相空间中算子值概率测度的构造
Constructing Operator Valued Probability Measures in Phase Space
摘要：
概率测度（准概率质量），以维格纳函数在相空间区域上的积分形式给出，产生了算子值概率测度（OVM）。研究了一般一维域和二维圆、盘等几何正迹增加映射（PTI）的OVM的一般构造方法。讨论了OVM的谱特性及其构造PIT的操作实现。
英文摘要：
Probability measures (quasi probability mass), given in the form of integrals of Wigner function over areas of the underlying phase space, give rise to operator valued probability measures (OVM). General construction methods of OVMs, are investigated in terms of geometric positive trace increasing maps (PTI), for general 1D domains, as well as 2D shapes e.g. circles, disks. Spectral properties of OVMs and operational implementations of their constructing PITs are discussed.
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。
