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arXiv · 2104.06489

Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps

Katarzyna Siudzińska
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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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Katarzyna Siudzińska. 2021-04-13. Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps. https://doi.org/10.1088/1751-8121%2Fac65c0

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