On the non-Markovianity of quantum semi-Markov processes
arXiv:2012.11219 · doi:10.1007/s11128-021-03302-x
Abstract
The non-Markovianity of the stochastic process called the quantum semi-Markov (QSM) process is studied using a recently proposed quantification of memory based on the deviation from semigroup evolution, that provides a unified description of divisible and indivisible channels. This is shown to bring out the property of QSM processes to exhibit memory effects even in the CP-divisible regime, in agreement with an earlier result. An operational meaning to the non-Markovian nature of semi-Markov processes is also provided.
7 pages, 3 figures
References in corpus (12)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Operational Markov condition for quantum processes
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Collision-model-based approach to non-Markovian quantum dynamics
- Structure of completely positive quantum master equations with memory kernel
- All-optical quantum simulator of qubit noisy channels
- Conditional past-future correlation induced by non-Markovian dephasing reservoirs
- General structure of quantum collisional models
- Hierarchy of quantum correlations under non-Markovian dynamics
- Non-Markovian channel from the reduced dynamics of coin in quantum walk
- Evolution equations for quantum semi-Markov dynamics
- Memory effects in quantum dynamics modelled by quantum renewal processes