{"paper":{"title":"A Framework for Spatial Quantum Sensing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Entanglement in quantum sensor networks achieves maximal precision for field estimation under global resource constraints.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Damian Markham, Lu\\'is Bugalho, Yasser Omar","submitted_at":"2026-02-12T17:24:51Z","abstract_excerpt":"Quantum sensor networks promise precision advantages over classical and single-sensor strategies, in particular when the estimator is non-local. We address the problem of finding such estimators through a framework we connote spatial quantum sensing: given an underlying field interrogated by a network of quantum sensors at fixed positions, construct an estimator for a property of the field, for example, distinguishing a source of signal, or evaluating the field or its derivatives at an arbitrary point. We first treat polynomial fields, casting the task as an interpolation problem, and then gen"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Comparing a non-local entangled protocol with the best local strategy, we show that entanglement yields maximal precision in distributed sensing under global resource constraints.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The underlying field must be exactly polynomial or analytic, and sensor positions must satisfy the necessary and sufficient conditions derived from algebraic geometry for the estimators to be well-defined and error-free.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new framework for spatial quantum sensing constructs non-local estimators for field properties using quantum sensor networks, with algebraic geometry for exact placements, entanglement for maximal precision, and error-free subspaces to cut sensor requirements.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Entanglement in quantum sensor networks achieves maximal precision for field estimation under global resource constraints.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"81f9e8fbf52585ac559b0aa90882b4311d3b46cbf5c2a22518d3effb9bb3d04e"},"source":{"id":"2602.12193","kind":"arxiv","version":2},"verdict":{"id":"b3051cfd-0c91-4014-84bc-f75ec50c838f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T02:40:12.896800Z","strongest_claim":"Comparing a non-local entangled protocol with the best local strategy, we show that entanglement yields maximal precision in distributed sensing under global resource constraints.","one_line_summary":"A new framework for spatial quantum sensing constructs non-local estimators for field properties using quantum sensor networks, with algebraic geometry for exact placements, entanglement for maximal precision, and error-free subspaces to cut sensor requirements.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The underlying field must be exactly polynomial or analytic, and sensor positions must satisfy the necessary and sufficient conditions derived from algebraic geometry for the estimators to be well-defined and error-free.","pith_extraction_headline":"Entanglement in quantum sensor networks achieves maximal precision for field estimation under global resource constraints."},"references":{"count":38,"sample":[{"doi":"10.1142/s0219749909004839","year":2009,"title":"QUANTUM ESTIMATION FOR QUANTUM TECHNOLOGY","work_id":"46e76ddc-dc91-456a-8b30-60c58a39d46e","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1103/physrevlett.117.060506","year":2016,"title":"K´ om´ ar, T","work_id":"e78378e9-dcc6-4b8d-8d35-ac704c333838","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1038/nphoton.2016.235","year":2017,"title":"Optical clock networks.Nature Photonics, 11(1):25–31, January 2017","work_id":"295d732d-e8d7-4a83-9fd7-b1986b4fca49","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1103/physreva.97.042337","year":2018,"title":"Zachary Eldredge, Michael Foss-Feig, Jonathan A. Gross, Steven L. Rolston, and Alexey V. Gorshkov. Optimal and secure measurement protocols for quantum sensor networks.Physi- cal Review A, 97(4):04233","work_id":"90edcd3c-391f-48eb-98c0-a7360fad0368","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1103/physrevlett.121.043604","year":2018,"title":"Gorshkov, and Michael Foss-Feig","work_id":"a4891a49-f14f-4d46-9973-f752ffdab84b","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":38,"snapshot_sha256":"0a94b94414bfc04f5fb562ed3094fe40e9a94f8a6b6e3c7a50d9299fae830bb6","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"13bb02ea6caad4c78f17b0a89a9a9041acb8d2eef1f22ccd4a7b12e7aef45f19"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}