It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no cloning of quantum coherence. Here, in this article, we show that it is impossible to clone the coherence of an arbitrary quantum state. In particular, with an ancillary system as machine state, we show that it is impossible to clone the coherence of states whose coherence is greater than the coherence of the known states on which the transformations are defined. Also, we characterize the class of states for which coherence cloning will be possible for a given choice of machine. Furthermore, we find the maximum range of states whose coherence can be cloned perfectly. The impossibility proof also holds when we do not include machine states. Lastly, we generalize the impossibility of cloning of coherence in terms of dimension of the quantum state and coherence measure taken into consideration.

中文翻译：

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克隆量子相干的可能性

众所周知，不可能克隆任意量子态。但是，这种无能不能直接导致没有量子相干性的克隆。在本文中，我们证明了不可能克隆任意量子态的相干性。尤其是，使用辅助系统作为机器状态，我们表明无法克隆其相干性大于定义了转换的已知状态的相干性的状态的相干性。同样，我们描述了对于给定机器选择可能进行相干克隆的状态类别。此外，我们找到了可以完美克隆其连贯性的最大状态范围。当我们不包括机器状态时，不可能证明也成立。最后，