Currencies in Resource Theories

How may we quantify the value of physical resources, such as entangled quantum states, heat baths or lasers? Existing resource theories give us partial answers; however, these rely on idealizations, like perfectly independent copies states exact knowledge a state. Here introduce general tool “currencies” to realistic descriptions applicable in experimental settings when do not have perfect control over system, only neighbourhood state some its properties are known, slight correlations cannot be ruled out. Currencies subset resources chosen all other resources—like Bell pairs LOCC lifted weight thermodynamics. We show that from very weak assumptions theory can already find useful currencies necessary and sufficient conditions for conversion, build up more results impose further structure. This work generalizes axiomatic approaches thermodynamic entropy, made local copies. In particular, by applying our approach unital maps, derive operational single-shot entropies arbitrary, non-probabilistic resources.