Nakajima-Zwanzig and Time-Convolutionless Master Equations for a One-Qubit System in a Non-Markovian Layered Environment

作者：Mahdian M^*; Mehrabpour H

来源：International Journal of Theoretical Physics, 2014, 53(8): 2785-2795.

DOI：10.1007/s10773-014-2075-z

• Kraus representations
• Completely positive map
• Quantum discord
• Nakajima-Zwanzing and Time-convolutionless master equations

Quantum operations, are completely positive (CP) and 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 one-qubit open quantum system in layered environment which is a generalized spin star model. The Nakajima-Zwanzig and time-convolutionless projection operators technique are applied for deriving the master equations. Finally, a simple example will be studied to consider the relation between completely positive maps and initial quantum correlation and show that vanishing quantum discord is not necessary for CP maps.

• 出版日期2014-8