Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps

• URL: http://arxiv.org/abs/2104.06489v2
• Date: Tue, 28 Sep 2021 22:18:07 GMT
• Title: Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps
• Authors: Katarzyna Siudzi\'nska
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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