arXiv quant-ph/06061892006-06-22quant-ph

通用可编程器件，用于明确区分

Universal programmable devices for unambiguous discrimination

Chi Zhang, Mingsheng Ying

备注：: 9 pages

摘要：

讨论了在$m$维希尔伯特空间中，对任意$n$未知量子态设计无二义性可编程鉴别器的问题.寄存器是一种固定的测量，它有两种输入寄存器：程序寄存器和数据寄存器。程序寄存器由$n$状态组成，而数据寄存器在其中准备。寄存器的任务是告诉我们存储在程序寄存器中的哪个状态与数据寄存器中的状态等价。首先，我们给出了一个判定无模糊可编程可编程逻辑器件的充分必要条件。然后，如果$m=n$，我们提出了一个最佳的明确的可编程的可编程逻辑器件，在这个意义上最大限度地提高最坏情况下的成功概率。最后，我们提出了一个通用的明确的可编程的任意$n$的量子态的可编程控制器。我们还展示了如何使用这个普遍的歧视明确区分混合状态。

英文摘要：

We discuss the problem of designing unambiguous programmable discriminators for any $n$ unknown quantum states in an $m$-dimensional Hilbert space. The discriminator is a fixed measurement which has two kinds of input registers: the program registers and the data register. The program registers consist of the $n$ states, while the data register is prepared among them. The task of the discriminator is to tell us which state stored in the program registers is equivalent to that in the data register. First, we give a necessary and sufficient condition for judging an unambiguous programmable discriminator. Then, if $m=n$, we present an optimal unambiguous programmable discriminator for them, in the sense of maximizing the worst-case probability of success. Finally, we propose a universal unambiguous programmable discriminator for arbitrary $n$ quantum states. We also show how to use this universal discriminator to unambiguously discriminate mixed 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。

摘要：

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