In traditional quantum metrology protocols, the initial multipartite entangled pure quantum probes are considered to be isolated, i.e., free of quantum many-body effects. Here, we study the impact of inherent many-body effects such as interaction with noisy environment and nonlocal interactions among particles on metrologically resourceful multipartite entanglement of initially mixed quantum probes. In this regard, we employ an information-theoretic multipartite entanglement measure as a figure-of-merit. The inevitable interaction with the noisy environment leads to disentanglement in multipartite quantum probes which restricts its metrological advantage. For this, we use entanglement dissociation to derive bounds on the multipartite entanglement measure that can identify the relevant entanglement structure under global as well as local noisy evolution. Furthermore, we investigate nonlocal interactions in terms of their entangling capability in a multipartite quantum probe. We show that such nonlocal interactions can be exploited as a valuable resource that exhibits better precision scaling in mixed-state quantum metrology. Moreover, we numerically observe these results for GHZ-W class states.

在传统的量子计量协议中，最初的多部分纠缠纯量子探针被认为是孤立的，即没有量子多体效应。在这里，我们研究了固有的多体效应（例如与嘈杂环境的相互作用以及粒子之间的非局部相互作用）对最初混合的量子探针的计量资源丰富的多粒子纠缠的影响。在这方面，我们采用信息论多部分纠缠措施作为品质因数。与嘈杂环境不可避免的相互作用会导致多粒子量子探针纠缠，从而限制了其计量优势。为了这，我们使用纠缠解离来推导多部分纠缠度量的边界，该边界可以确定全局以及局部噪声演化下的相关纠缠结构。此外，我们研究了多粒子量子探针中非局部相互作用的纠缠能力。我们表明，这种非局部相互作用可以作为一种有价值的资源加以利用，在混合态量子计量学中表现出更好的精度缩放。此外，我们在数值上观察到GHZ-W类状态的这些结果。