{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:G7AXJTDLSZ52ADAO4OUVJAXKEO","short_pith_number":"pith:G7AXJTDL","schema_version":"1.0","canonical_sha256":"37c174cc6b967ba00c0ee3a95482ea23a142a58a37f9f02affbb6bcefbbdf80f","source":{"kind":"arxiv","id":"1009.5968","version":2},"attestation_state":"computed","paper":{"title":"Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Carlini, A. Hosoya, T. Koike, Y. Okudaira","submitted_at":"2010-09-29T18:23:55Z","abstract_excerpt":"We give analytical solutions for the time-optimal synthesis of entangling gates between indirectly coupled qubits 1 and 3 in a linear spin chain of three qubits subject to an Ising Hamiltonian interaction with equal coupling $J$ plus a local magnetic field acting on the intermediate qubit. The energy available is fixed, but we relax the standard assumption of instantaneous unitary operations acting on single qubits. The time required for performing an entangling gate which is equivalent, modulo local unitary operations, to the $\\mathrm{CNOT}(1, 3)$ between the indirectly coupled qubits 1 and 3"},"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":"1009.5968","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-29T18:23:55Z","cross_cats_sorted":[],"title_canon_sha256":"784e792c422fdaf8a7fb5770e2384a165a65ff78050308c3c5dd12f88b9190d5","abstract_canon_sha256":"4565a32529a910e21ece458bd5d05a4c9aedf3cc2a1d29b87dcf578a027588d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:39.382563Z","signature_b64":"q5PIcHtya1dExpCHgz5ley4RE056S7n7lgqOv1wJsAi5ucg5UkYRuqfLDOwTrAMK2a7ndpN2D5szuO5fIybGBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37c174cc6b967ba00c0ee3a95482ea23a142a58a37f9f02affbb6bcefbbdf80f","last_reissued_at":"2026-05-18T02:32:39.382009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:39.382009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Carlini, A. Hosoya, T. Koike, Y. Okudaira","submitted_at":"2010-09-29T18:23:55Z","abstract_excerpt":"We give analytical solutions for the time-optimal synthesis of entangling gates between indirectly coupled qubits 1 and 3 in a linear spin chain of three qubits subject to an Ising Hamiltonian interaction with equal coupling $J$ plus a local magnetic field acting on the intermediate qubit. The energy available is fixed, but we relax the standard assumption of instantaneous unitary operations acting on single qubits. The time required for performing an entangling gate which is equivalent, modulo local unitary operations, to the $\\mathrm{CNOT}(1, 3)$ between the indirectly coupled qubits 1 and 3"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5968","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":"1009.5968","created_at":"2026-05-18T02:32:39.382102+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.5968v2","created_at":"2026-05-18T02:32:39.382102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5968","created_at":"2026-05-18T02:32:39.382102+00:00"},{"alias_kind":"pith_short_12","alias_value":"G7AXJTDLSZ52","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"G7AXJTDLSZ52ADAO","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"G7AXJTDL","created_at":"2026-05-18T12:26:07.630475+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/G7AXJTDLSZ52ADAO4OUVJAXKEO","json":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO.json","graph_json":"https://pith.science/api/pith-number/G7AXJTDLSZ52ADAO4OUVJAXKEO/graph.json","events_json":"https://pith.science/api/pith-number/G7AXJTDLSZ52ADAO4OUVJAXKEO/events.json","paper":"https://pith.science/paper/G7AXJTDL"},"agent_actions":{"view_html":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO","download_json":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO.json","view_paper":"https://pith.science/paper/G7AXJTDL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.5968&json=true","fetch_graph":"https://pith.science/api/pith-number/G7AXJTDLSZ52ADAO4OUVJAXKEO/graph.json","fetch_events":"https://pith.science/api/pith-number/G7AXJTDLSZ52ADAO4OUVJAXKEO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO/action/storage_attestation","attest_author":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO/action/author_attestation","sign_citation":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO/action/citation_signature","submit_replication":"https://pith.science/pith/G7AXJTDLSZ52ADAO4OUVJAXKEO/action/replication_record"}},"created_at":"2026-05-18T02:32:39.382102+00:00","updated_at":"2026-05-18T02:32:39.382102+00:00"}