On admissible memory kernels for random unitary qubit evolution

Abstract

We analyze random unitary evolution of the qubit within memory kernel approach. We provide sufficient conditions which guarantee that the corresponding memory kernel generates physically legitimate quantum evolution. Interestingly, we are able to recover several well known examples and generate new classes of nontrivial qubit evolution. Surprisingly, it turns out that quantum evolution with memory kernel generated by our approach gives rise to vanishing non-Markovianity measure based on the distinguishability of quantum states.

References in corpus (7)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Assessing non-Markovian dynamics
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Quantum Semi-Markov Processes
• Non-Markovian random unitary qubit dynamics
• Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
• Structure of completely positive quantum master equations with memory kernel

Cited by in corpus (26)

• Divisibility of quantum dynamical maps and collision models
• Distributed correlations and information flows within a hybrid multipartite quantum-classical system
• Sufficient conditions for memory kernel master equation
• Is there a Floquet Lindbladian?
• Phase covariant qubit dynamics and divisibility
• Mixing-induced quantum non-Markovianity and information flow
• On generalized semi-Markov quantum evolution
• Memory kernel approach to generalized Pauli channels: Markovian, semi-Markov, and beyond
• Overview on the phenomenon of two-qubit entanglement revivals in classical environments
• Maximally non-Markovian quantum dynamics without environment backflow of information
• Stochastic Feshbach Projection for the Dynamics of Open Quantum Systems
• How quantum evolution with memory is generated in a time-local way
• Time deformations of master equations
• Quantum non-Markovian environment-to-system backflows of information: non-operational vs. operational approaches
• Markovian semigroup from mixing non-invertible dynamical maps
• Engineering fidelity of the generalized Pauli channels via legitimate memory kernels
• Detection of Bidirectional System-Environment Information Exchanges
• A solvable class of non-Markovian quantum multipartite dynamics
• Exchange of information between system and environment: facts and myths
• Memory effects in quantum dynamics modelled by quantum renewal processes
• On the hybrid Davies like generator for quantum dissipation
• Exploring the Non-Markovian Dynamics in Depolarizing Maps
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• On Functionally Commutative Quantum Systems
• Improving classical capacity of qubit dynamical maps through stationary state manipulation
• Multichromatic Floquet engineering of quantum dissipation