Related papers: Enhanced super-Heisenberg scaling precision by nonlinear coupling and postselection

Enhanced super-Heisenberg scaling precision by nonlinear coupling and postselection

URL: http://arxiv.org/abs/2308.08113v1
Date: Wed, 16 Aug 2023 02:57:22 GMT
Title: Enhanced super-Heisenberg scaling precision by nonlinear coupling and postselection
Authors: Lupei Qin, Jialin Li, Yazhi Niu, Xin-Qi Li
Abstract summary: We show that metrological precision can be enhanced from the $1/Nfrac32$ super-Heisenberg scaling to $1/N2$, by simply employing a pre- and post-selection (PPS) technique.
Score: 2.242808511733337
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In quantum precision metrology, the famous result of Heisenberg limit scaling as $1/N$ (with $N$ the number of probes) can be surpassed by considering nonlinear coupling measurement. In this work, we consider the most practice-relevant quadratic nonlinear coupling and show that the metrological precision can be enhanced from the $1/N^{\frac{3}{2}}$ super-Heisenberg scaling to $1/N^2$, by simply employing a pre- and post-selection (PPS) technique, but not using any expensive quantum resources such as quantum entangled state of probes.

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