In this paper, we put forward a protocol for the complete and nondestructive Bell-state measurement of trapped ions. We show that the four different Bell states of two information carriers can be distinguished using two auxiliary ions with the initial Bell states unchanged after the procedures. The parameter selections are discussed based on the experimentally available parameters, and the robustness against the errors and decoherence are analyzed. The results show that the protocol works well with the selected parameters, and possesses robustness against errors and decoherence. Since the laser pulses to drive the transitions of ions in the procedures are designed via reverse engineering, the control parameters can be flexibly selected under certain boundary conditions, which provides the possibility to find corrective parameters to compensate the errors caused by the decoherence. We hope the protocol can be useful for the Bell-state based quantum information tasks.

在本文中，我们提出了一种用于捕获离子的完整和非破坏性钟形测量的协议。我们表明，可以使用两个辅助离子区分两个信息载体的四个不同的Bell状态，而初始Bell状态在操作后保持不变。基于实验可用的参数讨论了参数选择，并分析了针对误差和去相干性的鲁棒性。结果表明，该协议在选择的参数下工作良好，并且具有针对错误和退相干性的鲁棒性。由于通过逆向工程设计了在程序中驱动离子跃迁的激光脉冲，因此可以在某些边界条件下灵活选择控制参数，这提供了寻找校正参数以补偿由退相干引起的误差的可能性。我们希望该协议对于基于Bell状态的量子信息任务很有用。