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.
arXiv comment9 pages, 4 figures
References in corpus (21)
- Decoherence, einselection, and the quantum origins of the classical
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Prescription for experimental determination of the dynamics of a quantum black box
- Measure for the Non-Markovianity of Quantum Processes
- 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 Steering Ellipsoids
- Dynamics of initially entangled open quantum systems
- Entanglement and the Thermodynamic Arrow of Time
- Recovering Entanglement by Local Operations
- Quantum process tomography and Linblad estimation of a solid state qubit
- On complete positivity, Markovianity, and the quantum data-processing inequality, in the presence of initial system-environment correlations
- Operational approach to open dynamics and quantifying initial correlations
- A general framework for complete positivity
- Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
- Vanishing quantum discord is not necessary for completely-positive maps
- Affine maps of density matrices