Arbitrary two-particle high-dimensional Bell-state measurement by auxiliary entanglement
Hao Zhang, Chao Zhang, Xiao‐Min Hu, Bi‐Heng Liu, Yun‐Feng Huang, Chuan‐Feng Li, Guang‐Can Guo · Physical Review A · 2019
Bell-state measurements (BSMs) play a vital role in quantum information. However, there is no definite solution of how to realize high-dimensional Bell-state measurements (HDBSMs). In this paper, we present a scheme for realizing arbitrary high-dimensional two-particle BSMs by auxiliary entanglement. In our scheme, the maximally entangled states with different degrees of freedom are used as auxiliary states, and then the HDBSM can be achieved by implementing a Bell measurement with different degrees of freedom. We present the detailed HDBSM scheme for three- and four-dimensional Bell states, and the general formula for arbitrary high-dimensional Bell states. Furthermore, we design an experimental scheme for three-dimensional BSM, and give a method of arbitrary dimension. This method can promote the high-dimensional quantum information task.