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

• URL: http://arxiv.org/abs/2110.03582v1
• Date: Thu, 7 Oct 2021 16:03:38 GMT
• Title: Non-adaptive Heisenberg-limited metrology with multi-channel homodyne measurements
• Authors: Danilo Triggiani, Paolo Facchi, Vincenzo Tamma
• Abstract summary: We show a protocol achieving the ultimate Heisenberg-scaling sensitivity in the estimation of a parameter encoded in a generic linear network. As a result, this protocol does not require a prior coarse estimation of the parameter, nor an adaptation of the network.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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