{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PTUM2IBPO6JQTST4R6FWE73HGU","short_pith_number":"pith:PTUM2IBP","schema_version":"1.0","canonical_sha256":"7ce8cd202f779309ca7c8f8b627f67351a324f6e62318d8e1d49138e0b646659","source":{"kind":"arxiv","id":"1202.2651","version":2},"attestation_state":"computed","paper":{"title":"State succinctness of two-way finite automata with quantum and classical states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"quant-ph","authors_text":"Daowen Qiu, Jozef Gruska, Lvzhou Li, Paulo Mateus, Shenggen Zheng","submitted_at":"2012-02-13T07:42:40Z","abstract_excerpt":"{\\it Two-way quantum automata with quantum and classical states} (2QCFA) were introduced by Ambainis and Watrous in 2002. In this paper we study state succinctness of 2QCFA.\n  For any $m\\in {\\mathbb{Z}}^+$ and any $\\epsilon<1/2$, we show that: {enumerate} there is a promise problem $A^{eq}(m)$ which can be solved by a 2QCFA with one-sided error $\\epsilon$ in a polynomial expected running time with a constant number (that depends neither on $m$ nor on $\\varepsilon$) of quantum states and $\\mathbf{O}(\\log{\\frac{1}{\\epsilon})}$ classical states, whereas the sizes of the corresponding {\\it determi"},"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":"1202.2651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T07:42:40Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"c09b728f88d02121686bf37004111991b5d2f1e3b48a8b11116a1cc60262cb2a","abstract_canon_sha256":"435b5383906294125836b8ae7959a30278b471f406ce0d8245186de59fb41ed0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:02.615349Z","signature_b64":"OYm9pJSB4Yh3qhtoQ0Jqd0vnaWVwvxDB1Y6Nh2BhqfTJdIFprHCYXBteP3x1O/dZbF17LGTgzk1kcbFaTI8YCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ce8cd202f779309ca7c8f8b627f67351a324f6e62318d8e1d49138e0b646659","last_reissued_at":"2026-05-18T03:55:02.614564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:02.614564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"State succinctness of two-way finite automata with quantum and classical states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"quant-ph","authors_text":"Daowen Qiu, Jozef Gruska, Lvzhou Li, Paulo Mateus, Shenggen Zheng","submitted_at":"2012-02-13T07:42:40Z","abstract_excerpt":"{\\it Two-way quantum automata with quantum and classical states} (2QCFA) were introduced by Ambainis and Watrous in 2002. In this paper we study state succinctness of 2QCFA.\n  For any $m\\in {\\mathbb{Z}}^+$ and any $\\epsilon<1/2$, we show that: {enumerate} there is a promise problem $A^{eq}(m)$ which can be solved by a 2QCFA with one-sided error $\\epsilon$ in a polynomial expected running time with a constant number (that depends neither on $m$ nor on $\\varepsilon$) of quantum states and $\\mathbf{O}(\\log{\\frac{1}{\\epsilon})}$ classical states, whereas the sizes of the corresponding {\\it determi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2651","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":"1202.2651","created_at":"2026-05-18T03:55:02.614706+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.2651v2","created_at":"2026-05-18T03:55:02.614706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2651","created_at":"2026-05-18T03:55:02.614706+00:00"},{"alias_kind":"pith_short_12","alias_value":"PTUM2IBPO6JQ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PTUM2IBPO6JQTST4","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PTUM2IBP","created_at":"2026-05-18T12:27:18.751474+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/PTUM2IBPO6JQTST4R6FWE73HGU","json":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU.json","graph_json":"https://pith.science/api/pith-number/PTUM2IBPO6JQTST4R6FWE73HGU/graph.json","events_json":"https://pith.science/api/pith-number/PTUM2IBPO6JQTST4R6FWE73HGU/events.json","paper":"https://pith.science/paper/PTUM2IBP"},"agent_actions":{"view_html":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU","download_json":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU.json","view_paper":"https://pith.science/paper/PTUM2IBP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.2651&json=true","fetch_graph":"https://pith.science/api/pith-number/PTUM2IBPO6JQTST4R6FWE73HGU/graph.json","fetch_events":"https://pith.science/api/pith-number/PTUM2IBPO6JQTST4R6FWE73HGU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU/action/storage_attestation","attest_author":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU/action/author_attestation","sign_citation":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU/action/citation_signature","submit_replication":"https://pith.science/pith/PTUM2IBPO6JQTST4R6FWE73HGU/action/replication_record"}},"created_at":"2026-05-18T03:55:02.614706+00:00","updated_at":"2026-05-18T03:55:02.614706+00:00"}