量子态比较和分类的不可能性
Impossibility of comparing and sorting quantum states
摘要：
有没有什么原则性的观点禁止我们进行一种或多种形式的量子信息处理？众所周知，一个未知的量子态既不能被完美地复制，也不能被完美地删除。给定一组不一定是正交的状态，是否有可能比较任意两个状态，给定这些状态的一些合理的排序？有没有可能把它们按特定的顺序排列？在量子计算的背景下，它在这里表明，没有量子线路实现幺正变换，比较和排序的一组无限制的量子态。
英文摘要：
Is there any point of principle that prohibits us from doing one or more forms of quantum information processing? It is now well known that an unknown quantum state can neither be copied nor deleted perfectly. Given a set of states which are not necessarily orthogonal, is it possible to compare any two states from the set, given some reasonable ordering of such states? Is it possible to sort them in some specific order? In the context of quantum computation, it is shown here that there is no quantum circuit implementing a unitary transformation, for comparing and sorting an unrestricted set of quantum states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
