Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality
arXiv:1908.05702 · doi:10.1103/PhysRevA.100.052120
Abstract
We introduce a concept of Kadison-Schwarz divisible dynamical maps. It turns out that it is a natural generalization of the well known CP-divisibility which characterizes quantum Markovian evolution. It is proved that Kadison-Schwarz divisible maps are fully characterized in terms of time-local dissipative generators. Simple qubit evolution illustrates the concept.
9 pages
References in corpus (6)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Concepts of quantum non-Markovianity: a hierarchy
- Non-Markovian random unitary qubit dynamics
- Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps
- Information flow versus divisibility for qubit evolution
- Divisibility of qubit channels and dynamical maps
Cited by in corpus (8)
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- How to design quantum-jump trajectories via distinct master equation representations
- Construction of propagators for divisible dynamical maps
- Coherent control of dissipative dynamics in a periodically driven lattice array
- A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
- A Sufficient Criterion for Divisibility of Quantum Channels
- Unital Kadison-Schwarz Maps