Non-adaptive Heisenberg-limited metrology with multi-channel homodyne measurements

Danilo Triggiani*, Paolo Facchi, Vincenzo Tamma

*Corresponding author for this work

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We show a protocol achieving the ultimate Heisenberg-scaling sensitivity in the estimation of a parameter encoded in a generic linear network, without employing any auxiliary networks, and without the need of any prior information on the parameter nor on the network structure. As a result, this protocol does not require a prior coarse estimation of the parameter, nor an adaptation of the network. The scheme we analyse consists of a single-mode squeezed state and homodyne detectors in each of the M output channels of the network encoding the parameter, making it feasible for experimental applications.
Original languageEnglish
Article number125
Number of pages13
JournalThe European Physical Journal Plus
Publication statusPublished - 17 Jan 2022


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