Pith Number

pith:F5GWLC5A

pith:2026:F5GWLC5AR5Y27BGI65ULI7BTVB

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A Framework for Spatial Quantum Sensing

Damian Markham, Lu\'is Bugalho, Yasser Omar

Entanglement in quantum sensor networks achieves maximal precision for field estimation under global resource constraints.

arxiv:2602.12193 v2 · 2026-02-12 · quant-ph

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\pithnumber{F5GWLC5AR5Y27BGI65ULI7BTVB}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest 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.

C2weakest 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.

C3one 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.

References

38 extracted · 38 resolved · 0 Pith anchors

[1] QUANTUM ESTIMATION FOR QUANTUM TECHNOLOGY 2009 · doi:10.1142/s0219749909004839

[2] K´ om´ ar, T 2016 · doi:10.1103/physrevlett.117.060506

[3] Optical clock networks.Nature Photonics, 11(1):25–31, January 2017 2017 · doi:10.1038/nphoton.2016.235

[4] 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 2018 · doi:10.1103/physreva.97.042337

[5] Gorshkov, and Michael Foss-Feig 2018 · doi:10.1103/physrevlett.121.043604

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:04.445960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4d658ba08f71af84c8f768b47c33a859d7c3debe3da6bf1a107c1370ee5961

Aliases

arxiv: 2602.12193 · arxiv_version: 2602.12193v2 · doi: 10.48550/arxiv.2602.12193 · pith_short_12: F5GWLC5AR5Y2 · pith_short_16: F5GWLC5AR5Y27BGI · pith_short_8: F5GWLC5A

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F5GWLC5AR5Y27BGI65ULI7BTVB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2f4d658ba08f71af84c8f768b47c33a859d7c3debe3da6bf1a107c1370ee5961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4805332048743d752e354b5bae7609d56dfd8bc5b71e23933cd40ece0cbb34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-02-12T17:24:51Z",
    "title_canon_sha256": "37130fb1f7e7986b9b110079c0f262a9d592d7441fe324e07adef3631ac268e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12193",
    "kind": "arxiv",
    "version": 2
  }
}