{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3RZDH2TBWV2HEKCX4SQRKRHYUI","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":"5786b3206436870e6d5ca766566480685b50f306f8c8e03e5475e4494afd8172","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-10-14T18:00:00Z","title_canon_sha256":"622be781d9721a24a3cc11152e1b8a4f00d87c6651b949c434dffeb82aa5deff"},"schema_version":"1.0","source":{"id":"2110.07613","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.07613","created_at":"2026-07-05T06:55:47Z"},{"alias_kind":"arxiv_version","alias_value":"2110.07613v3","created_at":"2026-07-05T06:55:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.07613","created_at":"2026-07-05T06:55:47Z"},{"alias_kind":"pith_short_12","alias_value":"3RZDH2TBWV2H","created_at":"2026-07-05T06:55:47Z"},{"alias_kind":"pith_short_16","alias_value":"3RZDH2TBWV2HEKCX","created_at":"2026-07-05T06:55:47Z"},{"alias_kind":"pith_short_8","alias_value":"3RZDH2TB","created_at":"2026-07-05T06:55:47Z"}],"graph_snapshots":[{"event_id":"sha256:ecf929d3dff289054df28e9bec2f77b51059e2621d95b429dc9a06ed58b0fc93","target":"graph","created_at":"2026-07-05T06:55:47Z","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/2110.07613/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a family of optimal protocols, in the sense of saturating the quantum Cram\\'{e}r-Rao bound, for measuring a linear combination of $d$ field amplitudes with quantum sensor networks, a key subprotocol of general quantum sensor network applications. We demonstrate how to select different protocols from this family under various constraints. Focusing primarily on entanglement-based constraints, we prove the surprising result that highly entangled states are not necessary to achieve optimality in many cases. Specifically, we prove necessary and sufficient conditions for the existence of o","authors_text":"Adam Ehrenberg, Alexey V. Gorshkov, Jacob Bringewatt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-10-14T18:00:00Z","title":"Minimum Entanglement Protocols for Function Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.07613","kind":"arxiv","version":3},"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:eabaae5cba413b37c164b3e3aac10960a61134a255df8053562779c45f7c1baa","target":"record","created_at":"2026-07-05T06:55:47Z","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":"5786b3206436870e6d5ca766566480685b50f306f8c8e03e5475e4494afd8172","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-10-14T18:00:00Z","title_canon_sha256":"622be781d9721a24a3cc11152e1b8a4f00d87c6651b949c434dffeb82aa5deff"},"schema_version":"1.0","source":{"id":"2110.07613","kind":"arxiv","version":3}},"canonical_sha256":"dc7233ea61b574722857e4a11544f8a22fe72032ff4200e534ac7316349ecb87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc7233ea61b574722857e4a11544f8a22fe72032ff4200e534ac7316349ecb87","first_computed_at":"2026-07-05T06:55:47.128162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:55:47.128162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nkQcRKyR1ztJyeHnfdlQH2Qjs25JueGfhYbAMVxiODdnhELEwO7rgGnT4H2HNlJ7prZmLcKHSJGF1SyUGeY7AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:55:47.128574Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.07613","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eabaae5cba413b37c164b3e3aac10960a61134a255df8053562779c45f7c1baa","sha256:ecf929d3dff289054df28e9bec2f77b51059e2621d95b429dc9a06ed58b0fc93"],"state_sha256":"718483612b6bc42e9fb4620911ec47e395aa15a0f300ccb0a9d1ddfb12e5c11a"}