Showing papers on "Coherent information published in 1979"

Entropy in operational statistics and quantum logic

Abstract: In a series of recent papers, Randall and Foulis have developed a generalized theory of probability (operational statistics) which is based on the notion of a physical operation. They have shown that the quantum logic description of quantum mechanics can be naturally imbedded into this generalized theory of probability. In this paper we shall investigate the role of entropy (in the sense of Shannon's theory of information) in operational statistics. We shall find that there are several related entropy concepts in operational statistics. We shall examine the relationships between these different entropy concepts and examine their implications for the foundations of quantum theory. We shall also examine the extension of the Jaynes inference scheme to the operational statistics formalism, and apply the latter to the case of quantum statistical mechanics.

Information theory density matrix for a simple quantum system

Abstract: The density matrix is derived that best describes, according to information theory, a one‐dimensional single particle quantum system, when the only information available is the values for the linear and quadratic position‐momentum moments. In addition, moment generating functions and the time development of the system under a simple interaction are considered.