非经典性作为量子精密测量的可量化资源
Nonclassicality as a Quantifiable Resource for Quantum Metrology
摘要：
我们建立了连续变量态的非经典性作为量子精密测量的一个资源。基于多模求积函数的量子费舍尔信息，我们引入了非经典性测度-量子幂，它具有超越经典极限的位移灵敏度的具体操作意义.这种测度属于非经典性的资源理论，在线性光学元件下是不增加的。我们的信揭示了一个单一的副本，高度非经典的量子态是固有的优势，当与多个副本的量子态与中度非经典。这表明量子功率与量子宏观性的程度有关。最后，我们证明了非经典位移传感任务有用的可编程资源总是可以转换成一个有用的资源状态的相位灵敏度超过经典的限制。
英文摘要：
We establish the nonclassicality of continuous-variable states as a resource for quantum metrology. Based on the quantum Fisher information of multimode quadratures, we introduce the metrological power as a measure of nonclassicality with a concrete operational meaning of displacement sensitivity beyond the classical limit. This measure belongs to the resource theory of nonclassicality, which is nonincreasing under linear optical elements. Our Letter reveals that a single copy, highly nonclassical quantum state is intrinsically advantageous when compared to multiple copies of a quantum state with moderate nonclassicality. This suggests that metrological power is related to the degree of quantum macroscopicity. Finally, we demonstrate that metrological resources useful for nonclassical displacement sensing tasks can be always converted into a useful resource state for phase sensitivity beyond the classical limit.
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