We consider entangled state production utilizing a full optomechanical arrangement, based on which we create entanglement between two far three-level V-type atoms using a quantum repeater protocol. At first, we consider eight identical atoms (1,2,⋯ ,8), while adjacent pairs (i,i + 1) with i = 1,3,5,7 have been prepared in entangled states and the atoms 1, 8 are the two target atoms. The three-level atoms (1,2,3,4) and (5,6,7,8) distinctly become entangled with the system including optical and mechanical modes by performing the interaction in optomechanical cavities between atoms (2,3) and (6,7), respectively. Then, by operating appropriate measurements, instead of Bell state measurement which is a hard task in practical works, the entangled states of atoms (1,4) and (5,8) are achieved. Next, via interacting atoms (4,5) of the pairs (1,4) and (5,8) and operating proper measurement, the entangled state of target atoms (1,8) is obtained. In the continuation, entropy and success probability of the produced entangled state are then evaluated. It is observed that the time period of entropy is increased by increasing the mechanical frequency (ω_M) and by decreasing optomechanical coupling strength to the field modes (G). Also, in most cases, the maximum of success probability is increased by decreasing G and via decreasing ω_M.

我们考虑利用完整的光机械布置产生纠缠态，在此基础上，我们使用量子中继器协议在两个远的三能级V型原子之间产生纠缠。首先，我们考虑八个相同的原子（1,2，⋯，8），而相邻对（i，i + 1）与i= 1,3,5,7处于纠缠状态，原子1，8是两个目标原子。三能级原子（1,2,3,4）和（5,6,7,8）通过在原子（2,3）和（6,7）。然后，通过进行适当的测量，而不是在实际工作中很难完成的贝尔状态测量，可以实现原子（1,4）和（5,8）的纠缠态。接下来，通过对（1,4）和（5,8）中的原子（4,5）相互作用并进行适当的测量，获得目标原子（1,8）的纠缠态。接下来，评估产生的纠缠态的熵和成功概率。ω_中号）和通过降低光学机械耦合强度的场模式（ģ）。此外，在大多数情况下，最大成功概率的增加减小ģ和通过减小ω_中号。