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.
Cite
@article{arxiv.quant-ph/9801039,
title = {Standard Quantum Limits for broadband position measurement},
author = {Hideo Mabuchi},
journal= {arXiv preprint arXiv:quant-ph/9801039},
year = {2012}
}
Comments
Replaced version: changed title, fixed algebra error at the very end, conclusions modified accordingly. Four pages, one eps figure