Nonlinear interactions are recognized as potential resources for quantum metrology, facilitating parameter estimation precisions that scale as the exponential Heisenberg limit of $2^{-N}$. We explore such nonlinearity and propose an associated quantum measurement scenario based on the nonlinear interaction of $N$-probe entanglement-generating form. This scenario provides an enhanced precision scaling of $D^{-N}/(N-1)!$ with $D>2$ a tunable parameter. In addition, it can be readily implemented in a variety of experimental platforms and applied to measurements of a wide range of quantities, including local gravitational acceleration $g$, magnetic field, and its higher-order gradients.

中文翻译：

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通过N-探针纠缠-产生相互作用，精确度超过1/N-scaling的量子计量学

非线性相互作用被认为是量子计量学的潜在资源，有助于提高参数估计精度，其可扩展为指数海森堡极限 $2^{-N}$. 我们探索了这种非线性，并提出了一个基于非线性相互作用的相关量子测量方案。$N$-探针纠缠生成形式。此方案提供了增强的精度缩放$D^{-N}/(N-1)！$ 和 $D>2$一个可调参数。此外，它可以很容易地在各种实验平台上实施，并应用于测量范围广泛的量，包括局部重力加速度$G$、磁场及其高阶梯度。