量子态分离的条件和能力
Condition and capability of quantum state separation
摘要：
量子操作的线性性给我们在状态不完全已知的量子系统上所能实现的信息处理任务带来了许多基本限制，就像我们在量子克隆和量子歧视中所观察到的那样。在本文中，我们表明，在概率的方式，线性实际上是唯一一个限制物理上可实现的任务。具体地说，如果一个系统是从一个线性无关的纯态集合中秘密地选择一个态来准备的，那么任何量子态分离都可以以正的概率在物理上实现。此外，我们还导出了任意量子态分离的平均失效概率的一个下界。
英文摘要：
The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a lower bound on the average failure probability of any quantum state separation.
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。
