比较二部幺正操作的全局性：离域功率、纠缠代价和纠缠功率
Comparing globalness of bipartite unitary operations: delocalization power, entanglement cost, and entangling power
摘要：
我们比较了三种不同的二分酉操作，即离域功率，纠缠成本和纠缠功率的全球性的表征，研究全球性的酉操作。我们发现，相同的幺正操作的全局性取决于输入状态是否由代表量子信息的未知状态，或一组已知的状态的表征。我们从两个方面扩展我们对离域功率的分析。首先，我们证明了全局操作对一个或两个量子信息的离域能力是不同的。其次，通过引入LOCC单件重定位任务，证明了受控幺正操作不具有足够强的离域能力来重定位两个量子信息中的一个.
英文摘要：
We compare three different characterizations of the globalness of bipartite unitary operations, namely, delocalization power, entanglement cost, and entangling power, to investigate global properties of unitary operations. We show that the globalness of the same unitary operation depends on whether input states are given by unknown states representing pieces of quantum information, or a set of known states for the characterization. We extend our analysis on the delocalization power in two ways. First, we show that the delocalization power differs whether the global operation is applied on one piece or two pieces of quantum information. Second, by introducing a new task called LOCC one-piece relocation, we prove that the controlled-unitary operations do not have the delocalization power strong enough to relocate one of two pieces of quantum information by adding LOCC.
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。
