Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps

Abstract

We analyze the connections between the non-Markovianity degree of the most general phase-damping qubit maps and their legitimate mixtures. Using the results for image non-increasing dynamical maps, we formulate the necessary and sufficient conditions for the Pauli maps to satisfy specific divisibility criteria. Next, we examine how the non-Markovianity properties for (in general noninvertible) Pauli dynamical maps influence the properties of their convex combinations. Our results are illustrated with instructive examples. For P-divisible maps, we propose a legitimate time-local generator whose all decoherence rates are temporarily infinite.

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Cited by in corpus (6)

• Activating information backflow with the assistance of quantum SWITCH
• Measure of invertible dynamical maps under convex combinations of noninvertible dynamical maps
• Noninvertibility and non-Markovianity of quantum dynamical maps
• Phase-covariant mixtures of non-unital qubit maps
• Digital simulation of convex mixtures of Markovian and non-Markovian single qubit Pauli channels on NISQ devices
• Unidirectional information flow and positive divisibility are nonequivalent notions of quantum Markovianity for noninvertible dynamics