Abstract Distribution of the entangled state of trapped atomic ions to long distance using quantum repeater protocol is considered. Indeed, the long distance is divided into short parts, and then using entanglement generation and entanglement swapping techniques in optomechanical cavities, the entanglement is distributed. To do the task, we perform interaction between trapped atomic ions in optomechanical cavities, operate proper measurements on trapped ions and also make Bell state measurement as a well-known way to swap the entanglement. Accordingly, the entanglement is distributed between target ions with satisfactory values of success probability and entanglement degree. The effects of detuning and amplitude of pump laser on the entanglement and success probability are evaluated. The fluctuations of entanglement and success probability are decreased by increasing of detuning. Via increasing the amplitude of pump laser, the maxima of entanglement are repeated more times and success probability undergoes the collapse-revival phenomenon.

中文翻译：

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使用量子中继器协议分布纠缠态：光机械腔中捕获的原子离子

摘要 考虑使用量子中继器协议将被困原子离子的纠缠态分布到长距离。事实上，长距离被分成短的部分，然后在光机械腔中使用纠缠产生和纠缠交换技术，纠缠被分布。为了完成这项任务，我们在光机械腔中执行被困原子离子之间的相互作用，对被困离子进行适当的测量，并将贝尔态测量作为一种众所周知的交换纠缠的方式。因此，纠缠分布在具有令人满意的成功概率和纠缠度值的目标离子之间。评估了泵浦激光的失谐和幅度对纠缠和成功概率的影响。纠缠和成功概率的波动随着失谐的增加而减小。通过增加泵浦激光的振幅，纠缠的最大值重复更多次，成功概率发生崩溃-复活现象。