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Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
JM Geremia, John K. Stockton, Andrew C. Doherty, Hideo Mabuchi
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0306192
- categories:
- quant-ph
- comments:
- More details are available at http://minty.caltech.edu/Ensemble
- doi:
- 10.1103/PhysRevLett.91.250801
- arxiv_id:
- quant-ph/0306192
- journal_ref:
- Phys. Rev. Lett. 91, 250801 (2003)
- created:
- 2003-06-27
- updated:
- 2003-12-20
Full article ▸
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