可观测量的可转换性
Convertibility of Observables
摘要：
量子信息、克隆、态的估计与检验、通用编码等问题，是下列“国家可兑换性”问题的特殊例子。在本文中，我们考虑这个问题的对偶，“可观测转换问题”。给定算子族$\{L_θ}\}_{θ\inΘ}$和$\{M_θ}\}_{θ\inΘ}$，我们问是否存在一个完全正的（子）酉映射，它对每个θ都把$\{L_θ}\}$送到$\{M_θ}\}$。在某些特殊情况下，给出了可兑换的充分必要条件。
英文摘要：
Some problems of quantum information, cloning, estimation and testing of states, universal coding etc., are special example of the following `state convertibility' problem. In this paper, we consider the dual of this problem, 'observable conversion problem'. Given families of operators $\{L_θ}\}_{θ\inΘ}$ and $\{M_θ}\}_{θ\inΘ}$ , we ask whether there is a completely positive (sub) unital map which sends $\{L_θ}\}$ to $\{M_θ}\}$ for each θ. We give necessary and sufficient conditions for the convertibility in some special cases.
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。
