标题： 从双随机矩阵中分离出单随机矩阵。 从实验数据中恢复一个 3×3 维酉矩阵。 显示英文标题

标题： Separation of unistochastic matrices from the double stochastic ones. Recovery of a 3 x 3 unitary matrix from experimental data

摘要： 本文的目的是为从实验数据中恢复一个酉矩阵提供一种构造性方法。 由于酉矩阵自然嵌入到双随机矩阵集合之中，因此需要解决的问题是找到区分这两个集合的充要条件。 三维情形下的完整解法被给出，并附带一个用于从存在误差的数据中重建酉矩阵的$\chi^2$测试。 显示英文摘要

摘要： The aim of the paper is to provide a constructive method for recovering a unitary matrix from experimental data. Since there is a natural immersion of unitary matrices within the set of double stochastic ones, the problem to solve is to find necessary and sufficient criteria that separate the two sets. A complete solution is provided for the 3-dimensional case, accompanied by a $\chi^2$ test necessary for the reconstruction of a unitary matrix from error affected data.