论文标题
与通勤发电机的两参数统一模型的错误权衡关系
Error trade-off relations for two-parameter unitary model with commuting generators
论文作者
论文摘要
我们研究了与互通通勤发电机的两参数单一模型之间是否存在均方根误差矩阵的对角线元素之间的权衡关系。我们表明，在有限维度系统模型中存在的错误权衡关系是一种通用现象，因为它在Spate空间中有有限的体积发生。我们分析了QUTRIT系统，以表明SLD和RLD Cramer-Rao界面可能存在错误的权衡关系，该关系相互相交。首先，我们分析了参考状态的一个示例，显示了数值非平凡的权衡关系，并发现其特征值必须在一定范围内才能表现出权衡关系。在另一个例子中，一参参数的参考状态家族，我们分析表明，非平凡关系始终存在，并且存在权衡关系的范围约为可能范围的一半。
We investigate whether a trade-off relation between the diagonal elements of the mean square error matrix exists for the two-parameter unitary models with mutually commuting generators. We show that the error trade-off relation which exists in our models of a finite dimension system is a generic phenomenon in the sense that it occurs with a finite volume in the spate space. We analyze a qutrit system to show that there can be an error trade-off relation given by the SLD and RLD Cramer-Rao bounds that intersect each other. First, we analyze an example of the reference state showing the non-trivial trade-off relation numerically, and find that its eigenvalues must be in a certain range to exhibit the trade-off relation. For another example, one-parameter family of reference states, we analytically show that the non-trivial relation always exists and that the range where the trade-off relation exists is up to about a half of the possible range.
