Identification of Markovian open system dynamics for qubit systems

Abstract

We discuss the problem of identification of the dynamical generators for open two-level quantum systems in a Markovian environment. Based on Bloch sphere representation, the identification problem is converted to the estimation of a 3-dimensional real process matrix A and an inhomogeneous term c. The parameter identifiability and sufficient conditions for completely identification of A and c are obtained. Further discussion shows that the obtained sufficient conditions are not always necessary. The approach can be generalized to finite-level open quantum systems in an arbitary Markovian environment. © 2012 The Author(s).