{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IJNZAEODD2BVUHOVS3W7AHU376","short_pith_number":"pith:IJNZAEOD","schema_version":"1.0","canonical_sha256":"425b9011c31e835a1dd596edf01e9bff9fab726c9fad52f70672dbdf8e28e008","source":{"kind":"arxiv","id":"1606.09290","version":3},"attestation_state":"computed","paper":{"title":"Deterministic construction of arbitrary $W$ states with quadratically increasing number of two-qubit gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Firat Diker","submitted_at":"2016-06-28T12:41:25Z","abstract_excerpt":"We propose a quantum circuit composed of $cNOT$ gates and four single-qubit gates to generate a $W$ state of three qubits. This circuit was then enhanced by integrating two-qubit gates to create a $W$ state of four and five qubits. After a couple of enhancements, we show that an arbitrary $W$ state can be generated depending only on the degree of enhancement. The generalized formula for the number of two-qubit gates required is given, showing that an $n$-qubit $W$-state generation can be achieved with quadratically increasing number of two-qubit gates. Also, the practical feasibility is discus"},"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":"1606.09290","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-28T12:41:25Z","cross_cats_sorted":[],"title_canon_sha256":"1beabec4a8138667da7b3a60c74177a62aa83c5e0227940845c1c299198fb88e","abstract_canon_sha256":"c4d9a1e807fe1a940454887cb6e476a6dcd1142090553f093a3017c6c3846c7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:59:49.704932Z","signature_b64":"HuPFHUQHK8Wd1r890jBhnk7x1TwoZqnclQtgpIHFDwp1VOXqD5SJZ4PRTTf71XS0GIgP4+RbrEKKakG+pS4PCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"425b9011c31e835a1dd596edf01e9bff9fab726c9fad52f70672dbdf8e28e008","last_reissued_at":"2026-07-05T11:59:49.704511Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:59:49.704511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deterministic construction of arbitrary $W$ states with quadratically increasing number of two-qubit gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Firat Diker","submitted_at":"2016-06-28T12:41:25Z","abstract_excerpt":"We propose a quantum circuit composed of $cNOT$ gates and four single-qubit gates to generate a $W$ state of three qubits. This circuit was then enhanced by integrating two-qubit gates to create a $W$ state of four and five qubits. After a couple of enhancements, we show that an arbitrary $W$ state can be generated depending only on the degree of enhancement. The generalized formula for the number of two-qubit gates required is given, showing that an $n$-qubit $W$-state generation can be achieved with quadratically increasing number of two-qubit gates. Also, the practical feasibility is discus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09290","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1606.09290/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1606.09290","created_at":"2026-07-05T11:59:49.704565+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.09290v3","created_at":"2026-07-05T11:59:49.704565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09290","created_at":"2026-07-05T11:59:49.704565+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJNZAEODD2BV","created_at":"2026-07-05T11:59:49.704565+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJNZAEODD2BVUHOV","created_at":"2026-07-05T11:59:49.704565+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJNZAEOD","created_at":"2026-07-05T11:59:49.704565+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.03445","citing_title":"TensorQC: Towards Scalable Distributed Quantum Computing via Tensor Networks","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376","json":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376.json","graph_json":"https://pith.science/api/pith-number/IJNZAEODD2BVUHOVS3W7AHU376/graph.json","events_json":"https://pith.science/api/pith-number/IJNZAEODD2BVUHOVS3W7AHU376/events.json","paper":"https://pith.science/paper/IJNZAEOD"},"agent_actions":{"view_html":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376","download_json":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376.json","view_paper":"https://pith.science/paper/IJNZAEOD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.09290&json=true","fetch_graph":"https://pith.science/api/pith-number/IJNZAEODD2BVUHOVS3W7AHU376/graph.json","fetch_events":"https://pith.science/api/pith-number/IJNZAEODD2BVUHOVS3W7AHU376/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376/action/storage_attestation","attest_author":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376/action/author_attestation","sign_citation":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376/action/citation_signature","submit_replication":"https://pith.science/pith/IJNZAEODD2BVUHOVS3W7AHU376/action/replication_record"}},"created_at":"2026-07-05T11:59:49.704565+00:00","updated_at":"2026-07-05T11:59:49.704565+00:00"}