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 (22)

• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Entanglement and non-Markovianity of quantum evolutions
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Assessing non-Markovian dynamics
• Canonical form of master equations and characterization of non-Markovianity
• On the degree of non-Markovianity of quantum evolution
• Non-Markovian quantum dynamics: local versus non-local
• Completely positive maps with memory
• Non-Markovian dynamics of a qubit
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
• Quantum Semi-Markov Processes
• Non-Markovian random unitary qubit dynamics
• Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
• Non-Markovianity degree for random unitary evolution
• Structure of completely positive quantum master equations with memory kernel
• On Random Unitary Channels
• Phenomenological memory-kernel master equations and time-dependent Markovian processes
• Non-Markovian master equations from piecewise dynamics
• Limits in the characteristic function description of non-Lindblad-type open quantum systems
• Testing complete positivity

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• 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
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• A solvable class of non-Markovian quantum multipartite dynamics
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• Exploring the Non-Markovian Dynamics in Depolarizing Maps
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• Multichromatic Floquet engineering of quantum dissipation