论文标题
真实多部分纠缠的顺序检测对于整个Qubits数量的整个层次结构无限
Sequential detection of genuine multipartite entanglement is unbounded for entire hierarchy of number of qubits recycled
论文作者
论文摘要
纠缠的实验检测无疑会扰乱基本的共同状态。系统的纠缠含量可能会在其检测过程中丢失。该观察结果导致研究了各种量子相关的顺序检测特性。在这里，我们研究了由任意数量的Qubits组成的量子系统的真实多部分纠缠的顺序检测。为了顺序检测真正的多部分纠缠，观察者可以回收所有量子位的任何固定子集，从而导致场景的层次结构，并根据观察者回收的量子数量进行分类。我们表明，对于层次结构中的每种情况，对真正多部分纠缠的顺序检测都会导致一个不可约束的序列。如果观察者之间共享的初始状态是多方广义的Greenberger-Horne-Horne-Zeilinger状态，并且是一类混合状态，则可以证明这是可能的。根据观察者采用的特定测量策略的真实多部分纠缠的顺序检测数量，对不同的层次场景进行了比较。
Experimental detection of entanglement certainly disturbs the underlying shared state. It is possible that the entanglement content of the system is lost in the process of its detection. This observation has led to the study of sequential detection properties of various quantum correlations. Here, we investigate the sequential detection of genuinely multipartite entanglement of quantum systems composed of an arbitrary number of qubits. In order to detect genuine multipartite entanglement sequentially, observers can recycle any fixed subset of all the qubits, thus leading to a hierarchy of scenarios, categorized according to the number of qubits which are recycled by the observers. We show that the sequential detection of genuine multipartite entanglement, for every scenario in the hierarchy, leads to an unboundedly long sequence. This is shown to be possible if the initial state shared among the observers is the multipartite generalized Greenberger-Horne-Zeilinger state and is a class of mixed states. A comparison among different hierarchical scenarios is drawn based on the number of sequential detections of genuine multipartite entanglement for a specific measurement strategy employed by observers.
