dorsal/arxiv
View SchemaQuantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
| Authors | JM Geremia, John K. Stockton, Andrew C. Doherty, Hideo Mabuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306192 |
| URL | https://arxiv.org/abs/quant-ph/0306192 |
| DOI | 10.1103/PhysRevLett.91.250801 |
| Journal | Phys. Rev. Lett. 91, 250801 (2003) |
Abstract
The shot-noise detection limit in current high-precision atomic magnetometry is a manifestation of quantum fluctuations that scale as the square root of N in an ensemble of N particles. However, there is a general expectation that the reduced projection noise provided by conditional spin-squeezing could be exploited to surpass the conventional shot-noise limit. We show that continuous measurement coupled with quantum Kalman filtering provides an optimal procedure for magnetic detection limits that scale with 1/N, the Heisenberg squeezing limit. Our analysis demonstrates the importance of optimal estimation procedures for high bandwidth precision magnetometry.
{
"annotation_id": "c057b75f-0104-49de-8671-cefda8a8fb50",
"date_created": "2026-03-02T18:01:59.486000Z",
"date_modified": "2026-03-02T18:01:59.486000Z",
"file_hash": "61060d2e71169b0cfa5aff06d65f0da6730d88fc07d48325c47922b7433a6a4c",
"private": false,
"record": {
"abstract": "The shot-noise detection limit in current high-precision atomic magnetometry\nis a manifestation of quantum fluctuations that scale as the square root of N\nin an ensemble of N particles. However, there is a general expectation that the\nreduced projection noise provided by conditional spin-squeezing could be\nexploited to surpass the conventional shot-noise limit. We show that continuous\nmeasurement coupled with quantum Kalman filtering provides an optimal procedure\nfor magnetic detection limits that scale with 1/N, the Heisenberg squeezing\nlimit. Our analysis demonstrates the importance of optimal estimation\nprocedures for high bandwidth precision magnetometry.",
"arxiv_id": "quant-ph/0306192",
"authors": [
"JM Geremia",
"John K. Stockton",
"Andrew C. Doherty",
"Hideo Mabuchi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.91.250801",
"journal_ref": "Phys. Rev. Lett. 91, 250801 (2003)",
"title": "Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry",
"url": "https://arxiv.org/abs/quant-ph/0306192"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "905dbe03-e875-48bb-b3e5-4511bc14ea11",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}