Balance in W*-dynamical systems

Abstract

Using a study of the connection between entanglement and quantum detailed balance as motivation, we define and study the concept of balance between two W -dynamical systems. Balance is defined in terms of certain correlated states (couplings), with entangled states as a specific case. Basic properties of balance are derived, and a connection with correspondences in the sense of Connection is discussed. The characterization, and possible generalizations of a quantum detailed balance condition is explored. A characterization of ergodicity in terms of balance is also given.