New Algorithm for Entanglement Swapping

Entanglement swapping is one of the most peculiar quantum mechanical phenomena, which is a key technology to realize long-distance quantum communication and build quantum networks, and has extensive and important applications in quantum information processing. In this paper, we combine some principles of classical physics with those of quantum mechanics to propose a new theoretical framework and design a new algorithm for entanglement swapping based on it, the basic idea of which is to construct two entangled states after entanglement swapping from all possible observations. We demonstrate the algorithm by the entanglement swapping between two bipartite entangled states, and derive the results of entanglement swapping between two Bell states, which are consistent with those obtained through algebraic calculations. Our work not only provide new perspectives for exploring quantum mechanical phenomena and the principles behind them, but also can trigger in-depth exploration of the mysteries of nature.