Adaptive estimation of a time-varying phase with coherent states: smoothing can give an unbounded improvement over filtering
Kiarn T. Laverick; Howard M. Wiseman; Hossien T. Dinani; Dominic W. Berry · 2017 · arXiv
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Abstract (excerpt)
The problem of measuring a time-varying phase, even when the statistics of the variation is known, is considerably harder than that of measuring a constant phase. In particular, the usual bounds on accuracy - such as the $1/(4\bar{n})$ standard quantum limit with coherent states - do not apply. Here, restricting to coherent states, we are able to analytically obtain the achievable accuracy - the equivalent of the standard quantum limit - for a wide class of phase variation. In particular, we consider the case where the phase has Gaussian statistics and a power-law spectrum equal to $κ^{p-1}/|ω
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Metadata source: arXiv