{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EYT4CZRBOS4NTXEBPXMAFPWLS4","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":"a88a5577e2b43484fd7a80b5bc0984c6573a17878aa47f4439b8c3a815e1a718","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-07-11T16:53:57Z","title_canon_sha256":"68c1324a463cee4e4e291ee690b8a60aacfa2fc9fcca34f50fb3792d0c704898"},"schema_version":"1.0","source":{"id":"1507.03126","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03126","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03126v1","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03126","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"pith_short_12","alias_value":"EYT4CZRBOS4N","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EYT4CZRBOS4NTXEB","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EYT4CZRB","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:297bf4233d170bf08753975991366f9854340db0b987b618c4517fccf7bb697b","target":"graph","created_at":"2026-05-18T01:36:57Z","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"},"paper":{"abstract_excerpt":"In the $k$-junta testing problem, a tester has to efficiently decide whether a given function $f:\\{0,1\\}^n\\rightarrow \\{0,1\\}$ is a $k$-junta (i.e., depends on at most $k$ of its input bits) or is $\\epsilon$-far from any $k$-junta. Our main result is a quantum algorithm for this problem with query complexity $\\tilde O(\\sqrt{k/\\epsilon})$ and time complexity $\\tilde O(n\\sqrt{k/\\epsilon})$. This quadratically improves over the query complexity of the previous best quantum junta tester, due to At\\i c\\i\\ and Servedio. Our tester is based on a new quantum algorithm for a gapped version of the combi","authors_text":"Aleksandrs Belovs, Andris Ambainis, Oded Regev, Ronald de Wolf","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-07-11T16:53:57Z","title":"Efficient Quantum Algorithms for (Gapped) Group Testing and Junta Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03126","kind":"arxiv","version":1},"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:ba4f3caf93bf8406414a19f9e2d67230b580e3d12494d3e4c8eb76272811a436","target":"record","created_at":"2026-05-18T01:36:57Z","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":"a88a5577e2b43484fd7a80b5bc0984c6573a17878aa47f4439b8c3a815e1a718","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-07-11T16:53:57Z","title_canon_sha256":"68c1324a463cee4e4e291ee690b8a60aacfa2fc9fcca34f50fb3792d0c704898"},"schema_version":"1.0","source":{"id":"1507.03126","kind":"arxiv","version":1}},"canonical_sha256":"2627c1662174b8d9dc817dd802becb971ca7ffe02684778919b6bd7d3ea83c09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2627c1662174b8d9dc817dd802becb971ca7ffe02684778919b6bd7d3ea83c09","first_computed_at":"2026-05-18T01:36:57.924867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:57.924867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9bKCBRAq3BZ9yIjTrkXZq/S4rx6iZOl30bynA22WX0ftjZr0yRebpjguSpxSbNThQf9VhlWmkb4bY9my4MXvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:57.925566Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03126","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba4f3caf93bf8406414a19f9e2d67230b580e3d12494d3e4c8eb76272811a436","sha256:297bf4233d170bf08753975991366f9854340db0b987b618c4517fccf7bb697b"],"state_sha256":"bf011597cd87af950868dade8bfef260ac1af8b626f31626ae992d4a5fd0415d"}