1304.5918 (Mahmoud Mahdian et al.)

Kraus representation for maps and master equation in spin star model
with layered environment    [PDF]

Mahmoud Mahdian, Hadi Mehrabpour

Quantum operations are usually defined as completely positive (CP), trace preserving (TP) maps on quantum states, and can be represented by operator-sum or Kraus representations. In this paper, we calculate operator-sum representation and master equation of an exactly solvable dynamic of one-qubit open system in layered environment . On the other hand, we obtain exact Nakajima-Zwanzig (NZ) and time-convolutionless (TCL) master equation from the maps. Finally, we study a simple example to consider the relation between CP maps and initial quantum correlation and show that vanishing initial quantum correlation is not necessary for CP maps.

View original: http://arxiv.org/abs/1304.5918