量子过程中常识的检验
Test of Common Sense in Quantum Copying Process
摘要：
我们相信，我们有更多的{ \it先验}信息的输入状态，我们可以更好地在量子克隆机克隆的质量。几年前，通过分析输入状态是两个非正交状态之一的情况，证实了这个常识性的想法。如果{ \it先验}信息由香农熵测量，常识预测克隆的质量随着$N$的增加而变差，其中$N$是可能的输入状态的数量。然而，我们表明，由香农熵测量的{ \it先验}信息不影响克隆的质量。相反，不可克隆定理和可能的输入状态的“密集性”在确定质量方面起着重要作用。具体地说，当$N \geq 3$ .
英文摘要：
It is believed that the more we have {\it a priori} information on input states, the better we can make the quality of clones in quantum cloning machines. This common sense idea was confirmed several years ago by analyzing a situation, where the input state is either one of two non-orthogonal states. If the {\it a priori} information is measured by the Shannon entropy, common sense predicts that the quality of the clone becomes poorer with increasing $N$, where $N$ is the number of possible input states. We show, however, that the {\it a priori} information measured by the Shannon entropy does not affect the quality of the clones. Instead the no-cloning theorem and `denseness' of the possible input states play important roles in determining the quality. Specifically, the factor `denseness' plays a more crucial role than the no-cloning theorem when $N \geq 3$.
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