G. Cassinelli, MATHEMATICAL FOUNDATIONS OF CLASSICAL EMBEDDINGS OF QUANTUM-MECHANICAL STATE-SPACES, International journal of theoretical physics, 32(12), 1993, pp. 2323-2333
In this paper we review the basic mathematical properties that allow t
he embedding of quantum state spaces into spaces of classical probabil
ity measures. In particular, the precise topological structures used f
or these immersions are described.