Convex resource theory of non-Markovianity
Quantum Physics
2021-01-07 v2
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.
Keywords
Cite
@article{arxiv.1803.06881,
title = {Convex resource theory of non-Markovianity},
author = {Samyadeb Bhattacharya and Bihalan Bhattacharya and A. S. Majumdar},
journal= {arXiv preprint arXiv:1803.06881},
year = {2021}
}
Comments
5 pages, Comments are welcome