Resource Preservability

Understand

Resource theory is a general, model-independent approach aiming to understand the qualitative notion of resource quantitatively.

• In a given resource theory, free operations are physical processes that do not create the resource and are considered zero-cost.
• This brings the following natural question: For a given free operation, what is its ability to preserve a resource? We axiomatically formulate this ability as the resource preservability, which is constructed as a channel resource theory induced by a state resource theory.
• We provide two general classes of resource preservability monotones: One is based on state resource monotones, and another is based on channel distance measures.