论文标题
量子相干性非本地优势的顺序共享限制
Limits on sequential sharing of nonlocal advantage of quantum coherence
论文作者
论文摘要
非局部相关性的顺序共享与其应用本质上有关。我们解决了有多少观察者可以在$（d \ times d）$ - 维度状态下共享量子连贯性（NAQC）的非本地优势的问题，其中$ d $是素数的质量或素数。我们首先分析了一般$ d $二维的UNSHARP测量的骚乱与信息获益之间的权衡。然后，在多个Alices在依次和独立的状态方上进行未陈述的情况，并且单个BOB测量了另一方条件状态的连贯性，我们表明，最多有一个爱丽丝可以与Bob一起演示NAQC。即使考虑使用最佳指针状态的弱测量值，该限制也达到。这些结果可能会阐明高维系统上的非局部相关性与量子测量之间的相互作用以及不同量子相关的层次结构。
Sequential sharing of nonlocal correlation is inherently related to its application. We address the question as to how many observers can share the nonlocal advantage of quantum coherence (NAQC) in a $(d\times d)$-dimensional state, where $d$ is a prime or a power of a prime. We first analyze the trade-off between disturbance and information gain of the general $d$-dimensional unsharp measurements. Then in a scenario where multiple Alices perform unsharp measurements on one party of the state sequentially and independently and a single Bob measures coherence of the conditional states on the other party, we show that at most one Alice can demonstrate NAQC with Bob. This limit holds even when considering the weak measurements with optimal pointer states. These results may shed light on the interplay between nonlocal correlations and quantum measurements on high-dimensional systems and the hierarchy of different quantum correlations.
