{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PS76TOK3HYNOOU4GZJBUCU2ETY","short_pith_number":"pith:PS76TOK3","schema_version":"1.0","canonical_sha256":"7cbfe9b95b3e1ae75386ca434153449e25437502b841df2944c09a5aa5c7aed7","source":{"kind":"arxiv","id":"1612.00858","version":2},"attestation_state":"computed","paper":{"title":"Efficient Z-Gates for Quantum Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christopher J. Wood, David C. McKay, Jay M. Gambetta, Jerry M. Chow, Sarah Sheldon","submitted_at":"2016-12-02T21:02:38Z","abstract_excerpt":"For superconducting qubits, microwave pulses drive rotations around the Bloch sphere. The phase of these drives can be used to generate zero-duration arbitrary \"virtual\" Z-gates which, combined with two $X_{\\pi/2}$ gates, can generate any SU(2) gate. Here we show how to best utilize these virtual Z-gates to both improve algorithms and correct pulse errors. We perform randomized benchmarking using a Clifford set of Hadamard and Z-gates and show that the error per Clifford is reduced versus a set consisting of standard finite-duration X and Y gates. Z-gates can correct unitary rotation errors fo"},"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":"1612.00858","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-02T21:02:38Z","cross_cats_sorted":[],"title_canon_sha256":"951dd4d80c1f97a9fa7e33f198ad314e6c00b154723e0a6514ad53b97d295877","abstract_canon_sha256":"9b4a595b5fea925d4b41270da0a1e675bfec5cabd6d0f889167914db8d17c09c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:59.583689Z","signature_b64":"O4XIY9zg3P66gX3hCctWVfbCLwyKElC7VTgZ19t/N3SpbrjuCdmmI9UiAkDdCNvLLhktGW5q2Ip3Qm8jyAvmCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cbfe9b95b3e1ae75386ca434153449e25437502b841df2944c09a5aa5c7aed7","last_reissued_at":"2026-05-18T00:35:59.583146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:59.583146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Z-Gates for Quantum Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christopher J. Wood, David C. McKay, Jay M. Gambetta, Jerry M. Chow, Sarah Sheldon","submitted_at":"2016-12-02T21:02:38Z","abstract_excerpt":"For superconducting qubits, microwave pulses drive rotations around the Bloch sphere. The phase of these drives can be used to generate zero-duration arbitrary \"virtual\" Z-gates which, combined with two $X_{\\pi/2}$ gates, can generate any SU(2) gate. Here we show how to best utilize these virtual Z-gates to both improve algorithms and correct pulse errors. We perform randomized benchmarking using a Clifford set of Hadamard and Z-gates and show that the error per Clifford is reduced versus a set consisting of standard finite-duration X and Y gates. Z-gates can correct unitary rotation errors fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00858","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":"1612.00858","created_at":"2026-05-18T00:35:59.583225+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.00858v2","created_at":"2026-05-18T00:35:59.583225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00858","created_at":"2026-05-18T00:35:59.583225+00:00"},{"alias_kind":"pith_short_12","alias_value":"PS76TOK3HYNO","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PS76TOK3HYNOOU4G","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PS76TOK3","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.13528","citing_title":"Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms","ref_index":92,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY","json":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY.json","graph_json":"https://pith.science/api/pith-number/PS76TOK3HYNOOU4GZJBUCU2ETY/graph.json","events_json":"https://pith.science/api/pith-number/PS76TOK3HYNOOU4GZJBUCU2ETY/events.json","paper":"https://pith.science/paper/PS76TOK3"},"agent_actions":{"view_html":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY","download_json":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY.json","view_paper":"https://pith.science/paper/PS76TOK3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.00858&json=true","fetch_graph":"https://pith.science/api/pith-number/PS76TOK3HYNOOU4GZJBUCU2ETY/graph.json","fetch_events":"https://pith.science/api/pith-number/PS76TOK3HYNOOU4GZJBUCU2ETY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY/action/storage_attestation","attest_author":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY/action/author_attestation","sign_citation":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY/action/citation_signature","submit_replication":"https://pith.science/pith/PS76TOK3HYNOOU4GZJBUCU2ETY/action/replication_record"}},"created_at":"2026-05-18T00:35:59.583225+00:00","updated_at":"2026-05-18T00:35:59.583225+00:00"}