The weight of informativeness of a measurement exactly quantifies the optimal advantage in quantum state exclusion games and equals the single-shot excludible information of the associated quantum-to-classical channel.
Convex resource theory of non-Markovianity
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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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Weight of informativeness, state exclusion games and excludible information
The weight of informativeness of a measurement exactly quantifies the optimal advantage in quantum state exclusion games and equals the single-shot excludible information of the associated quantum-to-classical channel.