Non-Markovianity Hierarchy of Gaussian Processes and Quantum Amplification
arXiv:1610.07893 · doi:10.1103/PhysRevLett.118.050401
Abstract
We investigate dynamics of Gaussian states of continuous variable systems under Gaussianity preserving channels. We introduce a hierarchy of such evolutions encompassing Markovian, weakly and strongly non-Markovian processes, and provide simple criteria to distinguish between the classes, based on the degree of positivity of intermediate Gaussian maps. We classify all single-mode phase-insensitive Gaussian channels according to their non-Markovianity degree, and show that weak non-Markovianity has an operational significance as it leads to temporary amplification of Gaussian inputs beyond the fundamental quantum limit. Explicit examples and applications are discussed.
10 pages, 1 figure; close to published version
References in corpus (12)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Assessing non-Markovian dynamics
- Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
- Gaussian states in continuous variable quantum information
- Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
- Non-Markovianity through flow of information between a system and an environment
- Characterizing non-Markovianity via quantum interferometric power
- All-optical non-Markovian stroboscopic quantum simulator
- Normal form decomposition for Gaussian-to-Gaussian superoperators
- Energy backflow in strongly coupled non-Markovian continuous-variables systems