{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RGJ7OGV2VCGNZA7DNK57FQKHOW","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":"5c17344cccde2864d92d535755788c83fe74bd6bd59bf06e201e8ad44eef897a","cross_cats_sorted":["cs.IT","cs.LG","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-10T18:21:11Z","title_canon_sha256":"b69e31b10a3d7b8d2dea156cb8717e39ea3df037bfc8d5703f8146bd6e4e92ec"},"schema_version":"1.0","source":{"id":"2404.07281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07281","created_at":"2026-07-05T08:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07281v1","created_at":"2026-07-05T08:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07281","created_at":"2026-07-05T08:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"RGJ7OGV2VCGN","created_at":"2026-07-05T08:06:50Z"},{"alias_kind":"pith_short_16","alias_value":"RGJ7OGV2VCGNZA7D","created_at":"2026-07-05T08:06:50Z"},{"alias_kind":"pith_short_8","alias_value":"RGJ7OGV2","created_at":"2026-07-05T08:06:50Z"}],"graph_snapshots":[{"event_id":"sha256:4c6f03b491624df9cc382f1a3ef15a38ce927e4fa279b07c789617fdfe5527fa","target":"graph","created_at":"2026-07-05T08:06:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.07281/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Certifying that an n-qubit state synthesized in the lab is close to the target state is a fundamental task in quantum information science. However, existing rigorous protocols either require deep quantum circuits or exponentially many single-qubit measurements. In this work, we prove that almost all n-qubit target states, including those with exponential circuit complexity, can be certified from only O(n^2) single-qubit measurements. This result is established by a new technique that relates certification to the mixing time of a random walk. Our protocol has applications for benchmarking quant","authors_text":"Hsin-Yuan Huang, John Preskill, Mehdi Soleimanifar","cross_cats":["cs.IT","cs.LG","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-10T18:21:11Z","title":"Certifying almost all quantum states with few single-qubit measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07281","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":"sha256:0dbbf432efe42834c134550e43bfdabaf466dffa414f49e91432e7ed4b94337e","target":"record","created_at":"2026-07-05T08:06:50Z","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":"5c17344cccde2864d92d535755788c83fe74bd6bd59bf06e201e8ad44eef897a","cross_cats_sorted":["cs.IT","cs.LG","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-10T18:21:11Z","title_canon_sha256":"b69e31b10a3d7b8d2dea156cb8717e39ea3df037bfc8d5703f8146bd6e4e92ec"},"schema_version":"1.0","source":{"id":"2404.07281","kind":"arxiv","version":1}},"canonical_sha256":"8993f71abaa88cdc83e36abbf2c147759fc253abd48b77f4084dd7a656a0b24c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8993f71abaa88cdc83e36abbf2c147759fc253abd48b77f4084dd7a656a0b24c","first_computed_at":"2026-07-05T08:06:50.200239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:50.200239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HPcHY5UBRnSr7o/di+zHCbqr1yUwDeZWbjAgqy8IPb9r7q0cb2+S+lplsQHp59Nm1lPCyc/Q68+jSvCAxTAACA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:50.200709Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.07281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dbbf432efe42834c134550e43bfdabaf466dffa414f49e91432e7ed4b94337e","sha256:4c6f03b491624df9cc382f1a3ef15a38ce927e4fa279b07c789617fdfe5527fa"],"state_sha256":"821aa81d690a0b6db026be0fc4be0e965c3080b9b3264fcb39119354621cab5c"}