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arXiv 1912.02449quant-ph
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因果序不定的量子精密测量

Quantum Metrology with Indefinite Causal Order

Xiaobin Zhao, Yuxiang Yang, Giulio Chiribella

摘要:

我们解决的量子精密测量的研究增强不确定的因果顺序,展示了二次的优势,在连续变量系统中的两个平均位移的产品的估计。我们证明,没有设置的位移探测在一个固定的顺序可以有均方根误差消失速度比海森堡限制1/N,其中N是位移的平均值。与此形成鲜明对比的是,我们证明了一种探测两个交替阶叠加位移的装置,其均方根误差随着超海森堡标度1/N^2而消失。这一结果开辟了新的测量设置的研究,量子过程中探测在一个不确定的顺序,并建议加强测试的正则对易关系,与潜在的应用量子引力。

英文摘要:

We address the study of quantum metrology enhanced by indefinite causal order, demonstrating a quadratic advantage in the estimation of the product of two average displacements in a continuous variable system. We prove that no setup where the displacements are probed in a fixed order can have root-mean-square error vanishing faster than the Heisenberg limit 1/N, where N is the number of displacements contributing to the average. In stark contrast, we show that a setup that probes the displacements in a superposition of two alternative orders yields a root-mean-square error vanishing with super-Heisenberg scaling 1/N^2. This result opens up the study of new measurement setups where quantum processes are probed in an indefinite order, and suggests enhanced tests of the canonical commutation relations, with potential applications to quantum gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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