Markovianity criteria for quantum evolution
arXiv:1201.5987 · doi:10.1088/0953-4075/45/15/154002
Abstract
We characterize a class of Markovian dynamics using the concept of divisible dynamical map. Moreover we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria are based on a simple observation that Markovian dynamics implies monotonic behavior of several well known quantities like distinguishability of states, fidelity, relative entropy and genuine entanglement measures.
17 pages
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- Open quantum systems with delayed coherent feedback
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- Non-Markovianity of Gaussian Channels
- Tensor power of dynamical maps and P- vs. CP-divisibility
- Entropy dynamics of a dephasing model in a squeezed thermal bath
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- The connection between time-local and time-nonlocal perturbation expansions
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- Geometrical bounds on irreversibility in squeezed thermal bath