{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4D5FNZLO6WJVHNXMRVEZTJRKRL","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":"20194a5666e109316f75a8ba9985a2d2bb49a2d8b6be29eec2c933ea33b93865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-30T10:25:01Z","title_canon_sha256":"67e49a61cf44745f135ecec3a0be62cf6ea4b87fc6ede37c4fe5acc289d32d2f"},"schema_version":"1.0","source":{"id":"1612.09444","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09444","created_at":"2026-05-18T00:40:51Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09444v2","created_at":"2026-05-18T00:40:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09444","created_at":"2026-05-18T00:40:51Z"},{"alias_kind":"pith_short_12","alias_value":"4D5FNZLO6WJV","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4D5FNZLO6WJVHNXM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4D5FNZLO","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:35497e3825177f6e60976ebfade38f83f0aaadd424a5a40ccf4f4103bfca236b","target":"graph","created_at":"2026-05-18T00:40:51Z","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"},"paper":{"abstract_excerpt":"We consider the explicit construction of resource states for measurement-based quantum information processing. We concentrate on special-purpose resource states that are capable to perform a certain operation or task, where we consider unitary Clifford circuits as well as non-trace preserving completely positive maps, more specifically probabilistic operations including Clifford operations and Pauli measurements. We concentrate on $1 \\to m$ and $m \\to 1$ operations, i.e. operations that map one input qubit to $m$ output qubits or vice versa. Examples of such operations include encoding and dec","authors_text":"Alexander Pirker, Hans J. Briegel, Julius Walln\\\"ofer, Wolfgang D\\\"ur","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-30T10:25:01Z","title":"Construction of optimal resources for concatenated quantum protocols"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09444","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:b55d374ae30f7cd3b7bcafe9abe82887ce92f4b74350fbf73f3e99c9671c34a8","target":"record","created_at":"2026-05-18T00:40:51Z","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":"20194a5666e109316f75a8ba9985a2d2bb49a2d8b6be29eec2c933ea33b93865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-30T10:25:01Z","title_canon_sha256":"67e49a61cf44745f135ecec3a0be62cf6ea4b87fc6ede37c4fe5acc289d32d2f"},"schema_version":"1.0","source":{"id":"1612.09444","kind":"arxiv","version":2}},"canonical_sha256":"e0fa56e56ef59353b6ec8d4999a62a8ad2ec77d7a3ef61b263bde000e706c6b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0fa56e56ef59353b6ec8d4999a62a8ad2ec77d7a3ef61b263bde000e706c6b3","first_computed_at":"2026-05-18T00:40:51.375654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:51.375654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c2NHleEjLAjgF8PGJWJBMRpxLpNtTDDLZKHJTAvQ1K3jSrAT3tJCAn+n/jYJQvST/oag3ALLJOrmMzsYihk9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:51.376393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09444","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b55d374ae30f7cd3b7bcafe9abe82887ce92f4b74350fbf73f3e99c9671c34a8","sha256:35497e3825177f6e60976ebfade38f83f0aaadd424a5a40ccf4f4103bfca236b"],"state_sha256":"cd2e0ae380dc056681f416cd13859d3c4e2aa68ef475e0603d2f13a95a73eb6f"}