{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PMUUFSMGEGBQRQUDFPABAMNN3F","short_pith_number":"pith:PMUUFSMG","schema_version":"1.0","canonical_sha256":"7b2942c986218308c2832bc01031add961589c31c292690179573e12306b9d13","source":{"kind":"arxiv","id":"1106.3720","version":2},"attestation_state":"computed","paper":{"title":"Not all physical errors can be linear CPTP maps in a correlation space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Keisuke Fujii, Tomoyuki Morimae","submitted_at":"2011-06-19T08:37:01Z","abstract_excerpt":"In the framework of quantum computational tensor network, which is a general framework of measurement-based quantum computation, the resource many-body state is represented in a tensor-network form, and universal quantum computation is performed in a virtual linear space, which is called a correlation space, where tensors live. Since any unitary operation, state preparation, and the projection measurement in the computational basis can be simulated in a correlation space, it is natural to expect that fault-tolerant quantum circuits can also be simulated in a correlation space. However, we poin"},"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":"1106.3720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-19T08:37:01Z","cross_cats_sorted":[],"title_canon_sha256":"06e5ebd0db48c159477bbc9e400690586ecc8b91b9eb9fdbae91817bcaa5598b","abstract_canon_sha256":"cddf1e476d24ff349662f18423de7f9ffbcdf084cee0d63bd42b92bf49d1d7b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:45.864169Z","signature_b64":"WXvUkBbfjvIZ8nh6FIhhjHk+JFH5oOgu3RBg2JF1ipcWDP3sTXa7mn1PX2w+EfKzDRC/gJx0f6IC4OxS/YVYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b2942c986218308c2832bc01031add961589c31c292690179573e12306b9d13","last_reissued_at":"2026-05-18T03:49:45.863377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:45.863377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Not all physical errors can be linear CPTP maps in a correlation space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Keisuke Fujii, Tomoyuki Morimae","submitted_at":"2011-06-19T08:37:01Z","abstract_excerpt":"In the framework of quantum computational tensor network, which is a general framework of measurement-based quantum computation, the resource many-body state is represented in a tensor-network form, and universal quantum computation is performed in a virtual linear space, which is called a correlation space, where tensors live. Since any unitary operation, state preparation, and the projection measurement in the computational basis can be simulated in a correlation space, it is natural to expect that fault-tolerant quantum circuits can also be simulated in a correlation space. However, we poin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3720","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":"1106.3720","created_at":"2026-05-18T03:49:45.863502+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.3720v2","created_at":"2026-05-18T03:49:45.863502+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3720","created_at":"2026-05-18T03:49:45.863502+00:00"},{"alias_kind":"pith_short_12","alias_value":"PMUUFSMGEGBQ","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PMUUFSMGEGBQRQUD","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PMUUFSMG","created_at":"2026-05-18T12:26:39.201973+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/PMUUFSMGEGBQRQUDFPABAMNN3F","json":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F.json","graph_json":"https://pith.science/api/pith-number/PMUUFSMGEGBQRQUDFPABAMNN3F/graph.json","events_json":"https://pith.science/api/pith-number/PMUUFSMGEGBQRQUDFPABAMNN3F/events.json","paper":"https://pith.science/paper/PMUUFSMG"},"agent_actions":{"view_html":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F","download_json":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F.json","view_paper":"https://pith.science/paper/PMUUFSMG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.3720&json=true","fetch_graph":"https://pith.science/api/pith-number/PMUUFSMGEGBQRQUDFPABAMNN3F/graph.json","fetch_events":"https://pith.science/api/pith-number/PMUUFSMGEGBQRQUDFPABAMNN3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F/action/storage_attestation","attest_author":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F/action/author_attestation","sign_citation":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F/action/citation_signature","submit_replication":"https://pith.science/pith/PMUUFSMGEGBQRQUDFPABAMNN3F/action/replication_record"}},"created_at":"2026-05-18T03:49:45.863502+00:00","updated_at":"2026-05-18T03:49:45.863502+00:00"}