The reference system and not completely positive open quantum dynamics
arXiv:1702.08718 · doi:10.1103/PhysRevA.97.032127
Abstract
Open quantum dynamics in a tripartite scenario including a system, its environment and a passive reference is shown to resolve several open questions regarding not completely positive (NCP) dynamical maps as valid descriptions of open quantum evolution. The steering states of the system and the environment with respect to the reference, reduced down to a dense, compact set of states of the system alone, provides a well defined domain of action for a bonafide dynamical map describing the open evolution of the system. The map is not restricted to being completely positive (CP) but it preserves the positivity of all states in its domain. NCP open dynamics corresponding to different initial configurations of the tripartite system are explored.
9 pages, 4 figures
References in corpus (8)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum steering: a review with focus on semidefinite programming
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Completely Positive Maps and Classical Correlations
- Quantum process tomography and Linblad estimation of a solid state qubit
- Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
- Vanishing quantum discord is not necessary for completely-positive maps