Resource convertibility and ordered commutative monoids

Understand

Resources and their use and consumption form a central part of our life.

• Many branches of science and engineering are concerned with the question of which given resource objects can be converted into which target resource objects.
• For example, information theory studies the conversion of a noisy communication channel instance into an exchange of information.
• Inspired by work in quantum information theory, we develop a general mathematical toolbox for this type of question.