Abstract Weak-value amplification employs postselection to enhance the measurement of small parameters of interest. The amplification comes at the expense of reduced success probability, hindering the utility of this technique as a tool for practical metrology. Following other quantum technologies that display a quantum advantage, we formalize a quantum advantage in the success probability and present a scheme based on non-linear collective Hamiltonians that shows a super-extensive growth in success probability while simultaneously displaying an extensive growth in the weak value. We propose an experimental implementation of our scheme.

中文翻译：

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基于集体非线性的近确定性弱值计量

摘要 弱值放大采用后选择来增强对感兴趣的小参数的测量。放大是以降低成功概率为代价的，阻碍了该技术作为实际计量工具的实用性。继其他显示量子优势的量子技术之后，我们将成功概率中的量子优势形式化，并提出基于非线性集体哈密顿量的方案，该方案显示成功概率的超广泛​​增长，同时显示弱值的广泛增长. 我们建议对我们的方案进行实验性实施。