论文标题
纠缠交换理论以及超越
Entanglement swapping theory and beyond
论文作者
论文摘要
我们专注于纠缠交换和纠缠纯国和混合国家的链条的理论研究。我们显示了纠缠交换的一般理论，可以通过该理论获得纠缠交换后的最终状态。我们考虑2级最大纠缠状态的纠缠交换而不限制每个子系统以相同的基础。我们还考虑了D级最大纠缠状态之间的纠缠交换，这是通过对包含所选纠缠状态的第一个粒子和颗粒的第一个粒子进行联合测量而实现的，而没有其他纠缠状态中的第一个粒子。对于一般纯状状态的纠缠交换，我们将两个双方一般纯状态的案例概括为多国家案例。此外，我们提出了纠缠一般纯国与最大纠缠状态之间的纠缠交换。对于纠缠交换链，我们提出了最大纠缠状态的纠缠链交换链，这是通过对多个颗粒进行测量来实现的。我们证明了纠缠链条链的链条和最大纠缠状态的纠缠链的结果。此外，我们研究了混合国家的纠缠交换和纠缠交换链，包括$ x $州和最大纠缠的国家。此外，我们为以前的工作提供了新的证明[2022，Physica A，585，126400]。最后，我们提出了一种新的算法，用于得出纠缠交换结果，并通过将算法与两个铃铛状态的纠缠交换进行比较来验证算法的正确性。
We focus on the theoretical research of entanglement swapping and entanglement swapping chains of pure states and mixed states. We show the general theory of entanglement swapping, through which the final states after entanglement swapping can be obtained. We consider the entanglement swapping of 2-level maximally entangled states without limiting each subsystem to be in the same basis. We also consider the entanglement swapping between d-level maximally entangled states,which is realized by performing a joint measurement on the particles that contain the first particle of the selected entangled states and the particles without involving the first particle in other entangled states. For the entanglement swapping of general pure state, we generalize case of two bipartite general pure states to multi-state cases. Moreover, we propose the entanglement swapping between bipartite general pure states and maximally entangled states. For entanglement swapping chains, we propose the entanglement swapping chains for maximally entangled states, which is realized by performing measurements on multiple particles. We prove the results of entanglement swapping chains of general pure states and maximally entangled states. In addition, we study the entanglement swapping and entanglement swapping chains of mixed states, including $X$ states and mixed maximally entangled states. What is more, we provide a new proof for our previous work [2022, Physica A, 585, 126400]. Finally, we propose a new algorithm for deriving entanglement swapping results, and verify the correctness of the algorithm by comparing it with the entanglement swapping of two Bell states.
