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arXiv · 1803.06881

Convex resource theory of non-Markovianity

Samyadeb Bhattacharya·Bihalan Bhattacharya·A. S. Majumdar
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Abstract

We establish a convex resource theory of non-Markovianity under the constraint of small time intervals within the temporal evolution. We construct the free operations, free states and a generalized bona-fide measure of non-Markovianity. The framework satisfies the basic properties of a consistent resource theory. The proposed resource quantifier is lower bounded by the optimization free Rivas-Huelga-Plenio (RHP) measure of nonMarkovianity. We further define the robustness of non-Markovianity and show that it can directly be expressed as a function of the RHP measure of non-Markovianity. This enables a physical interpretation of the RHP measure.

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Samyadeb Bhattacharya, Bihalan Bhattacharya, A. S. Majumdar. 2018-03-19. Convex resource theory of non-Markovianity. https://arxiv.org/abs/1803.06881

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