相空间中的回溯最优局部化
Retrodictively Optimal Localisations in Phase Space
摘要：
在以前的文件中，它被证明是一个retrodictively最佳的位置和动量的同时测量的测量值的分布总是由初始状态Husimi函数。这个结果现在被推广到任意一对旋转正交x_theta1和x_theta2的回溯最优同时测量。它示出，给定任何这样的测量，它是可能的，以找到另一个这样的测量，信息等价于第一个，其中由两个正交定义的轴是垂直的。它进一步表明，这种meaurement的测量值的分布属于最近讨论的Wuensche和Buzek的广义Husimi函数类。该类由Wodkiewicz操作概率分布的子集组成，其中过滤器参考状态是压缩真空状态。
英文摘要：
In a previous paper it was shown that the distribution of measured values for a retrodictively optimal simultaneous measurement of position and momentum is always given by the initial state Husimi function. This result is now generalised to retrodictively optimal simultaneous measurements of an arbitrary pair of rotated quadratures x_theta1 and x_theta2. It is shown, that given any such measurement, it is possible to find another such measurement, informationally equivalent to the first, for which the axes defined by the two quadratures are perpendicular. It is further shown that the distribution of measured values for such a meaurement belongs to the class of generalised Husimi functions most recently discussed by Wuensche and Buzek. The class consists of the subset of Wodkiewicz's operational probability distributions for which the filter reference state is a squeezed vaccuum state.
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