0306192v3

related topics
{measurement, state, measurements}
{spin, pulse, spins}
{light, field, probe}
{state, states, coherent}
{cavity, atom, atoms}
{level, atom, field}
{time, wave, function}
{information, entropy, channel}
{error, code, errors}
{energy, gaussian, time}
{time, decoherence, evolution}
{cos, sin, state}

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

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