{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YM33JKLOVPYOGDLBUDLC3EA33G","short_pith_number":"pith:YM33JKLO","schema_version":"1.0","canonical_sha256":"c337b4a96eabf0e30d61a0d62d901bd99859bad7e5ac5cc4dd29eee819b6a4a6","source":{"kind":"arxiv","id":"1409.6242","version":2},"attestation_state":"computed","paper":{"title":"Resource quality of a symmetry-protected topologically ordered phase for quantum computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Akimasa Miyake, Jacob Miller","submitted_at":"2014-09-22T16:51:44Z","abstract_excerpt":"We investigate entanglement naturally present in the 1D topologically ordered phase protected with the on-site symmetry group of an octahedron as a potential resource for teleportation-based quantum computation. We show that, as long as certain characteristic lengths are finite, all its ground states have the capability to implement any unit-fidelity one-qubit gate operation asymptotically as a key computational building block. This feature is intrinsic to the entire phase, in that perfect gate fidelity coincides with perfect string order parameters under a state-insensitive renormalization pr"},"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":"1409.6242","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-22T16:51:44Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"b4f73a9fe870c2508b8abd2f84840cf5d7e18dbda93728d76f8680f3862cb303","abstract_canon_sha256":"47ac71c990996fdc1675fc96cf9f3635ec550e8c76f109b4387b33b6a702964e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:10.098485Z","signature_b64":"xJyuNntogbQskBsu68s9k1T+RDlvYp8xOUWhGC3m15p0V+wwGR1yDXX7cUnaErb54sxbNoNd/0zaN41BHmCEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c337b4a96eabf0e30d61a0d62d901bd99859bad7e5ac5cc4dd29eee819b6a4a6","last_reissued_at":"2026-05-18T02:20:10.098027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:10.098027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resource quality of a symmetry-protected topologically ordered phase for quantum computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Akimasa Miyake, Jacob Miller","submitted_at":"2014-09-22T16:51:44Z","abstract_excerpt":"We investigate entanglement naturally present in the 1D topologically ordered phase protected with the on-site symmetry group of an octahedron as a potential resource for teleportation-based quantum computation. We show that, as long as certain characteristic lengths are finite, all its ground states have the capability to implement any unit-fidelity one-qubit gate operation asymptotically as a key computational building block. This feature is intrinsic to the entire phase, in that perfect gate fidelity coincides with perfect string order parameters under a state-insensitive renormalization pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6242","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":""},"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":"1409.6242","created_at":"2026-05-18T02:20:10.098100+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.6242v2","created_at":"2026-05-18T02:20:10.098100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6242","created_at":"2026-05-18T02:20:10.098100+00:00"},{"alias_kind":"pith_short_12","alias_value":"YM33JKLOVPYO","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YM33JKLOVPYOGDLB","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YM33JKLO","created_at":"2026-05-18T12:28:57.508820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G","json":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G.json","graph_json":"https://pith.science/api/pith-number/YM33JKLOVPYOGDLBUDLC3EA33G/graph.json","events_json":"https://pith.science/api/pith-number/YM33JKLOVPYOGDLBUDLC3EA33G/events.json","paper":"https://pith.science/paper/YM33JKLO"},"agent_actions":{"view_html":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G","download_json":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G.json","view_paper":"https://pith.science/paper/YM33JKLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.6242&json=true","fetch_graph":"https://pith.science/api/pith-number/YM33JKLOVPYOGDLBUDLC3EA33G/graph.json","fetch_events":"https://pith.science/api/pith-number/YM33JKLOVPYOGDLBUDLC3EA33G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G/action/storage_attestation","attest_author":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G/action/author_attestation","sign_citation":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G/action/citation_signature","submit_replication":"https://pith.science/pith/YM33JKLOVPYOGDLBUDLC3EA33G/action/replication_record"}},"created_at":"2026-05-18T02:20:10.098100+00:00","updated_at":"2026-05-18T02:20:10.098100+00:00"}