标题： 稳定子态和超越量子比特的子空间的纠缠判据 显示英文标题

标题： Entanglement witnesses for stabilizer states and subspaces beyond qubits

摘要： 真正的多体纠缠在多体情况下可以说是最有价值的纠缠形式，例如在量子计量学中有应用。为了检测多体量子态中的这种纠缠形式，通常使用纠缠见证。本文的目的是推广[G. Tóth和O. Gühne, Phys. Rev. A\textbf{72}, 022340 (2005)]的结果，以提供一种针对来自\textit{多量子比特}稳定子形式的纠缠子空间的真正多体纠缠见证构造——这是一个在量子纠错中起重要作用的框架，同时也提供了对一大类纠缠多体态（包括纯态和混合态）非常方便的描述。我们的构造包括任意局部维度的图态。然后我们表明，在某些情况下，用于高局部维度量子系统的真正多体纠缠的见证在噪声鲁棒性方面优于用于多量子比特系统的见证。 显示英文摘要

摘要： Genuine multipartite entanglement is arguably the most valuable form of entanglement in the multipartite case, with applications, for instance, in quantum metrology. In order to detect that form of entanglement in multipartite quantum states, one typically uses entanglement witnesses. The aim of this paper is to generalize the results of [G. T\'oth and O. G\"uhne, Phys. Rev. A \textbf{72}, 022340 (2005)] in order to provide a construction of witnesses of genuine multipartite entanglement tailored to entangled subspaces originating from the \textit{multi-qudit} stabilizer formalism -- a framework well known for its role in quantum error correction, which also provides a very convenient description of a broad class of entangled multipartite states (both pure and mixed). Our construction includes graph states of arbitrary local dimension. We then show that in certain situations, the obtained witnesses detecting genuine multipartite entanglement in quantum systems of higher local dimension are superior in terms of noise robustness to those derived for multiqubit states.