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Standard Quantum Limits for broadband position measurement

Hideo Mabuchi
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Abstract

I utilize the Caves-Milburn model for continuous position measurements to formulate a broadband version of the Standard Quantum Limit (SQL) for monitoring the position of a free mass, and illustrate the use of Kalman filtering to recover the SQL for estimating a weak classical force that acts on a quantum-mechanical test particle under continuous observation. These derivations are intended to clarify the interpretation of SQL's in the context of continuous quantum measurement.

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Hideo Mabuchi. 1998-01-20. Standard Quantum Limits for broadband position measurement. https://doi.org/10.1103/physreva.58.123

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