Dissipative quantum theory: implications for quantum entanglement

Three inter-related topics are discussed here. (1) the Lindblad dynamics of quantum dissipative systems; (2) quantum entanglement in composite systems and its quantification based on the Tsallis entropy; and (3) robustness of entanglement under dissipation. After a brief review of the Lindblad theory of quantum dissipative systems and the idea of quantum entanglement in composite quantum systems illustrated by describing the three particle systems, the behavior of entanglement under the influence of dissipative processes is discussed. These issues are of importance in the discussion of quantum nanometric systems of current research