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Smoothing of Gaussian quantum dynamics for force detection

Huang, Zhishen; Sarovar, Mohan S.

Building on recent work by Gammelmark et al. [Phys. Rev. Lett. 111, 160401 (2013)10.1103/PhysRevLett.111.160401] we develop a formalism for prediction and retrodiction of Gaussian quantum systems undergoing continuous measurements. We apply the resulting formalism to study the advantage of incorporating a full measurement record and retrodiction for impulselike force detection and accelerometry. We find that using retrodiction can only increase accuracy in a limited parameter regime, but that the reduction in estimation noise that it yields results in better detection of impulselike forces.