ERGODIC THEOREM FOR QUANTUM DYNAMICALSEMIGROUP ON DECOHERENCE-FREE SUBALGEBRA OF AQUANTUM MARKOV SEMIGROUP

Abstract

In this work, we study ergodic theorem for quantum dynamical semigroup on decoherence-free subalgebra of quantum Markov semigroup. A quantum dynamical semigroup of non-expansive maps which has at least one stationary point was established on decoherence-free subalgebra.The measurability of the semigroup was then used to ensure the weak convergence of the Cesaro means to a stationary point