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中文摘要：
我们提出利用离子阱技术来实现1→2和1→3的最优非对称经济型相位协变克隆的实验可行性方案。在这两个方案中集体振动模开始处于真空态。在第一个方案中，我们先用激光驱动第一个离子，然后把振动模的态映射到第二个离子上。在第二个方案中，先用两束不同的激光驱动两个离子，然后把振动模的态映射到第三个离子上。这两个方案都是以共振边带激发为基础的，因此用现在的离子阱技术是可以实现的。
英文摘要：
We propose experimentally feasible schemes to implement the optimal asymmetric economical 1→2 and 1→3 phase-covariant cloning, which work without ancilla, in the context of ion-trap system . In these schemes the collective motional mode is initially prepared in the vacuum state 10）. In the first scheme, we drive the first ion with a laser beam firstly, and then we map the motional mode state to the second ion. And in the second scheme, we drive two ions with different laser beams, and then we map the motional mode state to the third one. The schemes are based on resonant sideband excitation, thus they may be realized with current ion-trap techniques.
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