最小误差量子测量、量子动力学可逆性和使用方向迭代的最大重叠问题的双侧界
Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on the maximum overlap problem using directional iterates
摘要：
在统一的框架下，我们得到了量子信息理论中下列重要量的双侧估计：1.任意混合量子态系综的最小误差可分辨性。2.量子动力学在纠缠保真度方面的近似可逆性。(This当反向信道是编码操作和噪声信道的组合时，也被称为“信道自适应量子错误恢复”。3.二分纯量子态和二分混合态之间的最大重叠，可以通过对混合态的一部分进行局域量子操作来实现。4.二分量子态的条件最小熵。作者的技术[J. Math. Phys. 50，032016]的一个改进版本，用于界定第一个量，给出其余三个量的双侧估计。我们的主要工具是Jezek-Fiurasek-Hradil [Phys.Rev.A68，012305]和Reimpell-Werner [Phys.Rev.Lett94，080501]介绍的用于计算最佳测量和量子误差恢复的迭代方案的抽象概括的“小角度”初始化。
英文摘要：
In a unified framework, we obtain two-sided estimates of the following quantities of interest in quantum information theory: 1.The minimum-error distinguishability of arbitrary ensembles of mixed quantum states. 2.The approximate reversibility of quantum dynamics in terms of entanglement fidelity. (This is also referred to as "channel-adapted quantum error recovery" when the reversed channel is the composition of an encoding operation and a noise channel.) 3.The maximum overlap between a bipartite pure quantum state and a bipartite mixed state that may be achieved by applying a local quantum operation to one part of the mixed state. 4. The conditional min-entropy of bipartite quantum states. A refined version of the author's techniques [J. Math. Phys. 50, 032016] for bounding the first quantity is employed to give two-sided estimates of the remaining three quantities. Our primary tool is "small angle" initialization of an abstract generalization of the iterative schemes for computing optimal measurements and quantum error recoveries introduced by Jezek-Rehacek-Fiurasek [Phys. Rev. A 65, 060301], Jezek-Fiurasek-Hradil [Phys. Rev. A 68, 012305], and Reimpell-Werner [Phys. Rev. Lett 94, 080501].
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。
