{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:7FFSDIK2MKFEMQAZF5AWVNWMJP","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":"c1072a550c694a5a0887bcf214414b85895eac00b5de12bba3813eebe5a905e1","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1997-02-16T09:02:05Z","title_canon_sha256":"ceba0d1afe55bbbb4a866140024cc5d6423d328bbc2a01f94ec346fe196ad8f1"},"schema_version":"1.0","source":{"id":"quant-ph/9702033","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9702033","created_at":"2026-07-04T16:06:28Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9702033v3","created_at":"2026-07-04T16:06:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9702033","created_at":"2026-07-04T16:06:28Z"},{"alias_kind":"pith_short_12","alias_value":"7FFSDIK2MKFE","created_at":"2026-07-04T16:06:28Z"},{"alias_kind":"pith_short_16","alias_value":"7FFSDIK2MKFEMQAZ","created_at":"2026-07-04T16:06:28Z"},{"alias_kind":"pith_short_8","alias_value":"7FFSDIK2","created_at":"2026-07-04T16:06:28Z"}],"graph_snapshots":[{"event_id":"sha256:0b7fb0989148c7e899f0bb2f19a71213c33d8886f916b14605c12250d5a81458","target":"graph","created_at":"2026-07-04T16:06:28Z","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/quant-ph/9702033/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I construct a quantum error correction code (QECC) in higher spin systems using the idea of multiplicative group character. Each $N$ state quantum particle is encoded as five $N$ state quantum registers. By doing so, this code can correct any quantum error arising from any one of the five quantum registers. This code generalizes the well-known five qubit perfect code in spin-1/2 systems and is shown to be optimal for higher spin systems. I also report a simple algorithm for encoding. The importance of multiplicative group character in constructing QECCs will be addressed.","authors_text":"H. F. Chau","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1997-02-16T09:02:05Z","title":"Five Quantum Register Error Correction Code For Higher Spin Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9702033","kind":"arxiv","version":3},"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":"sha256:0caa0395e1eba490460da8d6e30963ff75b18e5522d992ec2c125e3059ad492b","target":"record","created_at":"2026-07-04T16:06:28Z","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":"c1072a550c694a5a0887bcf214414b85895eac00b5de12bba3813eebe5a905e1","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1997-02-16T09:02:05Z","title_canon_sha256":"ceba0d1afe55bbbb4a866140024cc5d6423d328bbc2a01f94ec346fe196ad8f1"},"schema_version":"1.0","source":{"id":"quant-ph/9702033","kind":"arxiv","version":3}},"canonical_sha256":"f94b21a15a628a4640192f416ab6cc4bcb8c7857bfebed95f598f7838f074d3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f94b21a15a628a4640192f416ab6cc4bcb8c7857bfebed95f598f7838f074d3d","first_computed_at":"2026-07-04T16:06:28.372474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:06:28.372474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jyKXKFZUe6aUNPmwkrk+UQESlMemPNTUxYJFnAelu8PH3Pax/I9kQMkVjQqBNI0/NfWQPYMca40GXBJLs7WCCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:06:28.372862Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9702033","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0caa0395e1eba490460da8d6e30963ff75b18e5522d992ec2c125e3059ad492b","sha256:0b7fb0989148c7e899f0bb2f19a71213c33d8886f916b14605c12250d5a81458"],"state_sha256":"43d6e6dd4015b9ec415db6c38b2dcfaded4ee26410510a5428396614b84b0853"}