{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PZHH7RMSKAMYILGLADAZJ67SQJ","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":"bd3ee797ef796a18870cec27e7f71d7741d503f946e6aa6ce70d764d13904143","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-29T20:57:05Z","title_canon_sha256":"d716cc54cd98c07fc5b003e18335f9e77d5b9c9bc19cde8904558bcd1b7cc54f"},"schema_version":"1.0","source":{"id":"2404.19105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.19105","created_at":"2026-07-05T09:35:48Z"},{"alias_kind":"arxiv_version","alias_value":"2404.19105v2","created_at":"2026-07-05T09:35:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.19105","created_at":"2026-07-05T09:35:48Z"},{"alias_kind":"pith_short_12","alias_value":"PZHH7RMSKAMY","created_at":"2026-07-05T09:35:48Z"},{"alias_kind":"pith_short_16","alias_value":"PZHH7RMSKAMYILGL","created_at":"2026-07-05T09:35:48Z"},{"alias_kind":"pith_short_8","alias_value":"PZHH7RMS","created_at":"2026-07-05T09:35:48Z"}],"graph_snapshots":[{"event_id":"sha256:dcbcad115ae279eecc493d7599272324360ffde820be0022ff46db6498eb2046","target":"graph","created_at":"2026-07-05T09:35:48Z","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/2404.19105/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the problem of Pauli shadow tomography: given copies of an unknown $n$-qubit quantum state $\\rho$, estimate $\\text{tr}(P\\rho)$ for some set of Pauli operators $P$ to within additive error $\\epsilon$. This has been a popular testbed for exploring the advantage of protocols with quantum memory over those without: with enough memory to measure two copies at a time, one can use Bell sampling to estimate $|\\text{tr}(P\\rho)|$ for all $P$ using $O(n/\\epsilon^4)$ copies, but with $k\\le n$ qubits of memory, $\\Omega(2^{(n-k)/3})$ copies are needed.\n  These results leave open several natural q","authors_text":"Qi Ye, Sitan Chen, Weiyuan Gong","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-29T20:57:05Z","title":"Optimal tradeoffs for estimating Pauli observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.19105","kind":"arxiv","version":2},"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":"sha256:762adcff9bd2c26281bb3f0cdd9ac1f607d25c2b9c7d68e932124f161ae9189e","target":"record","created_at":"2026-07-05T09:35:48Z","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":"bd3ee797ef796a18870cec27e7f71d7741d503f946e6aa6ce70d764d13904143","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-29T20:57:05Z","title_canon_sha256":"d716cc54cd98c07fc5b003e18335f9e77d5b9c9bc19cde8904558bcd1b7cc54f"},"schema_version":"1.0","source":{"id":"2404.19105","kind":"arxiv","version":2}},"canonical_sha256":"7e4e7fc5925019842ccb00c194fbf282749a69488757be957d6ff1d37e728952","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e4e7fc5925019842ccb00c194fbf282749a69488757be957d6ff1d37e728952","first_computed_at":"2026-07-05T09:35:48.779392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:48.779392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bCspDVNmHW1qQWYL1SSniUEjW6oKt9jDpDV3qnrDMdpjpKDRq1cjIBIQXtqkshFZLgD03QVUxIYBq2x7ewAaAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:48.779920Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.19105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:762adcff9bd2c26281bb3f0cdd9ac1f607d25c2b9c7d68e932124f161ae9189e","sha256:dcbcad115ae279eecc493d7599272324360ffde820be0022ff46db6498eb2046"],"state_sha256":"c9ca0c6da069a00c4283e2ff1fd32913e994afd2e2af67413fce2774c80648d4"}