Kraus representation for maps and master equation in spin star model with layered environment
arXiv:1304.5918
Abstract
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.
arXiv comment19 pages. arXiv admin note: text overlap with arXiv:quant-ph/0311091, arXiv:1005.1604, arXiv:quant-ph/0108136 by other authors
References in corpus (16)
- Introducing Quantum Discord
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Completely Positive Maps and Classical Correlations
- Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
- Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system
- Kraus representation in the presence of initial correlations
- Channel Capacities of an Exactly Solvable Spin-Star System
- Simple Non-Markovian Microscopic Models for the Depolarizing Channel of a Single Qubit
- Properties of the Quantum Channel
- Purification and correlated measurements of bipartite mixed states
- Kraus representation for density operator of arbitrary open qubit system
- Comment on ``Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation'' [PRA 64, 062106 (2001)]
- Exact dynamics of one-qubit system in layered environment