH425PZ4","canonical_record":{"source":{"id":"2207.10007","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-20T16:09:28Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0391a907d322dd7fd7024571886df96b6965786199ad12d257a39390b49997c3","abstract_canon_sha256":"5785c4f4b740bb177b924292d005500531588615afb8fea0c6fa807c9c41b9f6"},"schema_version":"1.0"},"canonical_sha256":"01f9aebf3cc6ae39683a4cb89dae16fb22bd9c93af56ebffebb1bfd3b5ff2034","source":{"kind":"arxiv","id":"2207.10007","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10007","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10007v2","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10007","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"pith_short_12","alias_value":"AH425PZ4Y2XD","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"pith_short_16","alias_value":"AH425PZ4Y2XDS2B2","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"pith_short_8","alias_value":"AH425PZ4","created_at":"2026-07-05T06:10:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:AH425PZ4Y2XDS2B2JS4J3LQW7M","target":"record","payload":{"canonical_record":{"source":{"id":"2207.10007","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-20T16:09:28Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0391a907d322dd7fd7024571886df96b6965786199ad12d257a39390b49997c3","abstract_canon_sha256":"5785c4f4b740bb177b924292d005500531588615afb8fea0c6fa807c9c41b9f6"},"schema_version":"1.0"},"canonical_sha256":"01f9aebf3cc6ae39683a4cb89dae16fb22bd9c93af56ebffebb1bfd3b5ff2034","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:10:17.688805Z","signature_b64":"dOJNB4Ger5hFFbHH3IDqqwEhqmyCYAwrplPHerl4hfueTd298K2SlD/doCQ7RDfRJHKHg0xqEo/pT7sOmHMXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01f9aebf3cc6ae39683a4cb89dae16fb22bd9c93af56ebffebb1bfd3b5ff2034","last_reissued_at":"2026-07-05T06:10:17.688336Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:10:17.688336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.10007","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:10:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DNcAmHZmZZdgEE3cj3NBsXOp/YZuyj17DRoSAt2lZ7L0jdhGd/rTDP1oASnOfKSwic0UX5ll0OrrWBGCoYADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T22:07:42.767861Z"},"content_sha256":"d9a64d15aef5b094c7d6a3ad0fe9c5b13c0f900914baf975ce7c2734de359701","schema_version":"1.0","event_id":"sha256:d9a64d15aef5b094c7d6a3ad0fe9c5b13c0f900914baf975ce7c2734de359701"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:AH425PZ4Y2XDS2B2JS4J3LQW7M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-Unitary Decomposition Algorithm and Open Quantum System Simulation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"quant-ph","authors_text":"Filip Wudarski, Jeffrey Marshall, Joseph Barreto, Nathan Wiebe, Nishchay Suri, Stuart Hadfield","submitted_at":"2022-07-20T16:09:28Z","abstract_excerpt":"Simulating general quantum processes that describe realistic interactions of quantum systems following a non-unitary evolution is challenging for conventional quantum computers that directly implement unitary gates. We analyze complexities for promising methods such as the Sz.-Nagy dilation and linear combination of unitaries that can simulate open systems by the probabilistic realization of non-unitary operators, requiring multiple calls to both the encoding and state preparation oracles. We propose a quantum two-unitary decomposition (TUD) algorithm to decompose a $d$-dimensional operator $A"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10007","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/2207.10007/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:10:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YoVJpMskQEdR9KrMqx2vKUzwuBNakm5uRcGKWiqV1Ve7eVZFiuhBWtjmQcLXsi0BbocvWJODGEB7yntawanEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T22:07:42.768244Z"},"content_sha256":"6ffb6cf194eb92a0a748f9d6b8ef1dec95f921d44c9abc42f21e1bb14c3e3fe8","schema_version":"1.0","event_id":"sha256:6ffb6cf194eb92a0a748f9d6b8ef1dec95f921d44c9abc42f21e1bb14c3e3fe8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M/bundle.json","state_url":"https://pith.science/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-12T22:07:42Z","links":{"resolver":"https://pith.science/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M","bundle":"https://pith.science/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M/bundle.json","state":"https://pith.science/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AH425PZ4Y2XDS2B2JS4J3LQW7M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:AH425PZ4Y2XDS2B2JS4J3LQW7M","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":"5785c4f4b740bb177b924292d005500531588615afb8fea0c6fa807c9c41b9f6","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-20T16:09:28Z","title_canon_sha256":"0391a907d322dd7fd7024571886df96b6965786199ad12d257a39390b49997c3"},"schema_version":"1.0","source":{"id":"2207.10007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10007","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10007v2","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10007","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"pith_short_12","alias_value":"AH425PZ4Y2XD","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"pith_short_16","alias_value":"AH425PZ4Y2XDS2B2","created_at":"2026-07-05T06:10:17Z"},{"alias_kind":"pith_short_8","alias_value":"AH425PZ4","created_at":"2026-07-05T06:10:17Z"}],"graph_snapshots":[{"event_id":"sha256:6ffb6cf194eb92a0a748f9d6b8ef1dec95f921d44c9abc42f21e1bb14c3e3fe8","target":"graph","created_at":"2026-07-05T06:10:17Z","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/2207.10007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Simulating general quantum processes that describe realistic interactions of quantum systems following a non-unitary evolution is challenging for conventional quantum computers that directly implement unitary gates. We analyze complexities for promising methods such as the Sz.-Nagy dilation and linear combination of unitaries that can simulate open systems by the probabilistic realization of non-unitary operators, requiring multiple calls to both the encoding and state preparation oracles. We propose a quantum two-unitary decomposition (TUD) algorithm to decompose a $d$-dimensional operator $A","authors_text":"Filip Wudarski, Jeffrey Marshall, Joseph Barreto, Nathan Wiebe, Nishchay Suri, Stuart Hadfield","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-20T16:09:28Z","title":"Two-Unitary Decomposition Algorithm and Open Quantum System Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10007","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:d9a64d15aef5b094c7d6a3ad0fe9c5b13c0f900914baf975ce7c2734de359701","target":"record","created_at":"2026-07-05T06:10:17Z","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":"5785c4f4b740bb177b924292d005500531588615afb8fea0c6fa807c9c41b9f6","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-20T16:09:28Z","title_canon_sha256":"0391a907d322dd7fd7024571886df96b6965786199ad12d257a39390b49997c3"},"schema_version":"1.0","source":{"id":"2207.10007","kind":"arxiv","version":2}},"canonical_sha256":"01f9aebf3cc6ae39683a4cb89dae16fb22bd9c93af56ebffebb1bfd3b5ff2034","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01f9aebf3cc6ae39683a4cb89dae16fb22bd9c93af56ebffebb1bfd3b5ff2034","first_computed_at":"2026-07-05T06:10:17.688336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:10:17.688336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dOJNB4Ger5hFFbHH3IDqqwEhqmyCYAwrplPHerl4hfueTd298K2SlD/doCQ7RDfRJHKHg0xqEo/pT7sOmHMXDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:10:17.688805Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.10007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9a64d15aef5b094c7d6a3ad0fe9c5b13c0f900914baf975ce7c2734de359701","sha256:6ffb6cf194eb92a0a748f9d6b8ef1dec95f921d44c9abc42f21e1bb14c3e3fe8"],"state_sha256":"96b09e0e1872deb4c78b61e782a6634042abbe5692eebcdcd0542126988df152"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C2t6DSxgnxSkumyPToWHsKWY/5k2V3564FxRIFvw1wyyyPg8APu94UrmwwNnkcUVz/YUpNS0/gF8f05raGwrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-12T22:07:42.772290Z","bundle_sha256":"e14a2e0e1fd7a4cd9dc1999255046f4aa5e6aeaeeeb88fbbdeb60c6fcdb90674"}}